Search a number
-
+
11951290152 = 2337683087
BaseRepresentation
bin10110010000101101…
…00011011100101000
31010211220110110000000
423020112203130220
5143434012241102
65253525343000
7602110201344
oct131026433450
933756413000
1011951290152
1150832121aa
122396567a60
13118603b729
1481537c624
1549e34d01c
hex2c85a3728

11951290152 has 64 divisors (see below), whose sum is σ = 33607929600. Its totient is φ = 3983757552.

The previous prime is 11951290147. The next prime is 11951290163. The reversal of 11951290152 is 25109215911.

11951290152 is a `hidden beast` number, since 1 + 1 + 9 + 512 + 90 + 1 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 324048 + ... + 359039.

It is an arithmetic number, because the mean of its divisors is an integer number (525123900).

Almost surely, 211951290152 is an apocalyptic number.

11951290152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11951290152 is an abundant number, since it is smaller than the sum of its proper divisors (21656639448).

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

11951290152 is an frugal number, since it uses more digits than its factorization.

11951290152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683114 (or 683092 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 36.

The spelling of 11951290152 in words is "eleven billion, nine hundred fifty-one million, two hundred ninety thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2187 2916 4374 5832 8748 17496 683087 1366174 2049261 2732348 4098522 5464696 6147783 8197044 12295566 16394088 18443349 24591132 36886698 49182264 55330047 73773396 110660094 147546792 165990141 221320188 331980282 442640376 497970423 663960564 995940846 1327921128 1493911269 1991881692 2987822538 3983763384 5975645076 11951290152