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694142255104 = 2142322832
BaseRepresentation
bin10100001100111100001…
…10100100000000000000
32110100200222010010101021
422012132012210000000
542333100404130404
61250515021315224
7101102330550034
oct12063606440000
92410628103337
10694142255104
11248425230211
12b2642a05b14
13505c39baabc
142584d3661c4
15130c9bbe454
hexa19e1a4000

694142255104 has 135 divisors (see below), whose sum is σ = 1456370896323. Its totient is φ = 330808000512.

The previous prime is 694142255089. The next prime is 694142255129. The reversal of 694142255104 is 401552241496.

The square root of 694142255104 is 833152.

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

It is a super-2 number, since 2×6941422551042 (a number of 24 digits) contains 22 as substring.

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, 2452799347 + ... + 2452799629.

Almost surely, 2694142255104 is an apocalyptic number.

694142255104 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

694142255104 is the 833152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 694142255104

694142255104 is an abundant number, since it is smaller than the sum of its proper divisors (762228641219).

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

694142255104 is an frugal number, since it uses more digits than its factorization.

694142255104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 43.

The spelling of 694142255104 in words is "six hundred ninety-four billion, one hundred forty-two million, two hundred fifty-five thousand, one hundred four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 283 368 512 529 566 736 1024 1058 1132 1472 2048 2116 2264 2944 4096 4232 4528 5888 6509 8192 8464 9056 11776 13018 16384 16928 18112 23552 26036 33856 36224 47104 52072 67712 72448 80089 94208 104144 135424 144896 149707 160178 188416 208288 270848 289792 299414 320356 376832 416576 541696 579584 598828 640712 833152 1083392 1159168 1197656 1281424 1666304 1842047 2166784 2318336 2395312 2562848 3332608 3684094 4333568 4636672 4790624 5125696 6665216 7368188 8667136 9581248 10251392 13330432 14736376 19162496 20502784 26660864 29472752 38324992 41005568 42367081 53321728 58945504 76649984 82011136 84734162 106643456 117891008 153299968 164022272 169468324 235782016 306599936 328044544 338936648 471564032 613199872 656089088 677873296 943128064 1226399744 1312178176 1355746592 1886256128 2452799488 2711493184 3772512256 5422986368 7545024512 10845972736 15090049024 21691945472 30180098048 43383890944 86767781888 173535563776 347071127552 694142255104