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2139617536 = 2874592
BaseRepresentation
bin111111110000111…
…1111100100000000
312112010001211110221
41333201333210000
513340220230121
6552151232424
7104010310000
oct17741774400
95463054427
102139617536
119a8838361
124b8678714
1328137c5a4
14164240000
15c7c90b41
hex7f87f900

2139617536 has 135 divisors (see below), whose sum is σ = 5068272251. Its totient is φ = 901436928.

The previous prime is 2139617533. The next prime is 2139617549. The reversal of 2139617536 is 6357169312.

The square root of 2139617536 is 46256.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×21396175362 = 9155926400717422592, which contains 22 as substring.

Its product of digits (204120) is a multiple of the sum of its prime factors (162).

It is a junction number, because it is equal to n+sod(n) for n = 2139617492 and 2139617501.

It is not an unprimeable number, because it can be changed into a prime (2139617533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 36264675 + ... + 36264733.

Almost surely, 22139617536 is an apocalyptic number.

2139617536 is the 46256-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2139617536

2139617536 is an abundant number, since it is smaller than the sum of its proper divisors (2928654715).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2139617536 is an frugal number, since it uses more digits than its factorization.

2139617536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 68 counting only the distinct ones).

The product of its digits is 204120, while the sum is 43.

The cubic root of 2139617536 is about 1288.5819676290.

The spelling of 2139617536 in words is "two billion, one hundred thirty-nine million, six hundred seventeen thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 59 64 98 112 118 128 196 224 236 256 343 392 413 448 472 686 784 826 896 944 1372 1568 1652 1792 1888 2401 2744 2891 3136 3304 3481 3776 4802 5488 5782 6272 6608 6962 7552 9604 10976 11564 12544 13216 13924 15104 19208 20237 21952 23128 24367 26432 27848 38416 40474 43904 46256 48734 52864 55696 76832 80948 87808 92512 97468 105728 111392 141659 153664 161896 170569 185024 194936 222784 283318 307328 323792 341138 370048 389872 445568 566636 614656 647584 682276 740096 779744 891136 1133272 1193983 1295168 1364552 1559488 2266544 2387966 2590336 2729104 3118976 4533088 4775932 5180672 5458208 6237952 8357881 9066176 9551864 10916416 16715762 18132352 19103728 21832832 33431524 36264704 38207456 43665664 66863048 76414912 133726096 152829824 267452192 305659648 534904384 1069808768 2139617536