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58756380860 = 22541712114783
BaseRepresentation
bin110110101110001001…
…110011100010111100
312121122211111102000002
4312232021303202330
51430313113141420
642554201053432
74150015665632
oct665611634274
9177584442002
1058756380860
1122a11499651
12b479487278
135704c02a88
142bb564b352
1517dd49d075
hexdae2738bc

58756380860 has 96 divisors (see below), whose sum is σ = 128812529664. Its totient is φ = 22494528000.

The previous prime is 58756380853. The next prime is 58756381001. The reversal of 58756380860 is 6808365785.

It is a junction number, because it is equal to n+sod(n) for n = 58756380796 and 58756380805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12282029 + ... + 12286811.

It is an arithmetic number, because the mean of its divisors is an integer number (1341797184).

Almost surely, 258756380860 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 58756380860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64406264832).

58756380860 is an abundant number, since it is smaller than the sum of its proper divisors (70056148804).

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

58756380860 is a wasteful number, since it uses less digits than its factorization.

58756380860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5115 (or 5113 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 56.

The spelling of 58756380860 in words is "fifty-eight billion, seven hundred fifty-six million, three hundred eighty thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 20 41 71 82 142 164 205 211 284 355 410 422 710 820 844 1055 1420 2110 2911 4220 4783 5822 8651 9566 11644 14555 14981 17302 19132 23915 29110 29962 34604 43255 47830 58220 59924 74905 86510 95660 149810 173020 196103 299620 339593 392206 614221 679186 784412 980515 1009213 1228442 1358372 1697965 1961030 2018426 2456884 3071105 3395930 3922060 4036852 5046065 6142210 6791860 10092130 12284420 13923313 20184260 27846626 41377733 55693252 69616565 71654123 82755466 139233130 143308246 165510932 206888665 278466260 286616492 358270615 413777330 716541230 827554660 1433082460 2937819043 5875638086 11751276172 14689095215 29378190430 58756380860