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55161826380 = 223251927915779
BaseRepresentation
bin110011010111111001…
…101010110001001100
312021101022201010020200
4303113321222301030
51400432411421010
641201353213500
73661650534153
oct632771526114
9167338633220
1055161826380
112143745a671
12a835701290
1352812ab46b
1429540b859a
15167cb14cc0
hexcd7e6ac4c

55161826380 has 144 divisors (see below), whose sum is σ = 176224339200. Its totient is φ = 13928215680.

The previous prime is 55161826351. The next prime is 55161826411. The reversal of 55161826380 is 8362816155.

55161826380 is a `hidden beast` number, since 5 + 5 + 1 + 6 + 1 + 8 + 2 + 638 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 9542331 + ... + 9548109.

Almost surely, 255161826380 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 55161826380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88112169600).

55161826380 is an abundant number, since it is smaller than the sum of its proper divisors (121062512820).

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

55161826380 is a wasteful number, since it uses less digits than its factorization.

55161826380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8604 (or 8599 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 55161826380 in words is "fifty-five billion, one hundred sixty-one million, eight hundred twenty-six thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 2791 3420 5582 5779 8373 11164 11558 13955 16746 17337 23116 25119 27910 28895 33492 34674 41865 50238 52011 53029 55820 57790 69348 83730 86685 100476 104022 106058 109801 115580 125595 159087 167460 173370 208044 212116 219602 251190 260055 265145 318174 329403 346740 439204 477261 502380 520110 530290 549005 636348 658806 795435 954522 988209 1040220 1060580 1098010 1317612 1590870 1647015 1909044 1976418 2196020 2386305 3181740 3294030 3952836 4772610 4941045 6588060 9545220 9882090 16129189 19764180 32258378 48387567 64516756 80645945 96775134 145162701 161291890 193550268 241937835 290325402 306454591 322583780 483875670 580650804 612909182 725813505 919363773 967751340 1225818364 1451627010 1532272955 1838727546 2758091319 2903254020 3064545910 3677455092 4596818865 5516182638 6129091820 9193637730 11032365276 13790456595 18387275460 27580913190 55161826380