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67699876864 = 2104721732
BaseRepresentation
bin111111000011001110…
…100010010000000000
320110202010021002002211
4333003032202100000
52102122132024424
651033443151504
74614444313204
oct770316422000
9213663232084
1067699876864
11267908a7564
1211154675594
1364cba5b449
1433c3354b04
151b63717b94
hexfc33a2400

67699876864 has 99 divisors (see below), whose sum is σ = 139078238137. Its totient is φ = 32938225664.

The previous prime is 67699876831. The next prime is 67699876873. The reversal of 67699876864 is 46867899676.

The square root of 67699876864 is 260192.

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

It can be written as a sum of positive squares in only one way, i.e., 61583385600 + 6116491264 = 248160^2 + 78208^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 391328682 + ... + 391328854.

Almost surely, 267699876864 is an apocalyptic number.

67699876864 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

67699876864 is the 260192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67699876864

67699876864 is an abundant number, since it is smaller than the sum of its proper divisors (71378361273).

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

67699876864 is an frugal number, since it uses more digits than its factorization.

67699876864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 222 counting only the distinct ones).

The product of its digits is 1316818944, while the sum is 76.

The spelling of 67699876864 in words is "sixty-seven billion, six hundred ninety-nine million, eight hundred seventy-six thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 47 64 94 128 173 188 256 346 376 512 692 752 1024 1384 1504 2209 2768 3008 4418 5536 6016 8131 8836 11072 12032 16262 17672 22144 24064 29929 32524 35344 44288 48128 59858 65048 70688 88576 119716 130096 141376 177152 239432 260192 282752 382157 478864 520384 565504 764314 957728 1040768 1131008 1406663 1528628 1915456 2081536 2262016 2813326 3057256 3830912 4163072 5626652 6114512 7661824 8326144 11253304 12229024 15323648 22506608 24458048 30647296 45013216 48916096 66113161 90026432 97832192 132226322 180052864 195664384 264452644 360105728 391328768 528905288 720211456 1057810576 1440422912 2115621152 4231242304 8462484608 16924969216 33849938432 67699876864