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23424698752 = 2771317118297
BaseRepresentation
bin10101110100001110…
…001000100110000000
32020110111200222202021
4111310032020212000
5340433210330002
614432224331224
71456325440240
oct256416104600
966414628667
1023424698752
119a306a4974
124658a73b14
13229406a7c0
1411c3081b20
15921751737
hex574388980

23424698752 has 128 divisors (see below), whose sum is σ = 60814635840. Its totient is φ = 8721727488.

The previous prime is 23424698729. The next prime is 23424698761. The reversal of 23424698752 is 25789642432.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a self number, because there is not a number n which added to its sum of digits gives 23424698752.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138868 + ... + 257164.

Almost surely, 223424698752 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 23424698752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30407317920).

23424698752 is an abundant number, since it is smaller than the sum of its proper divisors (37389937088).

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

23424698752 is a wasteful number, since it uses less digits than its factorization.

23424698752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118348 (or 118336 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 52.

The spelling of 23424698752 in words is "twenty-three billion, four hundred twenty-four million, six hundred ninety-eight thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 32 34 52 56 64 68 91 104 112 119 128 136 182 208 221 224 238 272 364 416 442 448 476 544 728 832 884 896 952 1088 1456 1547 1664 1768 1904 2176 2912 3094 3536 3808 5824 6188 7072 7616 11648 12376 14144 15232 24752 28288 49504 99008 118297 198016 236594 473188 828079 946376 1537861 1656158 1892752 2011049 3075722 3312316 3785504 4022098 6151444 6624632 7571008 8044196 10765027 12302888 13249264 14077343 15142016 16088392 21530054 24605776 26143637 26498528 28154686 32176784 43060108 49211552 52287274 52997056 56309372 64353568 86120216 98423104 104574548 105994112 112618744 128707136 172240432 183005459 196846208 209149096 225237488 257414272 344480864 366010918 418298192 450474976 688961728 732021836 836596384 900949952 1377923456 1464043672 1673192768 1801899904 2928087344 3346385536 5856174688 11712349376 23424698752