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55060730460 = 223252512814337
BaseRepresentation
bin110011010001111000…
…000001001001011100
312021010021110220201100
4303101320001021130
51400231021333320
641143342313100
73656312325651
oct632170011134
9167107426640
1055060730460
112139538a81a
12a807888790
135266372ba8
1429448bdc28
151673ce5790
hexcd1e0125c

55060730460 has 144 divisors (see below), whose sum is σ = 168318495072. Its totient is φ = 14568960000.

The previous prime is 55060730353. The next prime is 55060730503. The reversal of 55060730460 is 6403706055.

55060730460 is a `hidden beast` number, since 5 + 5 + 0 + 607 + 3 + 0 + 46 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 12693412 + ... + 12697748.

It is an arithmetic number, because the mean of its divisors is an integer number (1168878438).

Almost surely, 255060730460 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 55060730460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84159247536).

55060730460 is an abundant number, since it is smaller than the sum of its proper divisors (113257764612).

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

55060730460 is a wasteful number, since it uses less digits than its factorization.

55060730460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4884 (or 4879 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 55060730460 in words is "fifty-five billion, sixty million, seven hundred thirty thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 251 281 502 562 753 843 1004 1124 1255 1405 1506 1686 2259 2510 2529 2810 3012 3372 3765 4215 4337 4518 5020 5058 5620 7530 8430 8674 9036 10116 11295 12645 13011 15060 16860 17348 21685 22590 25290 26022 39033 43370 45180 50580 52044 65055 70531 78066 86740 130110 141062 156132 195165 211593 260220 282124 352655 390330 423186 634779 705310 780660 846372 1057965 1088587 1218697 1269558 1410620 2115930 2177174 2437394 2539116 3173895 3265761 3656091 4231860 4354348 4874788 5442935 6093485 6347790 6531522 7312182 9797283 10885870 10968273 12186970 12695580 13063044 14624364 16328805 18280455 19594566 21771740 21936546 24373940 32657610 36560910 39189132 43873092 48986415 54841365 65315220 73121820 97972830 109682730 195945660 219365460 305892947 611785894 917678841 1223571788 1529464735 1835357682 2753036523 3058929470 3670715364 4588394205 5506073046 6117858940 9176788410 11012146092 13765182615 18353576820 27530365230 55060730460