Search a number
-
+
104070437680 = 24511118261861
BaseRepresentation
bin110000011101100010…
…1001101101100110000
3100221121211220000000211
41200323011031230300
53201114013001210
6115450450353504
710342651060516
oct1407305155460
9327554800024
10104070437680
114015505a190
1218204b8b894
139a76bc3c51
1450738ac4b6
152a9177538a
hex183b14db30

104070437680 has 40 divisors (see below), whose sum is σ = 263960475984. Its totient is φ = 37843795200.

The previous prime is 104070437663. The next prime is 104070437693. The reversal of 104070437680 is 86734070401.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×1040704376803 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59130051 + ... + 59131810.

Almost surely, 2104070437680 is an apocalyptic number.

104070437680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104070437680 is an abundant number, since it is smaller than the sum of its proper divisors (159890038304).

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

104070437680 is a wasteful number, since it uses less digits than its factorization.

104070437680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118261885 (or 118261879 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The spelling of 104070437680 in words is "one hundred four billion, seventy million, four hundred thirty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 118261861 236523722 473047444 591309305 946094888 1182618610 1300880471 1892189776 2365237220 2601760942 4730474440 5203521884 6504402355 9460948880 10407043768 13008804710 20814087536 26017609420 52035218840 104070437680