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87972180464 = 24743313271367
BaseRepresentation
bin101000111101110001…
…1001111000111110000
322102001221011210200002
41101323203033013300
52420131334233324
6104225221045132
76233014124150
oct1217343170760
9272057153602
1087972180464
1134344003283
12150718567a8
1383ac98756c
144387880760
15244d3213ae
hex147b8cf1f0

87972180464 has 80 divisors (see below), whose sum is σ = 195535484928. Its totient is φ = 37559448576.

The previous prime is 87972180403. The next prime is 87972180469. The reversal of 87972180464 is 46408127978.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87972180469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64353509 + ... + 64354875.

Almost surely, 287972180464 is an apocalyptic number.

It is an amenable number.

87972180464 is an abundant number, since it is smaller than the sum of its proper divisors (107563304464).

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

87972180464 is a wasteful number, since it uses less digits than its factorization.

87972180464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3142 (or 3136 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 56.

The spelling of 87972180464 in words is "eighty-seven billion, nine hundred seventy-two million, one hundred eighty thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 433 866 1327 1367 1732 2654 2734 3031 3464 5308 5468 6062 6928 9289 9569 10616 10936 12124 18578 19138 21232 21872 24248 37156 38276 48496 74312 76552 148624 153104 574591 591911 1149182 1183822 1814009 2298364 2367644 3628018 4022137 4143377 4596728 4735288 7256036 8044274 8286754 9193456 9470576 12698063 14512072 16088548 16573508 25396126 29024144 32177096 33147016 50792252 64354192 66294032 101584504 203169008 785465897 1570931794 3141863588 5498261279 6283727176 10996522558 12567454352 21993045116 43986090232 87972180464