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55952704566 = 23211229387679
BaseRepresentation
bin110100000111000010…
…101000010000110110
312100102102212220011100
4310013002220100312
51404042343021231
641412044350530
74020363066363
oct640702502066
9170372786140
1055952704566
1121802930100
12aa16545446
1353790b9415
1429cb14b46a
1516c72891e6
hexd070a8436

55952704566 has 72 divisors (see below), whose sum is σ = 133710071040. Its totient is φ = 16897304160.

The previous prime is 55952704559. The next prime is 55952704573. The reversal of 55952704566 is 66540725955.

55952704566 is a `hidden beast` number, since 5 + 5 + 9 + 5 + 2 + 70 + 4 + 566 = 666.

It is an interprime number because it is at equal distance from previous prime (55952704559) and next prime (55952704573).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 594315 + ... + 681993.

It is an arithmetic number, because the mean of its divisors is an integer number (1857084320).

Almost surely, 255952704566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55952704566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66855035520).

55952704566 is an abundant number, since it is smaller than the sum of its proper divisors (77757366474).

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

55952704566 is a wasteful number, since it uses less digits than its factorization.

55952704566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88002 (or 87988 counting only the distinct ones).

The product of its (nonzero) digits is 11340000, while the sum is 54.

The spelling of 55952704566 in words is "fifty-five billion, nine hundred fifty-two million, seven hundred four thousand, five hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 293 363 586 726 879 1089 1758 2178 2637 3223 5274 6446 9669 19338 29007 35453 58014 70906 87679 106359 175358 212718 263037 319077 526074 638154 789111 964469 1578222 1928938 2893407 5786814 8680221 10609159 17360442 21218318 25689947 31827477 51379894 63654954 77069841 95482431 154139682 190964862 231209523 282589417 462419046 565178834 847768251 1695536502 2543304753 3108483587 5086609506 6216967174 9325450761 18650901522 27976352283 55952704566