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1986957444672 = 263223931441529
BaseRepresentation
bin11100111010011111111…
…001001000011001000000
321000221200110222101120100
4130322133321020121000
5230023242101212142
64120443505442400
7263360441420304
oct34723771103100
97027613871510
101986957444672
116a673374aa42
12281104040400
131154a5412a05
146c252607d04
1536a42e71b4c
hex1ce9fe48640

1986957444672 has 84 divisors (see below), whose sum is σ = 5697638675820. Its totient is φ = 662041915392.

The previous prime is 1986957444649. The next prime is 1986957444701. The reversal of 1986957444672 is 2764447596891.

1986957444672 is a `hidden beast` number, since 1 + 9 + 8 + 6 + 9 + 574 + 4 + 46 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22205768256 + 1964751676416 = 149016^2 + 1401696^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 1986957444672.

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, 657604 + ... + 2099132.

It is an arithmetic number, because the mean of its divisors is an integer number (67829031855).

Almost surely, 21986957444672 is an apocalyptic number.

1986957444672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1986957444672 is an abundant number, since it is smaller than the sum of its proper divisors (3710681231148).

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

1986957444672 is a wasteful number, since it uses less digits than its factorization.

1986957444672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1443940 (or 1443927 counting only the distinct ones).

The product of its digits is 731566080, while the sum is 72.

The spelling of 1986957444672 in words is "one trillion, nine hundred eighty-six billion, nine hundred fifty-seven million, four hundred forty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 2393 4786 7179 9572 14358 19144 21537 28716 38288 43074 57432 76576 86148 114864 153152 172296 229728 344592 459456 689184 1378368 1441529 2883058 4324587 5766116 8649174 11532232 12973761 17298348 23064464 25947522 34596696 46128928 51895044 69193392 92257856 103790088 138386784 207580176 276773568 415160352 830320704 3449578897 6899157794 10348736691 13798315588 20697473382 27596631176 31046210073 41394946764 55193262352 62092420146 82789893528 110386524704 124184840292 165579787056 220773049408 248369680584 331159574112 496739361168 662319148224 993478722336 1986957444672