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1533645216 = 25325325157
BaseRepresentation
bin101101101101001…
…1001000110100000
310221212211020201200
41123122121012200
511120103121331
6412103201200
753001524565
oct13332310640
93855736650
101533645216
11717780394
12369746200
131b597249c
1410798086c
158e9935e6
hex5b6991a0

1533645216 has 36 divisors (see below), whose sum is σ = 4361304402. Its totient is φ = 511214976.

The previous prime is 1533645149. The next prime is 1533645257. The reversal of 1533645216 is 6125463351.

1533645216 is a `hidden beast` number, since 1 + 5 + 3 + 3 + 645 + 2 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1505129616 + 28515600 = 38796^2 + 5340^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2662291 + ... + 2662866.

Almost surely, 21533645216 is an apocalyptic number.

1533645216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1533645216 is an abundant number, since it is smaller than the sum of its proper divisors (2827659186).

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

1533645216 is a wasteful number, since it uses less digits than its factorization.

1533645216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5325173 (or 5325162 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 1533645216 is about 39161.7825947696. The cubic root of 1533645216 is about 1153.2097390213.

The spelling of 1533645216 in words is "one billion, five hundred thirty-three million, six hundred forty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 5325157 10650314 15975471 21300628 31950942 42601256 47926413 63901884 85202512 95852826 127803768 170405024 191705652 255607536 383411304 511215072 766822608 1533645216