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55185057224 = 231119732811609
BaseRepresentation
bin110011011001010010…
…010010010111001000
312021102221102100222022
4303121102102113020
51401004333312344
641203543144012
73662352150443
oct633122222710
9167387370868
1055185057224
1121449587310
12a841445008
13528605331b
14295720465a
15167eba30ee
hexcd94925c8

55185057224 has 128 divisors (see below), whose sum is σ = 120950928000. Its totient is φ = 23340441600.

The previous prime is 55185057089. The next prime is 55185057241. The reversal of 55185057224 is 42275058155.

It is a Cunningham number, because it is equal to 2349152-1.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34296932 + ... + 34298540.

It is an arithmetic number, because the mean of its divisors is an integer number (944929125).

Almost surely, 255185057224 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 55185057224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60475464000).

55185057224 is an abundant number, since it is smaller than the sum of its proper divisors (65765870776).

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

55185057224 is a wasteful number, since it uses less digits than its factorization.

55185057224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1999 (or 1995 counting only the distinct ones).

The product of its (nonzero) digits is 560000, while the sum is 44.

The spelling of 55185057224 in words is "fifty-five billion, one hundred eighty-five million, fifty-seven thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 19 22 38 44 73 76 88 146 152 209 281 292 418 562 584 803 836 1124 1387 1606 1609 1672 2248 2774 3091 3212 3218 5339 5548 6182 6424 6436 10678 11096 12364 12872 15257 17699 20513 21356 24728 30514 30571 35398 41026 42712 58729 61028 61142 70796 82052 117457 117458 122056 122284 141592 164104 225643 234914 234916 244568 336281 389747 451286 452129 469828 469832 672562 779494 902572 904258 939656 1292027 1345124 1558988 1805144 1808516 2231683 2584054 2690248 3117976 3617032 4287217 4463366 4973419 5168108 8574434 8590451 8926732 9946838 10336216 17148868 17180902 17853464 19893676 24548513 33005417 34297736 34361804 39787352 49097026 66010834 68723608 94494961 98194052 132021668 188989922 196388104 264043336 363059587 377979844 627102923 726119174 755959688 1254205846 1452238348 2508411692 2904476696 5016823384 6898132153 13796264306 27592528612 55185057224