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53878889168 = 24134147229587
BaseRepresentation
bin110010001011011011…
…101001101011010000
312011001220122011020122
4302023123221223100
51340320443423133
640430203325412
73615112000346
oct621333515320
9164056564218
1053878889168
1120939256985
12a537b20868
135108568a10
142871959996
151605195498
hexc8b6e9ad0

53878889168 has 160 divisors (see below), whose sum is σ = 118327426560. Its totient is φ = 23600517120.

The previous prime is 53878889161. The next prime is 53878889227. The reversal of 53878889168 is 86198887835.

53878889168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53878889161) 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, 91786571 + ... + 91787157.

It is an arithmetic number, because the mean of its divisors is an integer number (739546416).

Almost surely, 253878889168 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 53878889168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59163713280).

53878889168 is an abundant number, since it is smaller than the sum of its proper divisors (64448537392).

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

53878889168 is a wasteful number, since it uses less digits than its factorization.

53878889168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 919 counting only the distinct ones).

The product of its digits is 185794560, while the sum is 71.

The spelling of 53878889168 in words is "fifty-three billion, eight hundred seventy-eight million, eight hundred eighty-nine thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 41 47 52 82 94 104 164 188 208 229 328 376 458 533 587 611 656 752 916 1066 1174 1222 1832 1927 2132 2348 2444 2977 3664 3854 4264 4696 4888 5954 7631 7708 8528 9389 9392 9776 10763 11908 15262 15416 18778 21526 23816 24067 25051 27589 30524 30832 37556 43052 47632 48134 50102 55178 61048 75112 86104 96268 100204 110356 122057 122096 134423 139919 150224 172208 192536 200408 220712 244114 268846 279838 312871 358657 385072 400816 441283 441424 488228 537692 559676 625742 717314 882566 976456 1075384 1119352 1131149 1251484 1434628 1747499 1765132 1952912 2150768 2238704 2262298 2502968 2869256 3494998 3530264 4524596 5005936 5511343 5736679 5738512 6317881 6989996 7060528 9049192 11022686 11473358 12635762 13979992 14704937 18098384 22045372 22946716 25271524 27959984 29409874 44090744 45893432 50543048 58819748 71647459 82132453 88181488 91786864 101086096 117639496 143294918 164264906 235278992 259033121 286589836 328529812 518066242 573179672 657059624 1036132484 1146359344 1314119248 2072264968 3367430573 4144529936 6734861146 13469722292 26939444584 53878889168