Search a number
-
+
55017455364 = 22348321572
BaseRepresentation
bin110011001111010010…
…111011111100000100
312021000021001022110000
4303033102323330010
51400133432032424
641135155001300
73655245440334
oct631722737404
9167007038400
1055017455364
1121372a12583
12a7b5299230
13525a400721
14293cc570c4
1516700e83c9
hexccf4bbf04

55017455364 has 135 divisors (see below), whose sum is σ = 146513391717. Its totient is φ = 18002795616.

The previous prime is 55017455323. The next prime is 55017455377. The reversal of 55017455364 is 46355471055.

The square root of 55017455364 is 234558.

It is a perfect power (a square), and thus also a powerful number.

55017455364 is a `hidden beast` number, since 550 + 1 + 7 + 45 + 53 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16126460100 + 38890995264 = 126990^2 + 197208^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 350429574 + ... + 350429730.

Almost surely, 255017455364 is an apocalyptic number.

55017455364 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

55017455364 is the 234558-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55017455364

55017455364 is an abundant number, since it is smaller than the sum of its proper divisors (91495936353).

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

55017455364 is an equidigital number, since it uses as much as digits as its factorization.

55017455364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 1260000, while the sum is 45.

The spelling of 55017455364 in words is "fifty-five billion, seventeen million, four hundred fifty-five thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 83 108 157 162 166 249 314 324 332 471 498 628 747 942 996 1413 1494 1884 2241 2826 2988 4239 4482 5652 6723 6889 8478 8964 12717 13031 13446 13778 16956 20667 24649 25434 26062 26892 27556 39093 41334 49298 50868 52124 62001 73947 78186 82668 98596 117279 124002 147894 156372 186003 221841 234558 248004 295788 351837 372006 443682 469116 558009 665523 703674 744012 887364 1055511 1081573 1116018 1331046 1407348 1996569 2045867 2111022 2163146 2232036 2662092 3244719 3993138 4091734 4222044 4326292 6137601 6489438 7986276 8183468 9734157 12275202 12978876 18412803 19468314 24550404 29202471 36825606 38936628 55238409 58404942 73651212 87607413 110476818 116809884 165715227 169806961 175214826 220953636 331430454 339613922 350429652 509420883 662860908 679227844 1018841766 1528262649 2037683532 3056525298 4584787947 6113050596 9169575894 13754363841 18339151788 27508727682 55017455364