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56706736380 = 22357739182701
BaseRepresentation
bin110100110011111111…
…000010000011111100
312102100222201200100120
4310303333002003330
51412113411031010
642014542054540
74045150210020
oct646377020374
9172328650316
1056706736380
112205a524398
12aba6b7a450
1354693960a8
142a5d34c380
15171d580e70
hexd33fc20fc

56706736380 has 96 divisors (see below), whose sum is σ = 181708101120. Its totient is φ = 12943929600.

The previous prime is 56706736357. The next prime is 56706736381. The reversal of 56706736380 is 8363760765.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56706736381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219030 + ... + 401730.

It is an arithmetic number, because the mean of its divisors is an integer number (1892792720).

Almost surely, 256706736380 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 56706736380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90854050560).

56706736380 is an abundant number, since it is smaller than the sum of its proper divisors (125001364740).

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

56706736380 is a wasteful number, since it uses less digits than its factorization.

56706736380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183459 (or 183457 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 51.

The spelling of 56706736380 in words is "fifty-six billion, seven hundred six million, seven hundred thirty-six thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 739 1478 2217 2956 3695 4434 5173 7390 8868 10346 11085 14780 15519 20692 22170 25865 31038 44340 51730 62076 77595 103460 155190 182701 310380 365402 548103 730804 913505 1096206 1278907 1827010 2192412 2557814 2740515 3654020 3836721 5115628 5481030 6394535 7673442 10962060 12789070 15346884 19183605 25578140 38367210 76734420 135016039 270032078 405048117 540064156 675080195 810096234 945112273 1350160390 1620192468 1890224546 2025240585 2700320780 2835336819 3780449092 4050481170 4725561365 5670673638 8100962340 9451122730 11341347276 14176684095 18902245460 28353368190 56706736380