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1890909228672 = 2733547138087
BaseRepresentation
bin11011100001000010111…
…110010000111010000000
320200202202201022110212000
4123201002332100322000
5221440040230304142
64004401031104000
7253420331151042
oct33410276207200
96622681273760
101890909228672
11669a25a66732
12266579812000
131094095425c9
1467740349a92
15342c0b3614c
hex1b842f90e80

1890909228672 has 64 divisors (see below), whose sum is σ = 5580808497600. Its totient is φ = 630303075072.

The previous prime is 1890909228661. The next prime is 1890909228709. The reversal of 1890909228672 is 2768229090981.

It is a happy number.

1890909228672 is a `hidden beast` number, since 189 + 0 + 90 + 92 + 286 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×18909092286722 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 273565588 + ... + 273572499.

It is an arithmetic number, because the mean of its divisors is an integer number (87200132775).

Almost surely, 21890909228672 is an apocalyptic number.

1890909228672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1890909228672 is an abundant number, since it is smaller than the sum of its proper divisors (3689899268928).

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

1890909228672 is an equidigital number, since it uses as much as digits as its factorization.

1890909228672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547138110 (or 547138092 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 1890909228672 in words is "one trillion, eight hundred ninety billion, nine hundred nine million, two hundred twenty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 547138087 1094276174 1641414261 2188552348 3282828522 4377104696 4924242783 6565657044 8754209392 9848485566 13131314088 14772728349 17508418784 19696971132 26262628176 29545456698 35016837568 39393942264 52525256352 59090913396 70033675136 78787884528 105050512704 118181826792 157575769056 210101025408 236363653584 315151538112 472727307168 630303076224 945454614336 1890909228672