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151042733264 = 24411455715817
BaseRepresentation
bin1000110010101011011…
…0010011010011010000
3112102212102112212000002
42030222312103103100
54433313414431024
6153215453545132
713624660022633
oct2145266232320
9472772485002
10151042733264
115906975a085
1225333aa51a8
13113215cc2a7
14744c063c1a
153de04026ae
hex232ad934d0

151042733264 has 40 divisors (see below), whose sum is σ = 299822534088. Its totient is φ = 73669662720.

The previous prime is 151042733249. The next prime is 151042733269. The reversal of 151042733264 is 462337240151.

It can be written as a sum of positive squares in 4 ways, for example, as 3350094400 + 147692638864 = 57880^2 + 384308^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151042733269) by changing a digit.

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, 9541484 + ... + 9557300.

Almost surely, 2151042733264 is an apocalyptic number.

It is an amenable number.

151042733264 is a deficient number, since it is larger than the sum of its proper divisors (148779800824).

151042733264 is a wasteful number, since it uses less digits than its factorization.

151042733264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30423 (or 30417 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The spelling of 151042733264 in words is "one hundred fifty-one billion, forty-two million, seven hundred thirty-three thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 41 82 164 328 656 14557 15817 29114 31634 58228 63268 116456 126536 232912 253072 596837 648497 1193674 1296994 2387348 2593988 4774696 5187976 9549392 10375952 230248069 460496138 920992276 1841984552 3683969104 9440170829 18880341658 37760683316 75521366632 151042733264