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96875896720 = 24517239298043
BaseRepresentation
bin101101000111001000…
…0001101111110010000
3100021001110002110012211
41122032100031332100
53041400212143340
6112300522401504
76666450351451
oct1321620157620
9307043073184
1096875896720
11380a2a11069
1216937660294
13919b4c5715
144990191128
1527bed2e5ea
hex168e40df90

96875896720 has 80 divisors (see below), whose sum is σ = 239484314880. Its totient is φ = 36318205952.

The previous prime is 96875896699. The next prime is 96875896729. The reversal of 96875896720 is 2769857869.

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

It is not an unprimeable number, because it can be changed into a prime (96875896729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176019 + ... + 474061.

It is an arithmetic number, because the mean of its divisors is an integer number (2993553936).

Almost surely, 296875896720 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 96875896720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119742157440).

96875896720 is an abundant number, since it is smaller than the sum of its proper divisors (142608418160).

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

96875896720 is a wasteful number, since it uses less digits than its factorization.

96875896720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298312 (or 298306 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 67.

The spelling of 96875896720 in words is "ninety-six billion, eight hundred seventy-five million, eight hundred ninety-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 239 272 340 478 680 956 1195 1360 1912 2390 3824 4063 4780 8126 9560 16252 19120 20315 32504 40630 65008 81260 162520 298043 325040 596086 1192172 1490215 2384344 2980430 4768688 5066731 5960860 10133462 11921720 20266924 23843440 25333655 40533848 50667310 71232277 81067696 101334620 142464554 202669240 284929108 356161385 405338480 569858216 712322770 1139716432 1210948709 1424645540 2421897418 2849291080 4843794836 5698582160 6054743545 9687589672 12109487090 19375179344 24218974180 48437948360 96875896720