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52858007680 = 2752913072179
BaseRepresentation
bin110001001110100101…
…010011000010000000
312001102202200000010011
4301032211103002000
51331223122221210
640141014314304
73550604436442
oct611645230200
9161382600104
1052858007680
1120464a70575
12a2b2058994
134ca4bca12a
1427b6134492
15159573bd8a
hexc4e953080

52858007680 has 128 divisors (see below), whose sum is σ = 130881096000. Its totient is φ = 20389146624.

The previous prime is 52858007669. The next prime is 52858007687. The reversal of 52858007680 is 8670085825.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (52858007687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24256831 + ... + 24259009.

Almost surely, 252858007680 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 52858007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65440548000).

52858007680 is an abundant number, since it is smaller than the sum of its proper divisors (78023088320).

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

52858007680 is a wasteful number, since it uses less digits than its factorization.

52858007680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3534 (or 3522 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 49.

The spelling of 52858007680 in words is "fifty-two billion, eight hundred fifty-eight million, seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 290 320 464 580 640 928 1160 1307 1856 2179 2320 2614 3712 4358 4640 5228 6535 8716 9280 10456 10895 13070 17432 18560 20912 21790 26140 34864 37903 41824 43580 52280 63191 69728 75806 83648 87160 104560 126382 139456 151612 167296 174320 189515 209120 252764 278912 303224 315955 348640 379030 418240 505528 606448 631910 697280 758060 836480 1011056 1212896 1263820 1394560 1516120 2022112 2425792 2527640 2847953 3032240 4044224 4851584 5055280 5695906 6064480 8088448 10110560 11391812 12128960 14239765 20221120 22783624 24257920 28479530 40442240 45567248 56959060 82590637 91134496 113918120 165181274 182268992 227836240 330362548 364537984 412953185 455672480 660725096 825906370 911344960 1321450192 1651812740 1822689920 2642900384 3303625480 5285800768 6607250960 10571601536 13214501920 26429003840 52858007680