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54542405060 = 225111361930809
BaseRepresentation
bin110010110010111110…
…110000110111000100
312012210011011020221022
4302302332300313010
51343200323430220
641020105010312
73640416536123
oct626276606704
9165704136838
1054542405060
1121149847220
12a6a2183998
1351b2b72980
1428d5b17aba
15164355c925
hexcb2fb0dc4

54542405060 has 96 divisors (see below), whose sum is σ = 134785123200. Its totient is φ = 18277770240.

The previous prime is 54542405011. The next prime is 54542405101. The reversal of 54542405060 is 6050424545.

It is a super-2 number, since 2×545424050602 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 54542405060.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1754936 + ... + 1785744.

It is an arithmetic number, because the mean of its divisors is an integer number (1404011700).

Almost surely, 254542405060 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 54542405060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67392561600).

54542405060 is an abundant number, since it is smaller than the sum of its proper divisors (80242718140).

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

54542405060 is a wasteful number, since it uses less digits than its factorization.

54542405060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31461 (or 31459 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 35.

The spelling of 54542405060 in words is "fifty-four billion, five hundred forty-two million, four hundred five thousand, sixty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 619 715 1238 1430 2476 2860 3095 6190 6809 8047 12380 13618 16094 27236 30809 32188 34045 40235 61618 68090 80470 88517 123236 136180 154045 160940 177034 308090 338899 354068 400517 442585 616180 677798 801034 885170 1355596 1602068 1694495 1770340 2002585 3388990 4005170 4405687 6777980 8010340 8811374 17622748 19070771 22028435 38141542 44056870 76283084 88113740 95353855 190707710 209778481 247920023 381415420 419556962 495840046 839113924 991680092 1048892405 1239600115 2097784810 2479200230 2727120253 4195569620 4958400460 5454240506 10908481012 13635601265 27271202530 54542405060