Search a number
-
+
52830627411456 = 29334079936911
BaseRepresentation
bin11000000001100100101101…
…10001111011011000000000
320221001120002021000120012000
430000302112301323120000
523411034111104131311
6304210015530304000
714061613124424036
oct1400622661733000
9227046067016160
1052830627411456
1115919385978164
125b12b1a288000
132362ba32a138b
14d09031d08556
156193a4b8d056
hex300c96c7b600

52830627411456 has 160 divisors (see below), whose sum is σ = 156420831283200. Its totient is φ = 17605873059840.

The previous prime is 52830627411389. The next prime is 52830627411467. The reversal of 52830627411456 is 65411472603825.

52830627411456 is a `hidden beast` number, since 5 + 2 + 8 + 3 + 0 + 627 + 4 + 1 + 1 + 4 + 5 + 6 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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, 55919641 + ... + 56856551.

It is an arithmetic number, because the mean of its divisors is an integer number (977630195520).

Almost surely, 252830627411456 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 52830627411456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78210415641600).

52830627411456 is an abundant number, since it is smaller than the sum of its proper divisors (103590203871744).

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

52830627411456 is an equidigital number, since it uses as much as digits as its factorization.

52830627411456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941017 (or 940995 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 52830627411456 in words is "fifty-two trillion, eight hundred thirty billion, six hundred twenty-seven million, four hundred eleven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 3456 4079 4608 6912 8158 12237 13824 16316 24474 32632 36711 48948 65264 73422 97896 110133 130528 146844 195792 220266 261056 293688 391584 440532 522112 587376 783168 881064 936911 1044224 1174752 1566336 1762128 1873822 2088448 2349504 2810733 3132672 3524256 3747644 4699008 5621466 6265344 7048512 7495288 8432199 9398016 11242932 14097024 14990576 16864398 18796032 22485864 25296597 28194048 29981152 33728796 44971728 50593194 56388096 59962304 67457592 89943456 101186388 119924608 134915184 179886912 202372776 239849216 269830368 359773824 404745552 479698432 539660736 719547648 809491104 1079321472 1439095296 1618982208 2158642944 3237964416 3821659969 4317285888 6475928832 7643319938 11464979907 12951857664 15286639876 22929959814 30573279752 34394939721 45859919628 61146559504 68789879442 91719839256 103184819163 122293119008 137579758884 183439678512 206369638326 244586238016 275159517768 366879357024 412739276652 489172476032 550319035536 733758714048 825478553304 978344952064 1100638071072 1467517428096 1650957106608 1956689904128 2201276142144 2935034856192 3301914213216 4402552284288 5870069712384 6603828426432 8805104568576 13207656852864 17610209137152 26415313705728 52830627411456