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6928013102112 = 253832998081
BaseRepresentation
bin110010011010000110111…
…0000101000110000100000
3220112022102010220200000000
41210310031300220300200
51402002032323231422
622422404004300000
71313350423505304
oct144641560506040
926468363820000
106928013102112
112231176868503
1293a8416a1600
133b340267346b
1419d4637b5d04
15c0330967cac
hex64d0dc28c20

6928013102112 has 108 divisors (see below), whose sum is σ = 20458249872606. Its totient is φ = 2309337630720.

The previous prime is 6928013102111. The next prime is 6928013102113. The reversal of 6928013102112 is 2112013108296.

6928013102112 is a `hidden beast` number, since 69 + 280 + 1 + 310 + 2 + 1 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (6928013102111) and next prime (6928013102113).

It can be written as a sum of positive squares in only one way, i.e., 6145064197776 + 782948904336 = 2478924^2 + 884844^2 .

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6928013102111) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16289089 + ... + 16708992.

Almost surely, 26928013102112 is an apocalyptic number.

It is an amenable number.

6928013102112 is an abundant number, since it is smaller than the sum of its proper divisors (13530236770494).

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

6928013102112 is an frugal number, since it uses more digits than its factorization.

6928013102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32998115 (or 32998086 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 6928013102112 in words is "six trillion, nine hundred twenty-eight billion, thirteen million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2187 2592 2916 3888 4374 5832 6561 7776 8748 11664 13122 17496 23328 26244 34992 52488 69984 104976 209952 32998081 65996162 98994243 131992324 197988486 263984648 296982729 395976972 527969296 593965458 791953944 890948187 1055938592 1187930916 1583907888 1781896374 2375861832 2672844561 3167815776 3563792748 4751723664 5345689122 7127585496 8018533683 9503447328 10691378244 14255170992 16037067366 21382756488 24055601049 28510341984 32074134732 42765512976 48111202098 64148269464 72166803147 85531025952 96222404196 128296538928 144333606294 192444808392 216500409441 256593077856 288667212588 384889616784 433000818882 577334425176 769779233568 866001637764 1154668850352 1732003275528 2309337700704 3464006551056 6928013102112