Search a number
-
+
18916506960972 = 2235719433292667
BaseRepresentation
bin1000100110100010101111…
…01011011000010001001100
32110222101210220011020102220
410103101113223120101030
54434412001240222342
6104122042350015340
73661446451112655
oct423212753302114
973871726136386
1018916506960972
11603349a033155
12215618baa7550
13a72a853132ba
144957c71b052c
1522c0dd66b5ec
hex113457ad844c

18916506960972 has 48 divisors (see below), whose sum is σ = 44220655070592. Its totient is φ = 6293770623360.

The previous prime is 18916506960971. The next prime is 18916506960991. The reversal of 18916506960972 is 27906960561981.

It is a super-2 number, since 2×189165069609722 (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (69) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 18916506960897 and 18916506960906.

It is not an unprimeable number, because it can be changed into a prime (18916506960971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64488583 + ... + 64781249.

It is an arithmetic number, because the mean of its divisors is an integer number (921263647304).

Almost surely, 218916506960972 is an apocalyptic number.

18916506960972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

18916506960972 is an abundant number, since it is smaller than the sum of its proper divisors (25304148109620).

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

18916506960972 is a wasteful number, since it uses less digits than its factorization.

18916506960972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302678 (or 302676 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 69.

The spelling of 18916506960972 in words is "eighteen trillion, nine hundred sixteen billion, five hundred six million, nine hundred sixty thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 571 1142 1713 2284 3426 6852 9433 18866 28299 37732 56598 113196 292667 585334 878001 1170668 1756002 3512004 5386243 10772486 16158729 21544972 32317458 64634916 167112857 334225714 501338571 668451428 1002677142 2005354284 2760727811 5521455622 8282183433 11042911244 16564366866 33128733732 1576375580081 3152751160162 4729126740243 6305502320324 9458253480486 18916506960972