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45533413152 = 2532158102129
BaseRepresentation
bin101010011010000000…
…001011111100100000
311100112022011001100100
4222122000023330200
51221223023210102
632530123022400
73201234424443
oct523200137440
9140468131310
1045533413152
1118346474267
1289a906aa00
1343a8594926
1422bd44165a
1512b76a6a1c
hexa9a00bf20

45533413152 has 36 divisors (see below), whose sum is σ = 129485644470. Its totient is φ = 15177804288.

The previous prime is 45533413111. The next prime is 45533413153. The reversal of 45533413152 is 25131433554.

45533413152 is a `hidden beast` number, since 4 + 5 + 5 + 334 + 1 + 315 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 43033013136 + 2500400016 = 207444^2 + 50004^2 .

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 not an unprimeable number, because it can be changed into a prime (45533413153) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 79050777 + ... + 79051352.

Almost surely, 245533413152 is an apocalyptic number.

It is an amenable number.

45533413152 is an abundant number, since it is smaller than the sum of its proper divisors (83952231318).

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

45533413152 is a wasteful number, since it uses less digits than its factorization.

45533413152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158102145 (or 158102134 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The spelling of 45533413152 in words is "forty-five billion, five hundred thirty-three million, four hundred thirteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 158102129 316204258 474306387 632408516 948612774 1264817032 1422919161 1897225548 2529634064 2845838322 3794451096 5059268128 5691676644 7588902192 11383353288 15177804384 22766706576 45533413152