[go: up one dir, main page]

Search a number
-
+
7638989568 = 28372835021
BaseRepresentation
bin1110001110101000…
…11011101100000000
3201201101002212200120
413013110123230000
5111121040131233
63302002020240
7360205224420
oct70724335400
921641085616
107638989568
113270012a21
121592347680
13949803492
14526772480
152ea9894b3
hex1c751bb00

7638989568 has 144 divisors (see below), whose sum is σ = 23322007296. Its totient is φ = 2174423040.

The previous prime is 7638989521. The next prime is 7638989573. The reversal of 7638989568 is 8659898367.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1518898 + ... + 1523918.

It is an arithmetic number, because the mean of its divisors is an integer number (161958384).

Almost surely, 27638989568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7638989568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11661003648).

7638989568 is an abundant number, since it is smaller than the sum of its proper divisors (15683017728).

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

7638989568 is a wasteful number, since it uses less digits than its factorization.

7638989568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5330 (or 5316 counting only the distinct ones).

The product of its digits is 156764160, while the sum is 69.

The square root of 7638989568 is about 87401.3133082106. The cubic root of 7638989568 is about 1969.4515697029.

The spelling of 7638989568 in words is "seven billion, six hundred thirty-eight million, nine hundred eighty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 283 336 384 448 566 672 768 849 896 1132 1344 1698 1792 1981 2264 2688 3396 3962 4528 5021 5376 5943 6792 7924 9056 10042 11886 13584 15063 15848 18112 20084 23772 27168 30126 31696 35147 36224 40168 47544 54336 60252 63392 70294 72448 80336 95088 105441 108672 120504 126784 140588 160672 190176 210882 217344 241008 253568 281176 321344 380352 421764 482016 507136 562352 642688 760704 843528 964032 1124704 1285376 1420943 1521408 1687056 1928064 2249408 2841886 3374112 3856128 4262829 4498816 5683772 6748224 8525658 8997632 9946601 11367544 13496448 17051316 19893202 22735088 26992896 29839803 34102632 39786404 45470176 59679606 68205264 79572808 90940352 119359212 136410528 159145616 181880704 238718424 272821056 318291232 363761408 477436848 545642112 636582464 954873696 1091284224 1273164928 1909747392 2546329856 3819494784 7638989568