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130916606976 = 2103237692
BaseRepresentation
bin111100111101100111…
…1001110010000000000
3110111220210200201000100
41321323033032100000
54121104122410401
6140050421122400
712313143540621
oct1717317162000
9414823621010
10130916606976
1150581014561
1221457859400
13c464a6411c
14649d109a48
153613570b86
hex1e7b3ce400

130916606976 has 99 divisors (see below), whose sum is σ = 378119185041. Its totient is φ = 43627290624.

The previous prime is 130916606971. The next prime is 130916606999. The reversal of 130916606976 is 679606619031.

The square root of 130916606976 is 361824.

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

130916606976 is a `hidden beast` number, since 13 + 0 + 9 + 16 + 606 + 9 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 108488549376 + 22428057600 = 329376^2 + 149760^2 .

It is not an unprimeable number, because it can be changed into a prime (130916606971) 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, 34733220 + ... + 34736988.

Almost surely, 2130916606976 is an apocalyptic number.

130916606976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

130916606976 is the 361824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130916606976

130916606976 is an abundant number, since it is smaller than the sum of its proper divisors (247202578065).

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

130916606976 is an frugal number, since it uses more digits than its factorization.

130916606976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7564 (or 3774 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 130916606976 in words is "one hundred thirty billion, nine hundred sixteen million, six hundred six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 3769 4608 7538 9216 11307 15076 22614 30152 33921 45228 60304 67842 90456 120608 135684 180912 241216 271368 361824 482432 542736 723648 964864 1085472 1447296 1929728 2170944 2894592 3859456 4341888 5789184 8683776 11578368 14205361 17367552 28410722 34735104 42616083 56821444 85232166 113642888 127848249 170464332 227285776 255696498 340928664 454571552 511392996 681857328 909143104 1022785992 1363714656 1818286208 2045571984 2727429312 3636572416 4091143968 5454858624 7273144832 8182287936 10909717248 14546289664 16364575872 21819434496 32729151744 43638868992 65458303488 130916606976