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87700432896 = 2113244910597
BaseRepresentation
bin101000110101101011…
…0100110100000000000
322101100222211121002100
41101223112212200000
52414102302323041
6104142232350400
76223204244166
oct1215326464000
9271328747070
1087700432896
113421467630a
1214bb6845400
13836859c19b
14435d743236
1524345436b6
hex146b5a6800

87700432896 has 144 divisors (see below), whose sum is σ = 253883038500. Its totient is φ = 29165617152.

The previous prime is 87700432891. The next prime is 87700432901. The reversal of 87700432896 is 69823400778.

It is an interprime number because it is at equal distance from previous prime (87700432891) and next prime (87700432901).

It can be written as a sum of positive squares in 2 ways, for example, as 82447082496 + 5253350400 = 287136^2 + 72480^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (87700432891) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8270670 + ... + 8281266.

Almost surely, 287700432896 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 87700432896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126941519250).

87700432896 is an abundant number, since it is smaller than the sum of its proper divisors (166182605604).

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

87700432896 is a wasteful number, since it uses less digits than its factorization.

87700432896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11074 (or 11051 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 87700432896 in words is "eighty-seven billion, seven hundred million, four hundred thirty-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 449 512 576 768 898 1024 1152 1347 1536 1796 2048 2304 2694 3072 3592 4041 4608 5388 6144 7184 8082 9216 10597 10776 14368 16164 18432 21194 21552 28736 31791 32328 42388 43104 57472 63582 64656 84776 86208 95373 114944 127164 129312 169552 172416 190746 229888 254328 258624 339104 344832 381492 459776 508656 517248 678208 689664 762984 919552 1017312 1034496 1356416 1379328 1525968 2034624 2068992 2712832 2758656 3051936 4069248 4137984 4758053 5425664 6103872 8138496 8275968 9516106 10851328 12207744 14274159 16276992 19032212 21702656 24415488 28548318 32553984 38064424 42822477 48830976 57096636 65107968 76128848 85644954 97661952 114193272 152257696 171289908 195323904 228386544 304515392 342579816 456773088 609030784 685159632 913546176 1218061568 1370319264 1827092352 2436123136 2740638528 3654184704 4872246272 5481277056 7308369408 9744492544 10962554112 14616738816 21925108224 29233477632 43850216448 87700432896