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150565610664 = 23327298741291
BaseRepresentation
bin1000110000111001101…
…0001110010010101000
3112101122011202111211200
42030032122032102220
54431324244020124
6153100251324200
713610104400640
oct2141632162250
9471564674750
10150565610664
11589443a8887
1225220150660
13112767c7221
147404945520
153db35a7bc9
hex230e68e4a8

150565610664 has 48 divisors (see below), whose sum is σ = 466036415520. Its totient is φ = 43018745760.

The previous prime is 150565610653. The next prime is 150565610683. The reversal of 150565610664 is 466016565051.

150565610664 is a `hidden beast` number, since 15 + 0 + 565 + 6 + 10 + 6 + 64 = 666.

It is a super-2 number, since 2×1505656106642 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 149370142 + ... + 149371149.

It is an arithmetic number, because the mean of its divisors is an integer number (9709091990).

Almost surely, 2150565610664 is an apocalyptic number.

150565610664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

150565610664 is an abundant number, since it is smaller than the sum of its proper divisors (315470804856).

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

150565610664 is a wasteful number, since it uses less digits than its factorization.

150565610664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298741310 (or 298741303 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 150565610664 in words is "one hundred fifty billion, five hundred sixty-five million, six hundred ten thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 298741291 597482582 896223873 1194965164 1792447746 2091189037 2389930328 2688671619 3584895492 4182378074 5377343238 6273567111 7169790984 8364756148 10754686476 12547134222 16729512296 18820701333 21509372952 25094268444 37641402666 50188536888 75282805332 150565610664