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5584970106 = 23231371571723
BaseRepresentation
bin1010011001110001…
…11110000101111010
3112102020002212200200
411030320332011322
542414223020411
62322105143030
7255254314452
oct51470760572
915366085620
105584970106
11240662a781
1210ba48aa76
136b00c4351
143ada54d62
1522a4a5e56
hex14ce3e17a

5584970106 has 96 divisors (see below), whose sum is σ = 12917918208. Its totient is φ = 1740735360.

The previous prime is 5584970093. The next prime is 5584970141. The reversal of 5584970106 is 6010794855.

5584970106 is a `hidden beast` number, since 5 + 58 + 497 + 0 + 106 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3240561 + ... + 3242283.

It is an arithmetic number, because the mean of its divisors is an integer number (134561648).

Almost surely, 25584970106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5584970106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6458959104).

5584970106 is an abundant number, since it is smaller than the sum of its proper divisors (7332948102).

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

5584970106 is a wasteful number, since it uses less digits than its factorization.

5584970106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1956 (or 1953 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 5584970106 is about 74732.6575601323. The cubic root of 5584970106 is about 1774.2178773091.

The spelling of 5584970106 in words is "five billion, five hundred eighty-four million, nine hundred seventy thousand, one hundred six".

Divisors: 1 2 3 6 9 18 31 37 62 74 93 111 157 186 222 279 314 333 471 558 666 942 1147 1413 1723 2294 2826 3441 3446 4867 5169 5809 6882 9734 10323 10338 11618 14601 15507 17427 20646 29202 31014 34854 43803 52281 53413 63751 87606 104562 106826 127502 160239 180079 191253 270511 320478 360158 382506 480717 540237 541022 573759 811533 961434 1080474 1147518 1620711 1623066 1976281 2434599 3241422 3952562 4869198 5928843 8385841 10008907 11857686 16771682 17786529 20017814 25157523 30026721 35573058 50315046 60053442 75472569 90080163 150945138 180160326 310276117 620552234 930828351 1861656702 2792485053 5584970106