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87074234368 = 213119832
BaseRepresentation
bin101000100011000000…
…1110110000000000000
322022202100112102012021
41101012001312000000
52411312000444433
6104000143011224
76201531531412
oct1210601660000
9268670472167
1087074234368
1133a23154070
1214a60b99b14
13829892ca04
1443004da9b2
1523e959d22d
hex1446076000

87074234368 has 84 divisors (see below), whose sum is σ = 190162002708. Its totient is φ = 39538933760.

The previous prime is 87074234327. The next prime is 87074234369. The reversal of 87074234368 is 86343247078.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87074234369) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 88579605 + ... + 88580587.

Almost surely, 287074234368 is an apocalyptic number.

87074234368 is a gapful number since it is divisible by the number (88) 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 87074234368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95081001354).

87074234368 is an abundant number, since it is smaller than the sum of its proper divisors (103087768340).

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

87074234368 is an frugal number, since it uses more digits than its factorization.

87074234368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2003 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 52.

The spelling of 87074234368 in words is "eighty-seven billion, seventy-four million, two hundred thirty-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 983 1024 1408 1966 2048 2816 3932 4096 5632 7864 8192 10813 11264 15728 21626 22528 31456 43252 45056 62912 86504 90112 125824 173008 251648 346016 503296 692032 966289 1006592 1384064 1932578 2013184 2768128 3865156 4026368 5536256 7730312 8052736 10629179 11072512 15460624 21258358 22145024 30921248 42516716 44290048 61842496 85033432 88580096 123684992 170066864 247369984 340133728 494739968 680267456 989479936 1360534912 1978959872 2721069824 3957919744 5442139648 7915839488 10884279296 21768558592 43537117184 87074234368