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23904016704 = 263397714159
BaseRepresentation
bin10110010000110010…
…100101100101000000
32021200220121212101000
4112100302211211000
5342423412013304
614551550012000
71504235534541
oct262062454500
967626555330
1023904016704
11a157215607
1247714a7000
13233c460ba9
14122a9b24c8
1594d881939
hex590ca5940

23904016704 has 112 divisors (see below), whose sum is σ = 70350278400. Its totient is φ = 7959287808.

The previous prime is 23904016687. The next prime is 23904016751. The reversal of 23904016704 is 40761040932.

It is a super-2 number, since 2×239040167042 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1681177 + ... + 1695335.

Almost surely, 223904016704 is an apocalyptic number.

23904016704 is a gapful number since it is divisible by the number (24) 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 23904016704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35175139200).

23904016704 is an abundant number, since it is smaller than the sum of its proper divisors (46446261696).

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

23904016704 is a wasteful number, since it uses less digits than its factorization.

23904016704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15157 (or 15141 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 23904016704 in words is "twenty-three billion, nine hundred four million, sixteen thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 977 1728 1954 2931 3908 5862 7816 8793 11724 14159 15632 17586 23448 26379 28318 31264 35172 42477 46896 52758 56636 62528 70344 84954 93792 105516 113272 127431 140688 169908 187584 211032 226544 254862 281376 339816 382293 422064 453088 509724 562752 679632 764586 844128 906176 1019448 1359264 1529172 1688256 2038896 2718528 3058344 4077792 6116688 8155584 12233376 13833343 24466752 27666686 41500029 55333372 83000058 110666744 124500087 166000116 221333488 249000174 332000232 373500261 442666976 498000348 664000464 747000522 885333952 996000696 1328000928 1494001044 1992001392 2656001856 2988002088 3984002784 5976004176 7968005568 11952008352 23904016704