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87814335488 = 210117796017
BaseRepresentation
bin101000111001000100…
…1000110110000000000
322101122221011110001212
41101302021012300000
52414320432213423
6104201421545252
76226056351545
oct1216211066000
9271587143055
1087814335488
11342729a2a90
1215028a15228
13838606c979
144370912bcc
15243e542578
hex1472246c00

87814335488 has 44 divisors (see below), whose sum is σ = 191501386152. Its totient is φ = 39915601920.

The previous prime is 87814335481. The next prime is 87814335551. The reversal of 87814335488 is 88453341878.

It is a tau number, because it is divible by the number of its divisors (44).

It is a super-2 number, since 2×878143354882 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (87814335481) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3886745 + ... + 3909272.

Almost surely, 287814335488 is an apocalyptic number.

87814335488 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

87814335488 is an abundant number, since it is smaller than the sum of its proper divisors (103687050664).

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

87814335488 is a wasteful number, since it uses less digits than its factorization.

87814335488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7796048 (or 7796030 counting only the distinct ones).

The product of its digits is 20643840, while the sum is 59.

The spelling of 87814335488 in words is "eighty-seven billion, eight hundred fourteen million, three hundred thirty-five thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2816 5632 11264 7796017 15592034 31184068 62368136 85756187 124736272 171512374 249472544 343024748 498945088 686049496 997890176 1372098992 1995780352 2744197984 3991560704 5488395968 7983121408 10976791936 21953583872 43907167744 87814335488