Search a number
-
+
72420374512536 = 2333511889396643
BaseRepresentation
bin10000011101110110101110…
…101100101000001110011000
3100111102022122102021110121220
4100131312232230220032120
533443013411333400121
6414005243305132040
721153125251365231
oct2035665654501630
9314368572243556
1072420374512536
1121091343465116
128157678a8a020
13315429aa4058b
1413c524440c088
15858c47e646c6
hex41ddaeb28398

72420374512536 has 64 divisors (see below), whose sum is σ = 181124741809920. Its totient is φ = 24130285845120.

The previous prime is 72420374512529. The next prime is 72420374512553. The reversal of 72420374512536 is 63521547302427.

It is a super-3 number, since 3×724203745125363 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 749311431 + ... + 749408073.

It is an arithmetic number, because the mean of its divisors is an integer number (2830074090780).

Almost surely, 272420374512536 is an apocalyptic number.

It is an amenable number.

72420374512536 is an abundant number, since it is smaller than the sum of its proper divisors (108704367297384).

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

72420374512536 is a wasteful number, since it uses less digits than its factorization.

72420374512536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109056 (or 109052 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 51.

The spelling of 72420374512536 in words is "seventy-two trillion, four hundred twenty billion, three hundred seventy-four million, five hundred twelve thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 3511 7022 8893 10533 14044 17786 21066 26679 28088 35572 42132 53358 71144 84264 96643 106716 193286 213432 289929 386572 579858 773144 1159716 2319432 31223323 62446646 93669969 124893292 187339938 249786584 339313573 374679876 678627146 749359752 859446199 1017940719 1357254292 1718892398 2035881438 2578338597 2714508584 3437784796 4071762876 5156677194 6875569592 8143525752 10313354388 20626708776 3017515604689 6035031209378 9052546814067 12070062418756 18105093628134 24140124837512 36210187256268 72420374512536