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53252782104 = 23341179463653
BaseRepresentation
bin110001100110000111…
…001111100000011000
312002110021111121211010
4301212013033200120
51333030203011404
640244115533520
73563440115334
oct614607174030
9162407447733
1053252782104
1120647897425
12a3a22ba2a0
13503892c072
1428127387c4
1515ba21c189
hexc661cf818

53252782104 has 128 divisors (see below), whose sum is σ = 137647641600. Its totient is φ = 17157719040.

The previous prime is 53252782103. The next prime is 53252782139. The reversal of 53252782104 is 40128725235.

It is a super-3 number, since 3×532527821043 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53252782103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81550642 + ... + 81551294.

It is an arithmetic number, because the mean of its divisors is an integer number (1075372200).

Almost surely, 253252782104 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 53252782104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68823820800).

53252782104 is an abundant number, since it is smaller than the sum of its proper divisors (84394859496).

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

53252782104 is a wasteful number, since it uses less digits than its factorization.

53252782104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The spelling of 53252782104 in words is "fifty-three billion, two hundred fifty-two million, seven hundred eighty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 179 246 328 358 463 492 537 653 716 926 984 1074 1306 1389 1432 1852 1959 2148 2612 2778 3704 3918 4296 5224 5556 7339 7836 11112 14678 15672 18983 22017 26773 29356 37966 44034 53546 56949 58712 75932 80319 82877 88068 107092 113898 116887 151864 160638 165754 176136 214184 227796 233774 248631 302339 321276 331508 350661 455592 467548 497262 604678 642552 663016 701322 907017 935096 994524 1209356 1402644 1814034 1989048 2418712 2805288 3397957 3628068 4792367 6795914 7256136 9584734 10193871 12395899 13591828 14377101 19169468 20387742 24791798 27183656 28754202 37187697 38338936 40775484 49583596 54118681 57508404 74375394 81550968 99167192 108237362 115016808 148750788 162356043 216474724 297501576 324712086 432949448 649424172 1298848344 2218865921 4437731842 6656597763 8875463684 13313195526 17750927368 26626391052 53252782104