Search a number
-
+
136451799721368 = 23326430129473319
BaseRepresentation
bin11111000001101000101001…
…000011010010010110011000
3122220010122221112102200212200
4133001220221003102112120
5120341111241212040433
61202113031425010200
740512213541403535
oct3701505103222630
9586118845380780
10136451799721368
113a52897971935a
1213379333783960
135b1a470b16301
14259a4338c3d8c
1510b96577c0613
hex7c1a290d2598

136451799721368 has 48 divisors (see below), whose sum is σ = 369562717414800. Its totient is φ = 45483224337600.

The previous prime is 136451799721351. The next prime is 136451799721511. The reversal of 136451799721368 is 863127997154631.

136451799721368 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 5 + 179 + 97 + 2 + 1 + 368 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 136451799721296 and 136451799721305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10106988 + ... + 19366331.

It is an arithmetic number, because the mean of its divisors is an integer number (7699223279475).

Almost surely, 2136451799721368 is an apocalyptic number.

136451799721368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

136451799721368 is an abundant number, since it is smaller than the sum of its proper divisors (233110917693432).

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

136451799721368 is a wasteful number, since it uses less digits than its factorization.

136451799721368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29537632 (or 29537625 counting only the distinct ones).

The product of its digits is 411505920, while the sum is 72.

The spelling of 136451799721368 in words is "one hundred thirty-six trillion, four hundred fifty-one billion, seven hundred ninety-nine million, seven hundred twenty-one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 64301 128602 192903 257204 385806 514408 578709 771612 1157418 1543224 2314836 4629672 29473319 58946638 88419957 117893276 176839914 235786552 265259871 353679828 530519742 707359656 1061039484 2122078968 1895163885019 3790327770038 5685491655057 7580655540076 11370983310114 15161311080152 17056474965171 22741966620228 34112949930342 45483933240456 68225899860684 136451799721368