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68087596096 = 261341932
BaseRepresentation
bin111111011010010101…
…100100010001000000
320111202010211020220101
4333122111210101000
52103420411033341
651140133252144
74630163006032
oct773225442100
9214663736811
1068087596096
112696a744783
1211242494054
136561190000
14341ca3dc52
151b877a2831
hexfda564440

68087596096 has 105 divisors (see below), whose sum is σ = 147132530601. Its totient is φ = 31262220288.

The previous prime is 68087596067. The next prime is 68087596103. The reversal of 68087596096 is 69069578086.

The square root of 68087596096 is 260936.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 63362958400 + 4724637696 = 251720^2 + 68736^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 352785376 + ... + 352785568.

Almost surely, 268087596096 is an apocalyptic number.

68087596096 is the 260936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68087596096

68087596096 is an abundant number, since it is smaller than the sum of its proper divisors (79044934505).

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

68087596096 is an frugal number, since it uses more digits than its factorization.

68087596096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 64.

Multiplying 68087596096 by its sum of digits (64), we get a square (4357606150144 = 20874882).

68087596096 divided by its sum of digits (64) gives a square (1063868689 = 326172).

The spelling of 68087596096 in words is "sixty-eight billion, eighty-seven million, five hundred ninety-six thousand, ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 193 208 338 386 416 676 772 832 1352 1544 2197 2509 2704 3088 4394 5018 5408 6176 8788 10036 10816 12352 17576 20072 28561 32617 35152 37249 40144 57122 65234 70304 74498 80288 114244 130468 140608 148996 160576 228488 260936 297992 424021 456976 484237 521872 595984 848042 913952 968474 1043744 1191968 1696084 1827904 1936948 2087488 2383936 3392168 3873896 5512273 6295081 6784336 7747792 11024546 12590162 13568672 15495584 22049092 25180324 27137344 30991168 44098184 50360648 81836053 88196368 100721296 163672106 176392736 201442592 327344212 352785472 402885184 654688424 1063868689 1309376848 2127737378 2618753696 4255474756 5237507392 8510949512 17021899024 34043798048 68087596096