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54542315040 = 2535195980517
BaseRepresentation
bin110010110010111110…
…011010111000100000
312012210010222200110020
4302302332122320200
51343200313040130
641020103033440
73640416012513
oct626276327040
9165703880406
1054542315040
1121149795624
12a6a213b880
1351b2b409c5
1428d5ad2d7a
151643540e10
hexcb2f9ae20

54542315040 has 96 divisors (see below), whose sum is σ = 180850864320. Its totient is φ = 13779108864.

The previous prime is 54542315039. The next prime is 54542315057. The reversal of 54542315040 is 4051324545.

54542315040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×545423150402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54542314992 and 54542315010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2981139 + ... + 2999378.

It is an arithmetic number, because the mean of its divisors is an integer number (1883863170).

Almost surely, 254542315040 is an apocalyptic number.

It is an amenable number.

54542315040 is an abundant number, since it is smaller than the sum of its proper divisors (126308549280).

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

54542315040 is a wasteful number, since it uses less digits than its factorization.

54542315040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5980554 (or 5980546 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

Adding to 54542315040 its reverse (4051324545), we get a palindrome (58593639585).

The spelling of 54542315040 in words is "fifty-four billion, five hundred forty-two million, three hundred fifteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 760 912 1140 1520 1824 2280 3040 4560 9120 5980517 11961034 17941551 23922068 29902585 35883102 47844136 59805170 71766204 89707755 95688272 113629823 119610340 143532408 179415510 191376544 227259646 239220680 287064816 340889469 358831020 454519292 478441360 568149115 574129632 681778938 717662040 909038584 956882720 1136298230 1363557876 1435324080 1704447345 1818077168 2272596460 2727115752 2870648160 3408894690 3636154336 4545192920 5454231504 6817789380 9090385840 10908463008 13635578760 18180771680 27271157520 54542315040