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53531806368 = 2535973129469
BaseRepresentation
bin110001110110101111…
…101000101010100000
312010011201112112011010
4301312233220222200
51334113120300433
640331524220520
73603365563215
oct616657505240
9163151475133
1053531806368
1120780344497
12a45b83a740
135081694591
14283b80bb0c
1515d4985e63
hexc76be8aa0

53531806368 has 96 divisors (see below), whose sum is σ = 144861393600. Its totient is φ = 17301067776.

The previous prime is 53531806319. The next prime is 53531806373. The reversal of 53531806368 is 86360813535.

53531806368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 348738 + ... + 478206.

It is an arithmetic number, because the mean of its divisors is an integer number (1508972850).

Almost surely, 253531806368 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 53531806368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72430696800).

53531806368 is an abundant number, since it is smaller than the sum of its proper divisors (91329587232).

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

53531806368 is a wasteful number, since it uses less digits than its factorization.

53531806368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129614 (or 129606 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 53531806368 in words is "fifty-three billion, five hundred thirty-one million, eight hundred six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 73 96 118 146 177 219 236 292 354 438 472 584 708 876 944 1168 1416 1752 1888 2336 2832 3504 4307 5664 7008 8614 12921 17228 25842 34456 51684 68912 103368 129469 137824 206736 258938 388407 413472 517876 776814 1035752 1553628 2071504 3107256 4143008 6214512 7638671 9451237 12429024 15277342 18902474 22916013 28353711 30554684 37804948 45832026 56707422 61109368 75609896 91664052 113414844 122218736 151219792 183328104 226829688 244437472 302439584 366656208 453659376 557622983 733312416 907318752 1115245966 1672868949 2230491932 3345737898 4460983864 6691475796 8921967728 13382951592 17843935456 26765903184 53531806368