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23868106240 = 29511847589
BaseRepresentation
bin10110001110101001…
…100110011000000000
32021121102001102110211
4112032221212120000
5342340213344430
614544224203504
71503321361366
oct261651463000
967542042424
1023868106240
11a138a18540
124761469594
132334b998b4
141225d05636
1594a63b72a
hex58ea66600

23868106240 has 80 divisors (see below), whose sum is σ = 62430089040. Its totient is φ = 8679301120.

The previous prime is 23868106201. The next prime is 23868106333. The reversal of 23868106240 is 4260186832.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 23868106193 and 23868106202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 395635 + ... + 451954.

It is an arithmetic number, because the mean of its divisors is an integer number (780376113).

Almost surely, 223868106240 is an apocalyptic number.

23868106240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23868106240 is an abundant number, since it is smaller than the sum of its proper divisors (38561982800).

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

23868106240 is an equidigital number, since it uses as much as digits as its factorization.

23868106240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847623 (or 847607 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The spelling of 23868106240 in words is "twenty-three billion, eight hundred sixty-eight million, one hundred six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1280 1408 1760 2560 2816 3520 5632 7040 14080 28160 847589 1695178 3390356 4237945 6780712 8475890 9323479 13561424 16951780 18646958 27122848 33903560 37293916 46617395 54245696 67807120 74587832 93234790 108491392 135614240 149175664 186469580 216982784 271228480 298351328 372939160 433965568 542456960 596702656 745878320 1084913920 1193405312 1491756640 2169827840 2386810624 2983513280 4773621248 5967026560 11934053120 23868106240