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151255664 = 2471724673
BaseRepresentation
bin10010000001111…
…11101001110000
3101112121120202122
421000333221300
5302210140124
623001533412
73514436420
oct1100775160
9345546678
10151255664
117841a68a
12427a4268
132544b5c1
1416134480
15d42b75e
hex903fa70

151255664 has 60 divisors (see below), whose sum is σ = 355859664. Its totient is φ = 60997632.

The previous prime is 151255627. The next prime is 151255717. The reversal of 151255664 is 466552151.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30032 + ... + 34704.

Almost surely, 2151255664 is an apocalyptic number.

151255664 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 151255664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177929832).

151255664 is an abundant number, since it is smaller than the sum of its proper divisors (204604000).

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

151255664 is a wasteful number, since it uses less digits than its factorization.

151255664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4722 (or 4699 counting only the distinct ones).

The product of its digits is 36000, while the sum is 35.

The square root of 151255664 is about 12298.6041484390. The cubic root of 151255664 is about 532.8077690673.

The spelling of 151255664 in words is "one hundred fifty-one million, two hundred fifty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 289 476 578 952 1156 1904 2023 2312 4046 4624 4673 8092 9346 16184 18692 32368 32711 37384 65422 74768 79441 130844 158882 261688 317764 523376 556087 635528 1112174 1271056 1350497 2224348 2700994 4448696 5401988 8897392 9453479 10803976 18906958 21607952 37813916 75627832 151255664