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151163264 = 2771131493
BaseRepresentation
bin10010000001010…
…01000110000000
3101112102220000102
421000221012000
5302144211024
622555541532
73513603140
oct1100510600
9345386012
10151163264
117836721a
124275a8a8
1325418525
141610c920
15d40e1ae
hex9029180

151163264 has 64 divisors (see below), whose sum is σ = 347444640. Its totient is φ = 64167936.

The previous prime is 151163239. The next prime is 151163267. The reversal of 151163264 is 462361151.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151163267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100502 + ... + 101994.

Almost surely, 2151163264 is an apocalyptic number.

151163264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151163264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173722320).

151163264 is an abundant number, since it is smaller than the sum of its proper divisors (196281376).

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

151163264 is a wasteful number, since it uses less digits than its factorization.

151163264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627 (or 1615 counting only the distinct ones).

The product of its digits is 4320, while the sum is 29.

The square root of 151163264 is about 12294.8470506957. The cubic root of 151163264 is about 532.6992519934.

The spelling of 151163264 in words is "one hundred fifty-one million, one hundred sixty-three thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 113 128 224 226 448 452 791 896 904 1493 1582 1808 2986 3164 3616 5972 6328 7232 10451 11944 12656 14464 20902 23888 25312 41804 47776 50624 83608 95552 101248 167216 168709 191104 334432 337418 668864 674836 1180963 1337728 1349672 2361926 2699344 4723852 5398688 9447704 10797376 18895408 21594752 37790816 75581632 151163264