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87700096960 = 265739151829
BaseRepresentation
bin101000110101101010…
…1010100011111000000
322101100222012112021021
41101223111110133000
52414102211100320
6104142221235224
76223201344610
oct1215325243700
9271328175237
1087700096960
1134214466983
1214bb6702b14
1383684b22c8
14435d696a40
1524344c8daa
hex146b5547c0

87700096960 has 56 divisors (see below), whose sum is σ = 238669555680. Its totient is φ = 30068603904.

The previous prime is 87700096951. The next prime is 87700096969. The reversal of 87700096960 is 6969000778.

It is an interprime number because it is at equal distance from previous prime (87700096951) and next prime (87700096969).

It is a tau number, because it is divible by the number of its divisors (56).

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 87700096898 and 87700096907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87700096969) 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 7 ways as a sum of consecutive naturals, for example, 19573675 + ... + 19578154.

Almost surely, 287700096960 is an apocalyptic number.

87700096960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87700096960 is an abundant number, since it is smaller than the sum of its proper divisors (150969458720).

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

87700096960 is a wasteful number, since it uses less digits than its factorization.

87700096960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39151853 (or 39151843 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 52.

The spelling of 87700096960 in words is "eighty-seven billion, seven hundred million, ninety-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 39151829 78303658 156607316 195759145 274062803 313214632 391518290 548125606 626429264 783036580 1096251212 1252858528 1370314015 1566073160 2192502424 2505717056 2740628030 3132146320 4385004848 5481256060 6264292640 8770009696 10962512120 12528585280 17540019392 21925024240 43850048480 87700096960