Search a number
-
+
87876331145344 = 277711381355809
BaseRepresentation
bin10011111110110001001101…
…100000001000100010000000
3102112010220011121110200120001
4103332301031200020202000
543004231211233122334
6510521455035525344
724336566256166120
oct2376611540104200
9375126147420501
1087876331145344
1126000163000475
129a330315b9854
133a059194317b1
14179b346936c80
15a25ce9785714
hex4fec4d808880

87876331145344 has 64 divisors (see below), whose sum is σ = 202893541372800. Its totient is φ = 37130844119040.

The previous prime is 87876331145329. The next prime is 87876331145357. The reversal of 87876331145344 is 44354113367878.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 690614289 + ... + 690741520.

It is an arithmetic number, because the mean of its divisors is an integer number (3170211583950).

Almost surely, 287876331145344 is an apocalyptic number.

It is an amenable number.

87876331145344 is an abundant number, since it is smaller than the sum of its proper divisors (115017210227456).

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

87876331145344 is a wasteful number, since it uses less digits than its factorization.

87876331145344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381355901 (or 1381355889 counting only the distinct ones).

The product of its digits is 162570240, while the sum is 64.

The spelling of 87876331145344 in words is "eighty-seven trillion, eight hundred seventy-six billion, three hundred thirty-one million, one hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 71 112 128 142 224 284 448 497 568 896 994 1136 1988 2272 3976 4544 7952 9088 15904 31808 63616 1381355809 2762711618 5525423236 9669490663 11050846472 19338981326 22101692944 38677962652 44203385888 77355925304 88406771776 98076262439 154711850608 176813543552 196152524878 309423701216 392305049756 618847402432 686533837073 784610099512 1237694804864 1373067674146 1569220199024 2746135348292 3138440398048 5492270696584 6276880796096 10984541393168 12553761592192 21969082786336 43938165572672 87876331145344