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1471442645664 = 25325109175853
BaseRepresentation
bin10101011010011000110…
…100001111001010100000
312012200001100221020011100
4111122120310033022200
5143102003304130124
63043545454314400
7211210502056515
oct25323064171240
95180040836140
101471442645664
11518043016402
121b92131b8a00
13a89aabb1ac4
145130aa7530c
152842023b1c9
hex15698d0f2a0

1471442645664 has 36 divisors (see below), whose sum is σ = 4184415024426. Its totient is φ = 490480881792.

The previous prime is 1471442645641. The next prime is 1471442645693. The reversal of 1471442645664 is 4665462441741.

1471442645664 is a `hidden beast` number, since 1 + 4 + 7 + 14 + 4 + 2 + 64 + 566 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1434389475600 + 37053170064 = 1197660^2 + 192492^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 1471442645664.

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, 2554587639 + ... + 2554588214.

Almost surely, 21471442645664 is an apocalyptic number.

It is an amenable number.

1471442645664 is an abundant number, since it is smaller than the sum of its proper divisors (2712972378762).

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

1471442645664 is a wasteful number, since it uses less digits than its factorization.

1471442645664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5109175869 (or 5109175858 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 54.

The spelling of 1471442645664 in words is "one trillion, four hundred seventy-one billion, four hundred forty-two million, six hundred forty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 5109175853 10218351706 15327527559 20436703412 30655055118 40873406824 45982582677 61310110236 81746813648 91965165354 122620220472 163493627296 183930330708 245240440944 367860661416 490480881888 735721322832 1471442645664