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1932688085130 = 23551172304081
BaseRepresentation
bin11100000111111101001…
…011111101000010001010
320211202121100121021200000
4130013331023331002022
5223131121122211010
64035510433023430
7256426545445215
oct34077513750212
96752540537600
101932688085130
11685715047980
122726993b4b76
13110336cc114a
1469784c8877c
153541889b7c0
hex1c1fd2fd08a

1932688085130 has 96 divisors (see below), whose sum is σ = 5684836143168. Its totient is φ = 468530438400.

The previous prime is 1932688085129. The next prime is 1932688085189. The reversal of 1932688085130 is 315808862391.

1932688085130 is a `hidden beast` number, since 19 + 32 + 6 + 8 + 80 + 8 + 513 + 0 = 666.

It is a super-2 number, since 2×19326880851302 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36125311 + ... + 36178770.

It is an arithmetic number, because the mean of its divisors is an integer number (59217043158).

Almost surely, 21932688085130 is an apocalyptic number.

1932688085130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1932688085130 is an abundant number, since it is smaller than the sum of its proper divisors (3752148058038).

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

1932688085130 is a wasteful number, since it uses less digits than its factorization.

1932688085130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72304114 (or 72304102 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 1932688085130 in words is "one trillion, nine hundred thirty-two billion, six hundred eighty-eight million, eighty-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 243 270 297 330 405 486 495 594 810 891 990 1215 1485 1782 2430 2673 2970 4455 5346 8910 13365 26730 72304081 144608162 216912243 361520405 433824486 650736729 723040810 795344891 1084561215 1301473458 1590689782 1952210187 2169122430 2386034673 3253683645 3904420374 3976724455 4772069346 5856630561 6507367290 7158104019 7953448910 9761050935 11713261122 11930173365 14316208038 17569891683 19522101870 21474312057 23860346730 29283152805 35139783366 35790520095 42948624114 58566305610 64422936171 71581040190 87849458415 107371560285 128845872342 175698916830 193268808513 214743120570 322114680855 386537617026 644229361710 966344042565 1932688085130