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55133308395 = 3351123270183
BaseRepresentation
bin110011010110001100…
…111000010111101011
312021022100001020221000
4303112030320113223
51400403111332040
641154454050043
73661153250304
oct632614702753
9167270036830
1055133308395
1121422351690
12a828049923
135278404c09
1429503b37ab
15167a380130
hexcd63385eb

55133308395 has 96 divisors (see below), whose sum is σ = 111777845760. Its totient is φ = 25568706240.

The previous prime is 55133308343. The next prime is 55133308411. The reversal of 55133308395 is 59380333155.

55133308395 is a `hidden beast` number, since 551 + 3 + 3 + 3 + 0 + 8 + 3 + 95 = 666.

It is not a de Polignac number, because 55133308395 - 26 = 55133308331 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 55133308395.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 750474 + ... + 820656.

It is an arithmetic number, because the mean of its divisors is an integer number (1164352560).

Almost surely, 255133308395 is an apocalyptic number.

55133308395 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

55133308395 is an abundant number, since it is smaller than the sum of its proper divisors (56644537365).

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

55133308395 is a wasteful number, since it uses less digits than its factorization.

55133308395 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70254 (or 70225 counting only the distinct ones).

The product of its (nonzero) digits is 729000, while the sum is 45.

The spelling of 55133308395 in words is "fifty-five billion, one hundred thirty-three million, three hundred eight thousand, three hundred ninety-five".

Divisors: 1 3 5 9 11 15 23 27 33 45 55 69 99 115 135 165 207 253 297 345 495 529 621 759 1035 1265 1485 1587 2277 2645 3105 3795 4761 5819 6831 7935 11385 14283 17457 23805 29095 34155 52371 70183 71415 87285 157113 210549 261855 350915 631647 772013 785565 1052745 1614209 1894941 2316039 3158235 3860065 4842627 6948117 8071045 9474705 11580195 14527881 17756299 20844351 24213135 34740585 37126807 43583643 53268897 72639405 88781495 104221755 111380421 159806691 185634035 217918215 266344485 334141263 408394877 479420073 556902105 799033455 1002423789 1225184631 1670706315 2041974385 2397100365 3675553893 5012118945 6125923155 11026661679 18377769465 55133308395