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674239696641 = 32726126412
BaseRepresentation
bin10011100111110111101…
…00010100111100000001
32101110022220221101210100
421303323310110330001
542021320330243031
61233424052353013
766466200601200
oct11637364247401
92343286841710
10674239696641
1123aa41805495
12aa809615769
134b77156c2a4
14248c1da7237
151281279ede6
hex9cfbd14f01

674239696641 has 81 divisors (see below), whose sum is σ = 1153582508169. Its totient is φ = 378372556800.

The previous prime is 674239696639. The next prime is 674239696679. The reversal of 674239696641 is 146696932476.

674239696641 = 13 + 23 + ... + 12813.

The square root of 674239696641 is 821121.

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

674239696641 is a `hidden beast` number, since 67 + 42 + 396 + 96 + 64 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12392365041 + 661847331600 = 111321^2 + 813540^2 .

It is not a de Polignac number, because 674239696641 - 21 = 674239696639 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (674239696601) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1051855681 + ... + 1051856321.

Almost surely, 2674239696641 is an apocalyptic number.

674239696641 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

674239696641 is the 821121-st square number.

674239696641 is the 410561-st centered octagonal number.

It is an amenable number.

674239696641 is a deficient number, since it is larger than the sum of its proper divisors (479342811528).

674239696641 is an frugal number, since it uses more digits than its factorization.

674239696641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424 (or 712 counting only the distinct ones).

The product of its digits is 70543872, while the sum is 63.

The spelling of 674239696641 in words is "six hundred seventy-four billion, two hundred thirty-nine million, six hundred ninety-six thousand, six hundred forty-one".

Divisors: 1 3 7 9 21 49 61 63 147 183 427 441 549 641 1281 1923 2989 3721 3843 4487 5769 8967 11163 13461 26047 26901 31409 33489 39101 40383 78141 94227 117303 182329 234423 273707 282681 351909 410881 546987 821121 1232643 1640961 1915949 2385161 2463363 2876167 3697929 5747847 7155483 8628501 16696127 17243541 20133169 21466449 25063741 25885503 50088381 60399507 75191223 116872889 150265143 175446187 181198521 225573669 350618667 526338561 1051856001 1228123309 1528888201 1579015683 3684369927 4586664603 10702217407 11053109781 13759993809 32106652221 74915521849 96319956663 224746565547 674239696641