Search a number
-
+
72678421817064 = 2333748067739297
BaseRepresentation
bin10000100001100111000011…
…100000111110011011101000
3100112022222201011210202021000
4100201213003200332123220
534011230401441121224
6414324001150315000
721210562021315230
oct2041470340763350
9315288634722230
1072678421817064
1121180822436368
1281996944b8a60
133172713095b0b
1413d39238bccc0
158607ec4c00c9
hex4219c383e6e8

72678421817064 has 64 divisors (see below), whose sum is σ = 230725148630400. Its totient is φ = 20765263375872.

The previous prime is 72678421817063. The next prime is 72678421817077. The reversal of 72678421817064 is 46071812487627.

72678421817064 is a `hidden beast` number, since 7 + 2 + 6 + 7 + 8 + 421 + 81 + 70 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 72678421816992 and 72678421817010.

It is not an unprimeable number, because it can be changed into a prime (72678421817063) 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, 24033868137 + ... + 24033871160.

It is an arithmetic number, because the mean of its divisors is an integer number (3605080447350).

Almost surely, 272678421817064 is an apocalyptic number.

It is an amenable number.

72678421817064 is an abundant number, since it is smaller than the sum of its proper divisors (158046726813336).

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

72678421817064 is a wasteful number, since it uses less digits than its factorization.

72678421817064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48067739319 (or 48067739309 counting only the distinct ones).

The product of its (nonzero) digits is 50577408, while the sum is 63.

The spelling of 72678421817064 in words is "seventy-two trillion, six hundred seventy-eight billion, four hundred twenty-one million, eight hundred seventeen thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 48067739297 96135478594 144203217891 192270957188 288406435782 336474175079 384541914376 432609653673 576812871564 672948350158 865219307346 1009422525237 1153625743128 1297828961019 1345896700316 1730438614692 2018845050474 2595657922038 2691793400632 3028267575711 3460877229384 4037690100948 5191315844076 6056535151422 8075380201896 9084802727133 10382631688152 12113070302844 18169605454266 24226140605688 36339210908532 72678421817064