Search a number
-
+
55331213355 = 32511295310663
BaseRepresentation
bin110011100001111111…
…110101000000101011
312021211010102212111100
4303201333311000223
51401304242311410
641230243532443
73666105360555
oct634177650053
9167733385440
1055331213355
1121514033600
12a88238a123
1352aa407742
14296c7ac4d5
15168c9238c0
hexce1ff502b

55331213355 has 72 divisors (see below), whose sum is σ = 105539432544. Its totient is φ = 26796591360.

The previous prime is 55331213309. The next prime is 55331213387.

55331213355 is a `hidden beast` number, since 5 + 5 + 3 + 312 + 1 + 335 + 5 = 666.

55331213355 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 55331213355 - 219 = 55330689067 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5183754 + ... + 5194416.

It is an arithmetic number, because the mean of its divisors is an integer number (1465825452).

Almost surely, 255331213355 is an apocalyptic number.

55331213355 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

55331213355 is a deficient number, since it is larger than the sum of its proper divisors (50208219189).

55331213355 is a wasteful number, since it uses less digits than its factorization.

55331213355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11649 (or 11635 counting only the distinct ones).

The product of its digits is 101250, while the sum is 36.

The spelling of 55331213355 in words is "fifty-five billion, three hundred thirty-one million, two hundred thirteen thousand, three hundred fifty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 121 165 363 495 605 953 1089 1815 2859 4765 5445 8577 10483 10663 14295 31449 31989 42885 52415 53315 94347 95967 115313 117293 157245 159945 345939 351879 471735 479835 576565 586465 1037817 1055637 1290223 1729695 1759395 3870669 5189085 5278185 6451115 10161839 11612007 19353345 30485517 50809195 58060035 91456551 111780229 152427585 335340687 457282755 558901145 1006022061 1229582519 1676703435 3688747557 5030110305 6147912595 11066242671 18443737785 55331213355