Search a number
-
+
55137355308 = 223271274433889
BaseRepresentation
bin110011010110011100…
…010100011000101100
312021022121122212020200
4303112130110120230
51400410130332213
641155120513500
73661232534010
oct632634243054
9167277585220
1055137355308
1121424666142
12a82947b890
1352791c0c39
142950b48540
15167a8ce273
hexcd671462c

55137355308 has 144 divisors (see below), whose sum is σ = 160943677440. Its totient is φ = 15590195712.

The previous prime is 55137355307. The next prime is 55137355363. The reversal of 55137355308 is 80355373155.

55137355308 is a `hidden beast` number, since 5 + 51 + 37 + 35 + 530 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (55137355307) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 14175828 + ... + 14179716.

Almost surely, 255137355308 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 55137355308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80471838720).

55137355308 is an abundant number, since it is smaller than the sum of its proper divisors (105806322132).

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

55137355308 is a wasteful number, since it uses less digits than its factorization.

55137355308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4476 (or 4471 counting only the distinct ones).

The product of its (nonzero) digits is 945000, while the sum is 45.

The spelling of 55137355308 in words is "fifty-five billion, one hundred thirty-seven million, three hundred fifty-five thousand, three hundred eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 127 252 254 381 443 508 762 886 889 1143 1329 1524 1772 1778 2286 2658 2667 3101 3556 3889 3987 4572 5316 5334 6202 7778 7974 8001 9303 10668 11667 12404 15556 15948 16002 18606 23334 27223 27909 32004 35001 37212 46668 54446 55818 56261 70002 81669 108892 111636 112522 140004 163338 168783 225044 245007 326676 337566 393827 490014 493903 506349 675132 787654 980028 987806 1012698 1181481 1481709 1575308 1722827 1975612 2025396 2362962 2963418 3445654 3457321 3544443 4445127 4725924 5168481 5926836 6891308 6914642 7088886 8890254 10336962 10371963 12059789 13829284 14177772 15505443 17780508 20673924 20743926 24119578 31010886 31115889 36179367 41487852 48239156 62021772 62231778 72358734 108538101 124463556 144717468 217076202 218799029 434152404 437598058 656397087 875196116 1312794174 1531593203 1969191261 2625588348 3063186406 3938382522 4594779609 6126372812 7876765044 9189559218 13784338827 18379118436 27568677654 55137355308