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145415664 = 24321953149
BaseRepresentation
bin10001010101011…
…01110111110000
3101010121212210100
420222231313300
5244211300124
622232432400
73414004242
oct1052556760
9333555710
10145415664
11750a0a39
1240848700
1324185394
1415454092
15cb761c9
hex8aaddf0

145415664 has 60 divisors (see below), whose sum is σ = 428389000. Its totient is φ = 45919872.

The previous prime is 145415663. The next prime is 145415681. The reversal of 145415664 is 466514541.

145415664 is a `hidden beast` number, since 1 + 4 + 541 + 56 + 64 = 666.

It is a super-2 number, since 2×1454156642 = 42291430673121792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145415663) 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, 23839 + ... + 29310.

Almost surely, 2145415664 is an apocalyptic number.

It is an amenable number.

145415664 is an abundant number, since it is smaller than the sum of its proper divisors (282973336).

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

145415664 is a wasteful number, since it uses less digits than its factorization.

145415664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53182 (or 53173 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 145415664 is about 12058.8417354238. The cubic root of 145415664 is about 525.8603146072.

The spelling of 145415664 in words is "one hundred forty-five million, four hundred fifteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 53149 106298 159447 212596 318894 425192 478341 637788 850384 956682 1009831 1275576 1913364 2019662 2551152 3029493 3826728 4039324 6058986 7653456 8078648 9088479 12117972 16157296 18176958 24235944 36353916 48471888 72707832 145415664