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151465664 = 267248299
BaseRepresentation
bin10010000011100…
…10111011000000
3101120000020211102
421001302323000
5302233400124
623010233532
73516302600
oct1101627300
9346006742
10151465664
1178553439
12428858a8
13254c306c
141618ac00
15d46daae
hex9072ec0

151465664 has 42 divisors (see below), whose sum is σ = 349643700. Its totient is φ = 64912512.

The previous prime is 151465619. The next prime is 151465667. The reversal of 151465664 is 466564151.

It is a happy number.

It is a super-4 number, since 4×1514656644 (a number of 34 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (151465667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21014 + ... + 27285.

It is an arithmetic number, because the mean of its divisors is an integer number (8324850).

Almost surely, 2151465664 is an apocalyptic number.

151465664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

151465664 is an abundant number, since it is smaller than the sum of its proper divisors (198178036).

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

151465664 is an equidigital number, since it uses as much as digits as its factorization.

151465664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48325 (or 48308 counting only the distinct ones).

The product of its digits is 86400, while the sum is 38.

The square root of 151465664 is about 12307.1387413972. The cubic root of 151465664 is about 533.0542345258.

The spelling of 151465664 in words is "one hundred fifty-one million, four hundred sixty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 48299 96598 193196 338093 386392 676186 772784 1352372 1545568 2366651 2704744 3091136 4733302 5409488 9466604 10818976 18933208 21637952 37866416 75732832 151465664