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58216414256 = 24711132279607
BaseRepresentation
bin110110001101111101…
…111111110000110000
312120021012110021001222
4312031331333300300
51423211400224011
642424431444212
74130441233160
oct661575776060
9176235407058
1058216414256
1122764714760
12b348686668
13564a096400
142b63a505a0
1517aad8cddb
hexd8df7fc30

58216414256 has 120 divisors (see below), whose sum is σ = 152276753664. Its totient is φ = 20936897280.

The previous prime is 58216414253. The next prime is 58216414273. The reversal of 58216414256 is 65241461285.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (58216414253) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68405 + ... + 348011.

Almost surely, 258216414256 is an apocalyptic number.

58216414256 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 58216414256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76138376832).

58216414256 is an abundant number, since it is smaller than the sum of its proper divisors (94060339408).

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

58216414256 is a wasteful number, since it uses less digits than its factorization.

58216414256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279659 (or 279640 counting only the distinct ones).

The product of its digits is 460800, while the sum is 44.

The spelling of 58216414256 in words is "fifty-eight billion, two hundred sixteen million, four hundred fourteen thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 104 112 143 154 169 176 182 208 286 308 338 364 572 616 676 728 1001 1144 1183 1232 1352 1456 1859 2002 2288 2366 2704 3718 4004 4732 7436 8008 9464 13013 14872 16016 18928 26026 29744 52052 104104 208208 279607 559214 1118428 1957249 2236856 3075677 3634891 3914498 4473712 6151354 7269782 7828996 12302708 14539564 15657992 21529739 24605416 25444237 29079128 31315984 39983801 43059478 47253583 49210832 50888474 58158256 79967602 86118956 94507166 101776948 159935204 172237912 189014332 203553896 279886607 319870408 330775081 344475824 378028664 407107792 519789413 559773214 639740816 661550162 756057328 1039578826 1119546428 1323100324 2079157652 2239092856 2646200648 3638525891 4158315304 4478185712 5292401296 7277051782 8316630608 14554103564 29108207128 58216414256