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5121551556 = 223211671371409
BaseRepresentation
bin1001100010100010…
…01010110011000100
3111012221002202221200
410301101022303010
540442104122211
62204112342500
7240626320122
oct46121126304
914187082850
105121551556
112198a89540
12bab244a30
136380a9aa4
143682a2912
151ee966b56
hex13144acc4

5121551556 has 144 divisors (see below), whose sum is σ = 14448732480. Its totient is φ = 1516584960.

The previous prime is 5121551551. The next prime is 5121551573. The reversal of 5121551556 is 6551551215.

5121551556 is a `hidden beast` number, since 51 + 2 + 1 + 5 + 51 + 556 = 666.

It is a super-2 number, since 2×51215515562 = 52460580681532042272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5121551556.

It is not an unprimeable number, because it can be changed into a prime (5121551551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3634180 + ... + 3635588.

It is an arithmetic number, because the mean of its divisors is an integer number (100338420).

Almost surely, 25121551556 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5121551556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7224366240).

5121551556 is an abundant number, since it is smaller than the sum of its proper divisors (9327180924).

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

5121551556 is a wasteful number, since it uses less digits than its factorization.

5121551556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634 (or 1629 counting only the distinct ones).

The product of its digits is 37500, while the sum is 36.

The square root of 5121551556 is about 71565.0162858921. The cubic root of 5121551556 is about 1723.7218347583.

The spelling of 5121551556 in words is "five billion, one hundred twenty-one million, five hundred fifty-one thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 67 99 132 134 137 198 201 268 274 396 402 411 548 603 737 804 822 1206 1233 1409 1474 1507 1644 2211 2412 2466 2818 2948 3014 4227 4422 4521 4932 5636 6028 6633 8454 8844 9042 9179 12681 13266 13563 15499 16908 18084 18358 25362 26532 27126 27537 30998 36716 46497 50724 54252 55074 61996 82611 92994 94403 100969 110148 139491 165222 185988 188806 193033 201938 278982 283209 302907 330444 377612 386066 403876 557964 566418 579099 605814 772132 849627 908721 1038433 1132836 1158198 1211628 1699254 1737297 1817442 2076866 2123363 2316396 3115299 3398508 3474594 3634884 4153732 4246726 6230598 6370089 6949188 8493452 9345897 12461196 12740178 12933211 18691794 19110267 25480356 25866422 37383588 38220534 38799633 51732844 76441068 77599266 116398899 142265321 155198532 232797798 284530642 426795963 465595596 569061284 853591926 1280387889 1707183852 2560775778 5121551556