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23684644648632 = 23311175277327239
BaseRepresentation
bin1010110001010100000101…
…10101001011011010111000
310002212020012121102111201110
411120222002311023122320
511101022123012224012
6122212324152320320
74663105400540202
oct530520265133270
9102766177374643
1023684644648632
1176016684a0680
1227a62ab6a30a0
13102a5b5c26936
145bc4b2d73772
152b115a57873c
hex158a82d4b6b8

23684644648632 has 64 divisors (see below), whose sum is σ = 68394161030400. Its totient is φ = 6754978864640.

The previous prime is 23684644648589. The next prime is 23684644648663.

It is a happy number.

23684644648632 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 2638659132 + ... + 2638668107.

It is an arithmetic number, because the mean of its divisors is an integer number (1068658766100).

Almost surely, 223684644648632 is an apocalyptic number.

23684644648632 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23684644648632 is an abundant number, since it is smaller than the sum of its proper divisors (44709516381768).

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

23684644648632 is a wasteful number, since it uses less digits than its factorization.

23684644648632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5277327276 (or 5277327272 counting only the distinct ones).

The product of its digits is 764411904, while the sum is 66.

The spelling of 23684644648632 in words is "twenty-three trillion, six hundred eighty-four billion, six hundred forty-four million, six hundred forty-eight thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 561 748 1122 1496 2244 4488 5277327239 10554654478 15831981717 21109308956 31663963434 42218617912 58050599629 63327926868 89714563063 116101199258 126655853736 174151798887 179429126126 232202398516 269143689189 348303597774 358858252252 464404797032 538287378378 696607195548 717716504504 986860193693 1076574756756 1393214391096 1973720387386 2153149513512 2960580581079 3947440774772 5921161162158 7894881549544 11842322324316 23684644648632