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53121433482 = 23213432122777
BaseRepresentation
bin110001011110010010…
…001011111110001010
312002010010100102101100
4301132102023332022
51332243041332412
640223104402230
73560253506625
oct613622137612
9162103312340
1053121433482
112058a734247
12a366316376
1350176607a0
1427dd106dbc
1515ad923edc
hexc5e48bf8a

53121433482 has 72 divisors (see below), whose sum is σ = 126900639684. Its totient is φ = 15964808832.

The previous prime is 53121433481. The next prime is 53121433507. The reversal of 53121433482 is 28433412135.

53121433482 is a `hidden beast` number, since 5 + 31 + 2 + 143 + 3 + 482 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 39005855001 + 14115578481 = 197499^2 + 118809^2 .

It is not an unprimeable number, because it can be changed into a prime (53121433481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 371278 + ... + 494054.

Almost surely, 253121433482 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53121433482, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63450319842).

53121433482 is an abundant number, since it is smaller than the sum of its proper divisors (73779206202).

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

53121433482 is a wasteful number, since it uses less digits than its factorization.

53121433482 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122884 (or 122838 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The spelling of 53121433482 in words is "fifty-three billion, one hundred twenty-one million, four hundred thirty-three thousand, four hundred eighty-two".

Divisors: 1 2 3 6 9 13 18 26 39 43 78 86 117 129 234 258 387 559 774 1118 1677 1849 3354 3698 5031 5547 10062 11094 16641 24037 33282 48074 72111 122777 144222 216333 245554 368331 432666 736662 1104993 1596101 2209986 3192202 4788303 5279411 9576606 10558822 14364909 15838233 28729818 31676466 47514699 68632343 95029398 137264686 205897029 227014673 411794058 454029346 617691087 681044019 1235382174 1362088038 2043132057 2951190749 4086264114 5902381498 8853572247 17707144494 26560716741 53121433482