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58745720256 = 2631915872729
BaseRepresentation
bin110110101101100001…
…001000110111000000
312121122002102210101220
4312231201020313000
51430302401022011
642553140355040
74146526245306
oct665541106700
9177562383356
1058745720256
1122a06478133
12b4759a5a80
13570293c622
142bb4074276
1517dc594506
hexdad848dc0

58745720256 has 112 divisors (see below), whose sum is σ = 156568688640. Its totient is φ = 19439073280.

The previous prime is 58745720249. The next prime is 58745720269. The reversal of 58745720256 is 65202754785.

It is a junction number, because it is equal to n+sod(n) for n = 58745720199 and 58745720208.

It is a congruent number.

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, 21525100 + ... + 21527828.

It is an arithmetic number, because the mean of its divisors is an integer number (1397934720).

Almost surely, 258745720256 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 58745720256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78284344320).

58745720256 is an abundant number, since it is smaller than the sum of its proper divisors (97822968384).

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

58745720256 is a wasteful number, since it uses less digits than its factorization.

58745720256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3522 (or 3512 counting only the distinct ones).

The product of its (nonzero) digits is 4704000, while the sum is 51.

The spelling of 58745720256 in words is "fifty-eight billion, seven hundred forty-five million, seven hundred twenty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 191 192 382 573 587 764 1146 1174 1528 1761 2292 2348 2729 3056 3522 4584 4696 5458 6112 7044 8187 9168 9392 10916 12224 14088 16374 18336 18784 21832 28176 32748 36672 37568 43664 56352 65496 87328 112117 112704 130992 174656 224234 261984 336351 448468 521239 523968 672702 896936 1042478 1345404 1563717 1601923 1793872 2084956 2690808 3127434 3203846 3587744 4169912 4805769 5381616 6254868 6407692 7175488 8339824 9611538 10763232 12509736 12815384 16679648 19223076 21526464 25019472 25630768 33359296 38446152 50038944 51261536 76892304 100077888 102523072 153784608 305967293 307569216 611934586 917901879 1223869172 1835803758 2447738344 3671607516 4895476688 7343215032 9790953376 14686430064 19581906752 29372860128 58745720256