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36453240072 = 2332225012
BaseRepresentation
bin100001111100110010…
…000100110100001000
310111002111012110112200
4201330302010310020
51044124012140242
624425115240200
72430226266564
oct417462046410
9114074173480
1036453240072
11145069a3897
127094149060
13358c323552
141a9b51a6a4
15e3544004c
hex87cc84d08

36453240072 has 36 divisors (see below), whose sum is σ = 98731913085. Its totient is φ = 12150540000.

The previous prime is 36453240053. The next prime is 36453240113. The reversal of 36453240072 is 27004235463.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

36453240072 is a `hidden beast` number, since 3 + 645 + 3 + 2 + 4 + 0 + 0 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18712598436 + 17740641636 = 136794^2 + 133194^2 .

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

It is an ABA number since it can be written as A⋅BA, here for A=2, B=135006.

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 8 ways as a sum of consecutive naturals, for example, 1608822 + ... + 1631322.

Almost surely, 236453240072 is an apocalyptic number.

It is an amenable number.

36453240072 is an abundant number, since it is smaller than the sum of its proper divisors (62278673013).

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

36453240072 is an frugal number, since it uses more digits than its factorization.

36453240072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45014 (or 22506 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 36453240072 in words is "thirty-six billion, four hundred fifty-three million, two hundred forty thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 22501 45002 67503 90004 135006 180008 202509 270012 405018 540024 810036 1620072 506295001 1012590002 1518885003 2025180004 3037770006 4050360008 4556655009 6075540012 9113310018 12151080024 18226620036 36453240072