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16106112640 = 27559735843
BaseRepresentation
bin11101111111111111…
…11100011010000000
31112120110111021222101
432333333330122000
5230441131101030
611222105520144
71110060461422
oct167777743200
945513437871
1016106112640
1169155318a2
123155aa3054
131698a5a087
14acb0b4812
15643ea67ca
hex3bfffc680

16106112640 has 128 divisors (see below), whose sum is σ = 39699460800. Its totient is φ = 6245425152.

The previous prime is 16106112611. The next prime is 16106112653. The reversal of 16106112640 is 4621160161.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 16106112599 and 16106112608.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2753559 + ... + 2759401.

Almost surely, 216106112640 is an apocalyptic number.

16106112640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16106112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19849730400).

16106112640 is an abundant number, since it is smaller than the sum of its proper divisors (23593348160).

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

16106112640 is an equidigital number, since it uses as much as digits as its factorization.

16106112640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5994 (or 5982 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The spelling of 16106112640 in words is "sixteen billion, one hundred six million, one hundred twelve thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 64 73 80 118 128 146 160 236 292 295 320 365 472 584 590 640 730 944 1168 1180 1460 1888 2336 2360 2920 3776 4307 4672 4720 5840 5843 7552 8614 9344 9440 11680 11686 17228 18880 21535 23360 23372 29215 34456 37760 43070 46720 46744 58430 68912 86140 93488 116860 137824 172280 186976 233720 275648 344560 344737 373952 426539 467440 551296 689120 689474 747904 853078 934880 1378240 1378948 1706156 1723685 1869760 2132695 2756480 2757896 3412312 3447370 3739520 4265390 5515792 6824624 6894740 8530780 11031584 13649248 13789480 17061560 22063168 25165801 27298496 27578960 34123120 44126336 50331602 54596992 55157920 68246240 100663204 110315840 125829005 136492480 201326408 220631680 251658010 272984960 402652816 503316020 805305632 1006632040 1610611264 2013264080 3221222528 4026528160 8053056320 16106112640