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6106126848 = 29323307563
BaseRepresentation
bin1011010111111010…
…00001101000000000
3120202112202101100020
411223331001220000
5100001132024343
62445523253440
7304213136043
oct55375015000
916675671306
106106126848
112653827528
121224b1a280
13764076213
1441cd56c5a
1525b0ecb83
hex16bf41a00

6106126848 has 160 divisors (see below), whose sum is σ = 17059908096. Its totient is φ = 1937092608.

The previous prime is 6106126847. The next prime is 6106126879. The reversal of 6106126848 is 8486216016.

It is not an unprimeable number, because it can be changed into a prime (6106126847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10845415 + ... + 10845977.

Almost surely, 26106126848 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 6106126848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8529954048).

6106126848 is an abundant number, since it is smaller than the sum of its proper divisors (10953781248).

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

6106126848 is a wasteful number, since it uses less digits than its factorization.

6106126848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 6106126848 is about 78141.7100401572. The cubic root of 6106126848 is about 1827.7716661815.

The spelling of 6106126848 in words is "six billion, one hundred six million, one hundred twenty-six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 307 368 384 512 552 563 614 736 768 921 1104 1126 1228 1472 1536 1689 1842 2208 2252 2456 2944 3378 3684 4416 4504 4912 5888 6756 7061 7368 8832 9008 9824 11776 12949 13512 14122 14736 17664 18016 19648 21183 25898 27024 28244 29472 35328 36032 38847 39296 42366 51796 54048 56488 58944 72064 77694 78592 84732 103592 108096 112976 117888 144128 155388 157184 169464 172841 207184 216192 225952 235776 288256 310776 338928 345682 414368 432384 451904 471552 518523 621552 677856 691364 828736 864768 903808 1037046 1243104 1355712 1382728 1657472 1807616 2074092 2486208 2711424 2765456 3314944 3615232 3975343 4148184 4972416 5422848 5530912 6629888 7950686 8296368 9944832 10845696 11061824 11926029 15901372 16592736 19889664 22123648 23852058 31802744 33185472 44247296 47704116 63605488 66370944 88494592 95408232 127210976 132741888 190816464 254421952 265483776 381632928 508843904 763265856 1017687808 1526531712 2035375616 3053063424 6106126848