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52116517512 = 23322382937963
BaseRepresentation
bin110000100010011000…
…101111001010001000
311222112002102101211100
4300202120233022020
51323213312030022
635535245501400
73523332042513
oct604230571210
9158462371740
1052116517512
1120114462a84
12a125871860
134bb73c1b57
142745879d7a
1515505c11ac
hexc2262f288

52116517512 has 96 divisors (see below), whose sum is σ = 147467361600. Its totient is φ = 16596379008.

The previous prime is 52116517511. The next prime is 52116517529. The reversal of 52116517512 is 21571561125.

52116517512 is a `hidden beast` number, since 521 + 1 + 6 + 51 + 75 + 12 = 666.

It is a super-2 number, since 2×521165175122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (52116517511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1353843 + ... + 1391805.

It is an arithmetic number, because the mean of its divisors is an integer number (1536118350).

Almost surely, 252116517512 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 52116517512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73733680800).

52116517512 is an abundant number, since it is smaller than the sum of its proper divisors (95350844088).

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

52116517512 is a wasteful number, since it uses less digits than its factorization.

52116517512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38827 (or 38820 counting only the distinct ones).

The product of its digits is 21000, while the sum is 36.

The spelling of 52116517512 in words is "fifty-two billion, one hundred sixteen million, five hundred seventeen thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 829 1656 1658 2487 3316 4974 6632 7461 9948 14922 19067 19896 29844 37963 38134 57201 59688 75926 76268 113889 114402 151852 152536 171603 227778 228804 303704 341667 343206 455556 457608 683334 686412 873149 911112 1366668 1372824 1746298 2619447 2733336 3492596 5238894 6985192 7858341 10477788 15716682 20955576 31433364 31471327 62866728 62942654 94413981 125885308 188827962 251770616 283241943 377655924 566483886 723840521 755311848 1132967772 1447681042 2171521563 2265935544 2895362084 4343043126 5790724168 6514564689 8686086252 13029129378 17372172504 26058258756 52116517512