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58340125256 = 2376175122741
BaseRepresentation
bin110110010101010101…
…111010101001001000
312120120211020102122212
4312111111322221020
51423440033002011
642445011204252
74133502611510
oct662525725110
9176524212585
1058340125256
1122818530656
12b381ba6688
1356698bc49a
142b76254840
1517b6b7808b
hexd9557aa48

58340125256 has 64 divisors (see below), whose sum is σ = 127238760960. Its totient is φ = 24559200000.

The previous prime is 58340125243. The next prime is 58340125331. The reversal of 58340125256 is 65252104385.

58340125256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 2554046 + ... + 2576786.

It is an arithmetic number, because the mean of its divisors is an integer number (1988105640).

Almost surely, 258340125256 is an apocalyptic number.

58340125256 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58340125256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63619380480).

58340125256 is an abundant number, since it is smaller than the sum of its proper divisors (68898635704).

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

58340125256 is a wasteful number, since it uses less digits than its factorization.

58340125256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23566 (or 23562 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 41.

The spelling of 58340125256 in words is "fifty-eight billion, three hundred forty million, one hundred twenty-five thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 28 56 61 122 244 427 488 751 854 1502 1708 3004 3416 5257 6008 10514 21028 22741 42056 45482 45811 90964 91622 159187 181928 183244 318374 320677 366488 636748 641354 1273496 1282708 1387201 2565416 2774402 5548804 9710407 11097608 17078491 19420814 34156982 38841628 68313964 77683256 119549437 136627928 239098874 478197748 956395496 1041787951 2083575902 4167151804 7292515657 8334303608 14585031314 29170062628 58340125256