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55573260606 = 232233113731607
BaseRepresentation
bin110011110000011011…
…001010100100111110
312022102222220010220100
4303300123022210332
51402303223314411
641310251501530
74005104630643
oct636033124476
9168388803810
1055573260606
1121628725256
12a92b4578a6
1353185c4376
1429929b7dca
1516a3cd6456
hexcf06ca93e

55573260606 has 96 divisors (see below), whose sum is σ = 130647748608. Its totient is φ = 17021727360.

The previous prime is 55573260601. The next prime is 55573260623. The reversal of 55573260606 is 60606237555.

55573260606 is a `hidden beast` number, since 5 + 5 + 5 + 7 + 32 + 6 + 0 + 606 = 666.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (55573260601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1742455 + ... + 1774061.

It is an arithmetic number, because the mean of its divisors is an integer number (1360914048).

Almost surely, 255573260606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55573260606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65323874304).

55573260606 is an abundant number, since it is smaller than the sum of its proper divisors (75074488002).

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

55573260606 is a wasteful number, since it uses less digits than its factorization.

55573260606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31806 (or 31803 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The spelling of 55573260606 in words is "fifty-five billion, five hundred seventy-three million, two hundred sixty thousand, six hundred six".

Divisors: 1 2 3 6 9 18 23 31 46 62 69 93 137 138 186 207 274 279 411 414 558 713 822 1233 1426 2139 2466 3151 4247 4278 6302 6417 8494 9453 12741 12834 18906 25482 28359 31607 38223 56718 63214 76446 94821 97681 189642 195362 284463 293043 568926 586086 726961 879129 979817 1453922 1758258 1959634 2180883 2939451 4330159 4361766 5878902 6542649 8660318 8818353 12990477 13085298 17636706 22535791 25980954 38971431 45071582 67607373 77942862 99593657 134234929 135214746 199187314 202822119 268469858 298780971 402704787 405644238 597561942 805409574 896342913 1208114361 1792685826 2416228722 3087403367 6174806734 9262210101 18524420202 27786630303 55573260606