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130126507414736 = 2472192459771989
BaseRepresentation
bin11101100101100101110000…
…010000000001010011010000
3122001201222021001000211002212
4131211211300100001103100
5114023443041344232421
61140431143042531252
736260221106040500
oct3545456020012320
9561658231024085
10130126507414736
113850a384054358
1212717480066b28
13577bb529b8301
14241c229879a00
151009d509b6e5b
hex7659704014d0

130126507414736 has 90 divisors (see below), whose sum is σ = 309530917511730. Its totient is φ = 52833318685056.

The previous prime is 130126507414723. The next prime is 130126507414741. The reversal of 130126507414736 is 637414705621031.

It can be written as a sum of positive squares in only one way, i.e., 93409209544336 + 36717297870400 = 9664844^2 + 6059480^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 229602971 + ... + 230169018.

It is an arithmetic number, because the mean of its divisors is an integer number (3439232416797).

Almost surely, 2130126507414736 is an apocalyptic number.

130126507414736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

130126507414736 is an abundant number, since it is smaller than the sum of its proper divisors (179404410096994).

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

130126507414736 is a wasteful number, since it uses less digits than its factorization.

130126507414736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459772049 (or 459772017 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 50.

The spelling of 130126507414736 in words is "one hundred thirty trillion, one hundred twenty-six billion, five hundred seven million, four hundred fourteen thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 19 28 38 49 56 76 98 112 133 152 196 266 304 361 392 532 722 784 931 1064 1444 1862 2128 2527 2888 3724 5054 5776 7448 10108 14896 17689 20216 35378 40432 70756 141512 283024 459771989 919543978 1839087956 3218403923 3678175912 6436807846 7356351824 8735667791 12873615692 17471335582 22528827461 25747231384 34942671164 45057654922 51494462768 61149674537 69885342328 90115309844 122299349074 139770684656 165977688029 180230619688 244598698148 331955376058 360461239376 428047721759 489197396296 663910752116 856095443518 978394792592 1161843816203 1327821504232 1712190887036 2323687632406 2655643008464 3424381774072 4647375264812 6848763548144 8132906713421 9294750529624 16265813426842 18589501059248 32531626853684 65063253707368 130126507414736