Search a number
-
+
72478382736 = 2432376186269
BaseRepresentation
bin100001110000000001…
…1000101101010010000
320221002010212022211210
41003200003011222100
52141413431221421
653143543140120
75144040042204
oct1034003055220
9227063768753
1072478382736
1128813180771
1212068a44640
136ab0a48506
143717c3ab04
151d42ebb576
hex10e00c5a90

72478382736 has 80 divisors (see below), whose sum is σ = 195635514240. Its totient is φ = 23078415360.

The previous prime is 72478382693. The next prime is 72478382761. The reversal of 72478382736 is 63728387427.

It is a super-2 number, since 2×724783827362 (a number of 23 digits) contains 22 as substring.

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, 797010 + ... + 883278.

It is an arithmetic number, because the mean of its divisors is an integer number (2445443928).

Almost surely, 272478382736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72478382736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97817757120).

72478382736 is an abundant number, since it is smaller than the sum of its proper divisors (123157131504).

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

72478382736 is a wasteful number, since it uses less digits than its factorization.

72478382736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87064 (or 87058 counting only the distinct ones).

The product of its digits is 18966528, while the sum is 57.

The spelling of 72478382736 in words is "seventy-two billion, four hundred seventy-eight million, three hundred eighty-two thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 761 1104 1522 2283 3044 4566 6088 9132 12176 17503 18264 35006 36528 52509 70012 86269 105018 140024 172538 210036 258807 280048 345076 420072 517614 690152 840144 1035228 1380304 1984187 2070456 3968374 4140912 5952561 7936748 11905122 15873496 23810244 31746992 47620488 65650709 95240976 131301418 196952127 262602836 393904254 525205672 787808508 1050411344 1509966307 1575617016 3019932614 3151234032 4529898921 6039865228 9059797842 12079730456 18119595684 24159460912 36239191368 72478382736