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12088777979664 = 24322897412
BaseRepresentation
bin1010111111101010001101…
…0100010011011100010000
31120210200020201111202011100
42233322203110103130100
53041030304130322124
641413301414144400
72355246121255401
oct257724324233420
946720221452140
1012088777979664
113940905019a31
121432a77352100
13698c752aa7b9
142db1584979a8
1515e6cbd621c9
hexafea3513710

12088777979664 has 45 divisors (see below), whose sum is σ = 33831905139669. Its totient is φ = 4029578752320.

The previous prime is 12088777979633. The next prime is 12088777979689. The reversal of 12088777979664 is 46697977788021.

The square root of 12088777979664 is 3476892.

It is a perfect power (a square), and thus also a powerful number.

12088777979664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 30105026064 + 12058672953600 = 173508^2 + 3472560^2 .

It is a super-2 number, since 2×120887779796642 (a number of 27 digits) contains 22 as substring.

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, 41577834 + ... + 41867574.

Almost surely, 212088777979664 is an apocalyptic number.

12088777979664 is the 3476892-nd square number.

It is an amenable number.

12088777979664 is an abundant number, since it is smaller than the sum of its proper divisors (21743127160005).

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

12088777979664 is an frugal number, since it uses more digits than its factorization.

12088777979664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579496 (or 289746 counting only the distinct ones).

The product of its (nonzero) digits is 3584673792, while the sum is 81.

Multiplying 12088777979664 by its sum of digits (81), we get a square (979191016352784 = 312920282).

The spelling of 12088777979664 in words is "twelve trillion, eighty-eight billion, seven hundred seventy-seven million, nine hundred seventy-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 289741 579482 869223 1158964 1738446 2317928 2607669 3476892 4635856 5215338 6953784 10430676 13907568 20861352 41722704 83949847081 167899694162 251849541243 335799388324 503699082486 671598776648 755548623729 1007398164972 1343197553296 1511097247458 2014796329944 3022194494916 4029592659888 6044388989832 12088777979664