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646474711128 = 2331723223308929
BaseRepresentation
bin10010110100001001110…
…01010100000001011000
32021210122221012222220120
421122010321110001120
541042440011224003
61212553020353240
764464150243441
oct11320471240130
92253587188816
10646474711128
1122a194136974
12a535b0a5820
1348c6824808c
142340a7122c8
1511c39eac853
hex9684e54058

646474711128 has 128 divisors (see below), whose sum is σ = 1793672294400. Its totient is φ = 193126957056.

The previous prime is 646474711097. The next prime is 646474711133. The reversal of 646474711128 is 821117474646.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1938168 + ... + 2247096.

It is an arithmetic number, because the mean of its divisors is an integer number (14013064800).

Almost surely, 2646474711128 is an apocalyptic number.

646474711128 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 646474711128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896836147200).

646474711128 is an abundant number, since it is smaller than the sum of its proper divisors (1147197583272).

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

646474711128 is a wasteful number, since it uses less digits than its factorization.

646474711128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309201 (or 309197 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 51.

The spelling of 646474711128 in words is "six hundred forty-six billion, four hundred seventy-four million, seven hundred eleven thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 17 23 24 34 46 51 68 69 92 102 136 138 184 204 223 276 391 408 446 552 669 782 892 1173 1338 1564 1784 2346 2676 3128 3791 4692 5129 5352 7582 9384 10258 11373 15164 15387 20516 22746 30328 30774 41032 45492 61548 87193 90984 123096 174386 261579 308929 348772 523158 617858 697544 926787 1046316 1235716 1853574 2092632 2471432 3707148 5251793 7105367 7414296 10503586 14210734 15755379 21007172 21316101 28421468 31510758 42014344 42632202 56842936 63021516 68891167 85264404 120791239 126043032 137782334 170528808 206673501 241582478 275564668 362373717 413347002 483164956 551129336 724747434 826694004 966329912 1171149839 1449494868 1584496841 1653388008 2342299678 2898989736 3168993682 3513449517 4684599356 4753490523 6337987364 7026899034 9369198712 9506981046 12675974728 14053798068 19013962092 26936446297 28107596136 38027924184 53872892594 80809338891 107745785188 161618677782 215491570376 323237355564 646474711128