Search a number
-
+
56205501516 = 223217315975651
BaseRepresentation
bin110100010110000110…
…111110010001001100
312101002001120022101100
4310112012332101030
51410102102022031
641453114543100
74026552610623
oct642606762114
9171061508340
1056205501516
11219225a41aa
12aa87137a90
1353b959ac08
142a129546ba
1516de571de6
hexd161be44c

56205501516 has 72 divisors (see below), whose sum is σ = 143011041264. Its totient is φ = 18611913600.

The previous prime is 56205501509. The next prime is 56205501523. The reversal of 56205501516 is 61510550265.

56205501516 is a `hidden beast` number, since 5 + 620 + 5 + 5 + 0 + 15 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (56205501509) and next prime (56205501523).

It is a super-4 number, since 4×562055015164 (a number of 44 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9943291 + ... + 9948941.

It is an arithmetic number, because the mean of its divisors is an integer number (1986264462).

Almost surely, 256205501516 is an apocalyptic number.

It is an amenable number.

56205501516 is an abundant number, since it is smaller than the sum of its proper divisors (86805539748).

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

56205501516 is a wasteful number, since it uses less digits than its factorization.

56205501516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7431 (or 7426 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The spelling of 56205501516 in words is "fifty-six billion, two hundred five million, five hundred one thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 173 346 519 692 1038 1557 1597 2076 3114 3194 4791 5651 6228 6388 9582 11302 14373 16953 19164 22604 28746 33906 50859 57492 67812 101718 203436 276281 552562 828843 977623 1105124 1657686 1955246 2486529 2932869 3315372 3910492 4973058 5865738 8798607 9024647 9946116 11731476 17597214 18049294 27073941 35194428 36098588 54147882 81221823 108295764 162443646 324887292 1561263931 3122527862 4683791793 6245055724 9367583586 14051375379 18735167172 28102750758 56205501516