Search a number
-
+
136975641504 = 25313131837833
BaseRepresentation
bin111111110010001100…
…0100110101110100000
3111002120001211112211120
41333210120212232200
54221011231012004
6142531543212240
712616245512412
oct1774430465640
9432501745746
10136975641504
11531001a6909
1222668a47080
13cbbc12c560
1468b5ac49b2
15386a46a3d9
hex1fe4626ba0

136975641504 has 96 divisors (see below), whose sum is σ = 390175942464. Its totient is φ = 41824573440.

The previous prime is 136975641499. The next prime is 136975641559. The reversal of 136975641504 is 405146579631.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255429 + ... + 582404.

It is an arithmetic number, because the mean of its divisors is an integer number (4064332734).

Almost surely, 2136975641504 is an apocalyptic number.

It is an amenable number.

136975641504 is an abundant number, since it is smaller than the sum of its proper divisors (253200300960).

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

136975641504 is a wasteful number, since it uses less digits than its factorization.

136975641504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837990 (or 837982 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 51.

The spelling of 136975641504 in words is "one hundred thirty-six billion, nine hundred seventy-five million, six hundred forty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 131 156 208 262 312 393 416 524 624 786 1048 1248 1572 1703 2096 3144 3406 4192 5109 6288 6812 10218 12576 13624 20436 27248 40872 54496 81744 163488 837833 1675666 2513499 3351332 5026998 6702664 10053996 10891829 13405328 20107992 21783658 26810656 32675487 40215984 43567316 65350974 80431968 87134632 109756123 130701948 174269264 219512246 261403896 329268369 348538528 439024492 522807792 658536738 878048984 1045615584 1317073476 1426829599 1756097968 2634146952 2853659198 3512195936 4280488797 5268293904 5707318396 8560977594 10536587808 11414636792 17121955188 22829273584 34243910376 45658547168 68487820752 136975641504