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101992118688 = 2532354139301
BaseRepresentation
bin101111011111100110…
…1000011100110100000
3100202021000011110100100
41132333031003212200
53132334440244223
6114504325022400
710240313463465
oct1367715034640
9322230143310
10101992118688
113a28898a389
1217924b54a00
1398054576b5
144d1786766c
1529be092043
hex17bf3439a0

101992118688 has 36 divisors (see below), whose sum is σ = 290040088338. Its totient is φ = 33997372800.

The previous prime is 101992118671. The next prime is 101992118707. The reversal of 101992118688 is 886811299101.

It can be written as a sum of positive squares in only one way, i.e., 87646786704 + 14345331984 = 296052^2 + 119772^2 .

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

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, 177069363 + ... + 177069938.

Almost surely, 2101992118688 is an apocalyptic number.

101992118688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

101992118688 is an abundant number, since it is smaller than the sum of its proper divisors (188047969650).

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

101992118688 is a wasteful number, since it uses less digits than its factorization.

101992118688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354139317 (or 354139306 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 54.

The spelling of 101992118688 in words is "one hundred one billion, nine hundred ninety-two million, one hundred eighteen thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 354139301 708278602 1062417903 1416557204 2124835806 2833114408 3187253709 4249671612 5666228816 6374507418 8499343224 11332457632 12749014836 16998686448 25498029672 33997372896 50996059344 101992118688