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53652850368 = 26313154313931
BaseRepresentation
bin110001111101111101…
…011000011011000000
312010111011022012022020
4301331331120123000
51334340112202433
640351530441440
73606365463165
oct617575303300
9163434265266
1053652850368
11208326a9657
12a494293280
1350a0795750
14284d91a06c
1515e03e5cb3
hexc7df586c0

53652850368 has 112 divisors (see below), whose sum is σ = 152986288896. Its totient is φ = 16496686080.

The previous prime is 53652850319. The next prime is 53652850397. The reversal of 53652850368 is 86305825635.

It is a super-3 number, since 3×536528503683 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 53652850368.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3844363 + ... + 3858293.

It is an arithmetic number, because the mean of its divisors is an integer number (1365949008).

Almost surely, 253652850368 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 53652850368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76493144448).

53652850368 is an abundant number, since it is smaller than the sum of its proper divisors (99333438528).

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

53652850368 is a wasteful number, since it uses less digits than its factorization.

53652850368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15502 (or 15492 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 51.

The spelling of 53652850368 in words is "fifty-three billion, six hundred fifty-two million, eight hundred fifty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 1543 2496 3086 4629 6172 9258 12344 13931 18516 20059 24688 27862 37032 40118 41793 49376 55724 60177 74064 80236 83586 98752 111448 120354 148128 160472 167172 181103 222896 240708 296256 320944 334344 362206 445792 481416 543309 641888 668688 724412 891584 962832 1086618 1283776 1337376 1448824 1925664 2173236 2674752 2897648 3851328 4346472 5795296 8692944 11590592 17385888 21495533 34771776 42991066 64486599 85982132 128973198 171964264 257946396 279441929 343928528 515892792 558883858 687857056 838325787 1031785584 1117767716 1375714112 1676651574 2063571168 2235535432 3353303148 4127142336 4471070864 6706606296 8942141728 13413212592 17884283456 26826425184 53652850368