Search a number
-
+
72347070336 = 273199915991
BaseRepresentation
bin100001101100000111…
…0001010111110000000
320220201222202222002120
41003120032022332000
52141131322222321
653122532444240
75140553644212
oct1033016127600
9226658688076
1072347070336
1128756042822
1212030a79680
136a8c790578
1437046185b2
151d366cdec6
hex10d838af80

72347070336 has 64 divisors (see below), whose sum is σ = 202286236800. Its totient is φ = 22846440960.

The previous prime is 72347070311. The next prime is 72347070337. The reversal of 72347070336 is 63307074327.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72347070337) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4950700 + ... + 4965291.

It is an arithmetic number, because the mean of its divisors is an integer number (3160722450).

Almost surely, 272347070336 is an apocalyptic number.

72347070336 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

72347070336 is an abundant number, since it is smaller than the sum of its proper divisors (129939166464).

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

72347070336 is a wasteful number, since it uses less digits than its factorization.

72347070336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9916027 (or 9916015 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 42.

The spelling of 72347070336 in words is "seventy-two billion, three hundred forty-seven million, seventy thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 3648 7296 9915991 19831982 29747973 39663964 59495946 79327928 118991892 158655856 188403829 237983784 317311712 376807658 475967568 565211487 634623424 753615316 951935136 1130422974 1269246848 1507230632 1903870272 2260845948 3014461264 3807740544 4521691896 6028922528 9043383792 12057845056 18086767584 24115690112 36173535168 72347070336