Search a number
-
+
150760454432 = 2572829115981
BaseRepresentation
bin1000110001101000000…
…1011111100100100000
3112102010202101121020112
42030122001133210200
54432224134020212
6153131451430452
713614661501400
oct2143201374440
9472122347215
10150760454432
1158a34389895
1225275455428
13112a7c975b3
147422784800
153dc5744422
hex231a05f920

150760454432 has 72 divisors (see below), whose sum is σ = 345687830460. Its totient is φ = 64533127680.

The previous prime is 150760454431. The next prime is 150760454447. The reversal of 150760454432 is 234454067051.

It can be written as a sum of positive squares in 2 ways, for example, as 150758252176 + 2202256 = 388276^2 + 1484^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 150760454432.

It is not an unprimeable number, because it can be changed into a prime (150760454431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1241882 + ... + 1357862.

Almost surely, 2150760454432 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 150760454432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172843915230).

150760454432 is an abundant number, since it is smaller than the sum of its proper divisors (194927376028).

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

150760454432 is a wasteful number, since it uses less digits than its factorization.

150760454432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116834 (or 116819 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 41.

The spelling of 150760454432 in words is "one hundred fifty billion, seven hundred sixty million, four hundred fifty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 829 1568 1658 3316 5803 6632 11606 13264 23212 26528 40621 46424 81242 92848 115981 162484 185696 231962 324968 463924 649936 811867 927848 1299872 1623734 1855696 3247468 3711392 5683069 6494936 11366138 12989872 22732276 25979744 45464552 90929104 96148249 181858208 192296498 384592996 673037743 769185992 1346075486 1538371984 2692150972 3076743968 4711264201 5384301944 9422528402 10768603888 18845056804 21537207776 37690113608 75380227216 150760454432