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129936312864 = 2533409136761
BaseRepresentation
bin111100100000011001…
…1101100101000100000
3110102101111002121022000
41321000303230220200
54112102144002424
6135405242044000
712246641302401
oct1710063545040
9412344077260
10129936312864
1150118730036
12212234a9600
13c339936537
146408c4b9a8
1535a74833c9
hex1e40ceca20

129936312864 has 96 divisors (see below), whose sum is σ = 379083862080. Its totient is φ = 43300339200.

The previous prime is 129936312841. The next prime is 129936312889. The reversal of 129936312864 is 468213639921.

129936312864 is a `hidden beast` number, since 1 + 299 + 36 + 312 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 129936312864.

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, 3516244 + ... + 3553004.

It is an arithmetic number, because the mean of its divisors is an integer number (3948790230).

Almost surely, 2129936312864 is an apocalyptic number.

It is an amenable number.

129936312864 is an abundant number, since it is smaller than the sum of its proper divisors (249147549216).

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

129936312864 is a wasteful number, since it uses less digits than its factorization.

129936312864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40871 (or 40857 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The spelling of 129936312864 in words is "one hundred twenty-nine billion, nine hundred thirty-six million, three hundred twelve thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 4091 8182 12273 16364 24546 32728 36761 36819 49092 65456 73522 73638 98184 110283 110457 130912 147044 147276 196368 220566 220914 294088 294552 330849 392736 441132 441828 588176 589104 661698 882264 883656 992547 1176352 1178208 1323396 1764528 1767312 1985094 2646792 3529056 3534624 3970188 5293584 7940376 10587168 15880752 31761504 150389251 300778502 451167753 601557004 902335506 1203114008 1353503259 1804671012 2406228016 2707006518 3609342024 4060509777 4812456032 5414013036 7218684048 8121019554 10828026072 14437368096 16242039108 21656052144 32484078216 43312104288 64968156432 129936312864