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95990910976 = 2124721032
BaseRepresentation
bin101100101100110000…
…0010001000000000000
3100011202202211112000001
41121121200101000000
53033042133122401
6112033030205344
76635513165212
oct1313140210000
9304682745001
1095990910976
1137789404194
121672b1b3854
13908a05800c
1449088225b2
15276c2bb601
hex1659811000

95990910976 has 117 divisors (see below), whose sum is σ = 198052163031. Its totient is φ = 46518214656.

The previous prime is 95990910973. The next prime is 95990910997. The reversal of 95990910976 is 67901909959.

The square root of 95990910976 is 309824.

It is a perfect power (a square), and thus also a powerful number.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (95990910973) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 931950541 + ... + 931950643.

Almost surely, 295990910976 is an apocalyptic number.

95990910976 is the 309824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95990910976

95990910976 is an abundant number, since it is smaller than the sum of its proper divisors (102061252055).

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

95990910976 is an frugal number, since it uses more digits than its factorization.

95990910976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 12400290, while the sum is 64.

Multiplying 95990910976 by its sum of digits (64), we get a square (6143418302464 = 24785922).

95990910976 divided by its sum of digits (64) gives a square (1499857984 = 387282).

The spelling of 95990910976 in words is "ninety-five billion, nine hundred ninety million, nine hundred ten thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 47 64 94 103 128 188 206 256 376 412 512 752 824 1024 1504 1648 2048 2209 3008 3296 4096 4418 4841 6016 6592 8836 9682 10609 12032 13184 17672 19364 21218 24064 26368 35344 38728 42436 48128 52736 70688 77456 84872 96256 105472 141376 154912 169744 192512 210944 227527 282752 309824 339488 421888 455054 498623 565504 619648 678976 910108 997246 1131008 1239296 1357952 1820216 1994492 2262016 2478592 2715904 3640432 3988984 4524032 4957184 5431808 7280864 7977968 9048064 9914368 10863616 14561728 15955936 19828736 21727232 23435281 29123456 31911872 43454464 46870562 58246912 63823744 93741124 116493824 127647488 187482248 232987648 255294976 374964496 465975296 510589952 749928992 931950592 1021179904 1499857984 2042359808 2999715968 5999431936 11998863872 23997727744 47995455488 95990910976