Search a number
-
+
136958610163712 = 211418627189067
BaseRepresentation
bin11111001001000000101001…
…010011101100100000000000
3122221221010010000200201200112
4133021000221103230200000
5120422412213200214322
61203141530015410452
740563635015156231
oct3711005123544000
9587833100621615
10136958610163712
113a703902a2a9a7
121343b5b5523a28
135b561abbcaa0c
1425b6b913dd088
1510c791b2775e2
hex7c90294ec800

136958610163712 has 96 divisors (see below), whose sum is σ = 280563624300960. Its totient is φ = 66800980623360.

The previous prime is 136958610163691. The next prime is 136958610163777. The reversal of 136958610163712 is 217361016859631.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 724297403 + ... + 724486469.

It is an arithmetic number, because the mean of its divisors is an integer number (2922537753135).

Almost surely, 2136958610163712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136958610163712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140281812150480).

136958610163712 is an abundant number, since it is smaller than the sum of its proper divisors (143605014137248).

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

136958610163712 is an equidigital number, since it uses as much as digits as its factorization.

136958610163712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197757 (or 197737 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 59.

The spelling of 136958610163712 in words is "one hundred thirty-six trillion, nine hundred fifty-eight billion, six hundred ten million, one hundred sixty-three thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 512 656 1024 1312 2048 2624 5248 8627 10496 17254 20992 34508 41984 69016 83968 138032 189067 276064 353707 378134 552128 707414 756268 1104256 1414828 1512536 2208512 2829656 3025072 4417024 5659312 6050144 7751747 8834048 11318624 12100288 15503494 17668096 22637248 24200576 31006988 45274496 48401152 62013976 90548992 96802304 124027952 181097984 193604608 248055904 362195968 387209216 496111808 724391936 992223616 1631081009 1984447232 3262162018 3968894464 6524324036 7937788928 13048648072 15875577856 26097296144 52194592288 66874321369 104389184576 133748642738 208778369152 267497285476 417556738304 534994570952 835113476608 1069989141904 1670226953216 2139978283808 3340453906432 4279956567616 8559913135232 17119826270464 34239652540928 68479305081856 136958610163712