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6642379944 = 2333172378649
BaseRepresentation
bin1100010111110101…
…01010110010101000
3122010220210212022000
412023322222302220
5102100422124234
63015041131000
7323414204124
oct61372526250
918126725260
106642379944
1128a94a5402
121354629a60
1381b1b2545
14470268584
1528d227899
hex18beaaca8

6642379944 has 128 divisors (see below), whose sum is σ = 20386080000. Its totient is φ = 1993254912.

The previous prime is 6642379943. The next prime is 6642379969. The reversal of 6642379944 is 4499732466.

6642379944 is a `hidden beast` number, since 66 + 423 + 79 + 94 + 4 = 666.

It is a super-2 number, since 2×66423799442 = 88242422640906886272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6642379943) 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 31 ways as a sum of consecutive naturals, for example, 45132 + ... + 123780.

It is an arithmetic number, because the mean of its divisors is an integer number (159266250).

Almost surely, 26642379944 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 6642379944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10193040000).

6642379944 is an abundant number, since it is smaller than the sum of its proper divisors (13743700056).

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

6642379944 is a wasteful number, since it uses less digits than its factorization.

6642379944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78704 (or 78694 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 54.

The square root of 6642379944 is about 81500.7971985551. The cubic root of 6642379944 is about 1879.7838086996.

The spelling of 6642379944 in words is "six billion, six hundred forty-two million, three hundred seventy-nine thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 23 24 27 34 36 46 51 54 68 69 72 92 102 108 136 138 153 184 204 207 216 276 306 391 408 414 459 552 612 621 782 828 918 1173 1224 1242 1564 1656 1836 2346 2484 3128 3519 3672 4692 4968 7038 9384 10557 14076 21114 28152 42228 78649 84456 157298 235947 314596 471894 629192 707841 943788 1337033 1415682 1808927 1887576 2123523 2674066 2831364 3617854 4011099 4247046 5348132 5426781 5662728 7235708 8022198 8494092 10696264 10853562 12033297 14471416 16044396 16280343 16988184 21707124 24066594 30751759 32088792 32560686 36099891 43414248 48133188 48841029 61503518 65121372 72199782 92255277 96266376 97682058 123007036 130242744 144399564 184510554 195364116 246014072 276765831 288799128 369021108 390728232 553531662 738042216 830297493 1107063324 1660594986 2214126648 3321189972 6642379944