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53017873216 = 2671183912823
BaseRepresentation
bin110001011000000111…
…001000101101000000
312001211220111000101221
4301120013020231000
51332040033420331
640204525004424
73554555325640
oct613007105500
9161756430357
1053017873216
1120537230950
12a3376b3714
134ccc071619
1427cd46a520
1515a47b9711
hexc581c8b40

53017873216 has 112 divisors (see below), whose sum is σ = 131334174720. Its totient is φ = 20630085120.

The previous prime is 53017873211. The next prime is 53017873217. The reversal of 53017873216 is 61237871035.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53017873211) 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 15 ways as a sum of consecutive naturals, for example, 4128181 + ... + 4141003.

It is an arithmetic number, because the mean of its divisors is an integer number (1172626560).

Almost surely, 253017873216 is an apocalyptic number.

53017873216 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53017873216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65667087360).

53017873216 is an abundant number, since it is smaller than the sum of its proper divisors (78316301504).

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

53017873216 is a wasteful number, since it uses less digits than its factorization.

53017873216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13692 (or 13682 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 43.

The spelling of 53017873216 in words is "fifty-three billion, seventeen million, eight hundred seventy-three thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 704 839 1232 1678 2464 3356 4928 5873 6712 9229 11746 12823 13424 18458 23492 25646 26848 36916 46984 51292 53696 64603 73832 89761 93968 102584 129206 141053 147664 179522 187936 205168 258412 282106 295328 359044 375872 410336 516824 564212 590656 718088 820672 987371 1033648 1128424 1436176 1974742 2067296 2256848 2872352 3949484 4134592 4513696 5744704 7898968 9027392 10758497 15797936 21516994 31595872 43033988 63191744 75309479 86067976 118343467 150618958 172135952 236686934 301237916 344271904 473373868 602475832 688543808 828404269 946747736 1204951664 1656808538 1893495472 2409903328 3313617076 3786990944 4819806656 6627234152 7573981888 13254468304 26508936608 53017873216