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52116711552 = 2736558521
BaseRepresentation
bin110000100010011001…
…011110100010000000
311222112002210021000000
4300202121132202000
51323213334232202
635535254000000
73523333511313
oct604231364200
9158462707000
1052116711552
1120114585844
12a125946000
134bb745c279
1427458ca97a
15155060d91c
hexc2265e880

52116711552 has 112 divisors (see below), whose sum is σ = 155668459230. Its totient is φ = 17372206080.

The previous prime is 52116711503. The next prime is 52116711553. The reversal of 52116711552 is 25511761125.

52116711552 is a `hidden beast` number, since 5 + 21 + 16 + 71 + 1 + 552 = 666.

It can be written as a sum of positive squares in only one way, i.e., 51340309056 + 776402496 = 226584^2 + 27864^2 .

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 (52116711553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 185949 + ... + 372572.

Almost surely, 252116711552 is an apocalyptic number.

It is an amenable number.

52116711552 is an abundant number, since it is smaller than the sum of its proper divisors (103551747678).

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

52116711552 is an frugal number, since it uses more digits than its factorization.

52116711552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558553 (or 558526 counting only the distinct ones).

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

The spelling of 52116711552 in words is "fifty-two billion, one hundred sixteen million, seven hundred eleven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 729 864 972 1152 1296 1458 1728 1944 2592 2916 3456 3888 5184 5832 7776 10368 11664 15552 23328 31104 46656 93312 558521 1117042 1675563 2234084 3351126 4468168 5026689 6702252 8936336 10053378 13404504 15080067 17872672 20106756 26809008 30160134 35745344 40213512 45240201 53618016 60320268 71490688 80427024 90480402 107236032 120640536 135720603 160854048 180960804 214472064 241281072 271441206 321708096 361921608 407161809 482562144 542882412 643416192 723843216 814323618 965124288 1085764824 1447686432 1628647236 1930248576 2171529648 2895372864 3257294472 4343059296 5790745728 6514588944 8686118592 13029177888 17372237184 26058355776 52116711552