Search a number
-
+
151392231328 = 25131313079049
BaseRepresentation
bin1000110011111110101…
…1100001111110100000
3112110202210012012012211
42030333223201332200
54440022402400303
6153314300531504
713636432506502
oct2147753417640
9473683165184
10151392231328
1159228a71158
1225410b50b94
1311378b3ab90
14748263dd72
153e10e3c66d
hex233fae1fa0

151392231328 has 96 divisors (see below), whose sum is σ = 324520257600. Its totient is φ = 69106452480.

The previous prime is 151392231317. The next prime is 151392231329. The reversal of 151392231328 is 823132293151.

It is not an unprimeable number, because it can be changed into a prime (151392231329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16725748 + ... + 16734796.

It is an arithmetic number, because the mean of its divisors is an integer number (3380419350).

Almost surely, 2151392231328 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 151392231328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162260128800).

151392231328 is an abundant number, since it is smaller than the sum of its proper divisors (173128026272).

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

151392231328 is a wasteful number, since it uses less digits than its factorization.

151392231328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9510 (or 9502 counting only the distinct ones).

The product of its digits is 77760, while the sum is 40.

The spelling of 151392231328 in words is "one hundred fifty-one billion, three hundred ninety-two million, two hundred thirty-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 131 208 262 307 416 524 614 1048 1228 1703 2096 2456 3406 3991 4192 4912 6812 7982 9049 9824 13624 15964 18098 27248 31928 36196 40217 54496 63856 72392 80434 117637 127712 144784 160868 235274 289568 321736 470548 522821 643472 941096 1045642 1185419 1286944 1882192 2091284 2370838 2778043 3764384 4182568 4741676 5556086 8365136 9483352 11112172 15410447 16730272 18966704 22224344 30820894 36114559 37933408 44448688 61641788 72229118 88897376 123283576 144458236 246567152 288916472 363923633 493134304 577832944 727847266 1155665888 1455694532 2911389064 4731007229 5822778128 9462014458 11645556256 18924028916 37848057832 75696115664 151392231328