Search a number
-
+
116464646640 = 2435827358657
BaseRepresentation
bin110110001110111010…
…1010111100111110000
3102010121121210001102010
41230131311113213300
53402004422143030
6125300401322520
711262050106516
oct1543565274760
9363547701363
10116464646640
1145435290891
121a6a3936440
13aca09201c4
1458cb9c44b6
1530699136b0
hex1b1dd579f0

116464646640 has 80 divisors (see below), whose sum is σ = 361090201248. Its totient is φ = 31052955648.

The previous prime is 116464646633. The next prime is 116464646651. The reversal of 116464646640 is 46646464611.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 116464646640.

It is a congruent number.

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, 1956192 + ... + 2014848.

Almost surely, 2116464646640 is an apocalyptic number.

116464646640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116464646640 is an abundant number, since it is smaller than the sum of its proper divisors (244625554608).

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

116464646640 is a wasteful number, since it uses less digits than its factorization.

116464646640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66946 (or 66940 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 48.

The spelling of 116464646640 in words is "one hundred sixteen billion, four hundred sixty-four million, six hundred forty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 8273 16546 24819 33092 41365 49638 58657 66184 82730 99276 117314 124095 132368 165460 175971 198552 234628 248190 293285 330920 351942 397104 469256 496380 586570 661840 703884 879855 938512 992760 1173140 1407768 1759710 1985520 2346280 2815536 3519420 4692560 7038840 14077680 485269361 970538722 1455808083 1941077444 2426346805 2911616166 3882154888 4852693610 5823232332 7279040415 7764309776 9705387220 11646464664 14558080830 19410774440 23292929328 29116161660 38821548880 58232323320 116464646640