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52700806512 = 24321497873121
BaseRepresentation
bin110001000101001101…
…100111110101110000
312001000210212100122200
4301011031213311300
51330412401302022
640113241103200
73543655315134
oct610515476560
9161023770580
1052700806512
112039425aa52
12a269487b00
134c7b4795a3
14279d2d33c4
151586a38bac
hexc45367d70

52700806512 has 120 divisors (see below), whose sum is σ = 148715221200. Its totient is φ = 17421281280.

The previous prime is 52700806469. The next prime is 52700806513. The reversal of 52700806512 is 21560800725.

It is a happy number.

52700806512 is a `hidden beast` number, since 527 + 0 + 0 + 80 + 6 + 51 + 2 = 666.

52700806512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×527008065122 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52700806513) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16884312 + ... + 16887432.

It is an arithmetic number, because the mean of its divisors is an integer number (1239293510).

Almost surely, 252700806512 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 52700806512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74357610600).

52700806512 is an abundant number, since it is smaller than the sum of its proper divisors (96014414688).

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

52700806512 is a wasteful number, since it uses less digits than its factorization.

52700806512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4071 (or 4062 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 52700806512 in words is "fifty-two billion, seven hundred million, eight hundred six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 149 298 447 596 787 894 1192 1341 1574 1788 2361 2384 2682 3121 3148 3576 4722 5364 6242 6296 7083 7152 9363 9444 10728 12484 12592 14166 18726 18888 21456 24968 28089 28332 37452 37776 49936 56178 56664 74904 112356 113328 117263 149808 224712 234526 351789 449424 465029 469052 703578 930058 938104 1055367 1395087 1407156 1860116 1876208 2110734 2456227 2790174 2814312 3720232 4185261 4221468 4912454 5580348 5628624 7368681 7440464 8370522 8442936 9824908 11160696 14737362 16741044 16885872 19649816 22106043 22321392 29474724 33482088 39299632 44212086 58949448 66964176 88424172 117898896 176848344 353696688 365977823 731955646 1097933469 1463911292 2195866938 2927822584 3293800407 4391733876 5855645168 6587600814 8783467752 13175201628 17566935504 26350403256 52700806512