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54630587900 = 22527197157853
BaseRepresentation
bin110010111000001111…
…001001110111111100
312020000022002102001102
4302320033021313330
51343340412303100
641032535032232
73642540223010
oct627017116774
9166008072042
1054630587900
11211945a72a9
12a70780b678
1351c8209775
142903710540
15164b17acd5
hexcb83c9dfc

54630587900 has 144 divisors (see below), whose sum is σ = 144625743360. Its totient is φ = 17494444800.

The previous prime is 54630587897. The next prime is 54630587911. The reversal of 54630587900 is 978503645.

It is a super-2 number, since 2×546305879002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 915374 + ... + 973226.

It is an arithmetic number, because the mean of its divisors is an integer number (1004345440).

Almost surely, 254630587900 is an apocalyptic number.

54630587900 is a gapful number since it is divisible by the number (50) 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 54630587900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72312871680).

54630587900 is an abundant number, since it is smaller than the sum of its proper divisors (89995155460).

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

54630587900 is a wasteful number, since it uses less digits than its factorization.

54630587900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57964 (or 57957 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 47.

The spelling of 54630587900 in words is "fifty-four billion, six hundred thirty million, five hundred eighty-seven thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 71 76 95 100 133 140 142 175 190 266 284 350 355 380 475 497 532 665 700 710 950 994 1330 1349 1420 1775 1900 1988 2485 2660 2698 3325 3550 4970 5396 6650 6745 7100 9443 9940 12425 13300 13490 18886 24850 26980 33725 37772 47215 49700 57853 67450 94430 115706 134900 188860 231412 236075 289265 404971 472150 578530 809942 944300 1099207 1157060 1446325 1619884 2024855 2198414 2892650 4049710 4107563 4396828 5496035 5785300 7694449 8099420 8215126 10124275 10992070 15388898 16430252 20248550 20537815 21984140 27480175 28752941 30777796 38472245 40497100 41075630 54960350 57505882 76944490 78043697 82151260 102689075 109920700 115011764 143764705 153888980 156087394 192361225 205378150 287529410 312174788 384722450 390218485 410756300 546305879 575058820 718823525 769444900 780436970 1092611758 1437647050 1560873940 1951092425 2185223516 2731529395 2875294100 3902184850 5463058790 7804369700 10926117580 13657646975 27315293950 54630587900