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54732197760 = 273534998147
BaseRepresentation
bin110010111110010010…
…110000111110000000
312020021101021201120120
4302332102300332000
51344042420312020
641051004540240
73645213001452
oct627622607600
9166241251516
1054732197760
1121236998299
12a735851680
135213294c46
1429130002d2
15165504c740
hexcbe4b0f80

54732197760 has 128 divisors (see below), whose sum is σ = 174530160000. Its totient is φ = 14589290496.

The previous prime is 54732197759. The next prime is 54732197831. The reversal of 54732197760 is 6779123745.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×547321977602 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6714007 + ... + 6722153.

It is an arithmetic number, because the mean of its divisors is an integer number (1363516875).

Almost surely, 254732197760 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 54732197760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87265080000).

54732197760 is an abundant number, since it is smaller than the sum of its proper divisors (119797962240).

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

54732197760 is a wasteful number, since it uses less digits than its factorization.

54732197760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11668 (or 11656 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 51.

The spelling of 54732197760 in words is "fifty-four billion, seven hundred thirty-two million, one hundred ninety-seven thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 3499 6998 8147 10497 13996 16294 17495 20994 24441 27992 32588 34990 40735 41988 48882 52485 55984 65176 69980 81470 83976 97764 104970 111968 122205 130352 139960 162940 167952 195528 209940 223936 244410 260704 279920 325880 335904 391056 419880 447872 488820 521408 559840 651760 671808 782112 839760 977640 1042816 1119680 1303520 1343616 1564224 1679520 1955280 2239360 2607040 3128448 3359040 3910560 5214080 6718080 7821120 15642240 28506353 57012706 85519059 114025412 142531765 171038118 228050824 285063530 342076236 427595295 456101648 570127060 684152472 855190590 912203296 1140254120 1368304944 1710381180 1824406592 2280508240 2736609888 3420762360 3648813184 4561016480 5473219776 6841524720 9122032960 10946439552 13683049440 18244065920 27366098880 54732197760