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674170724241 = 3472130332
BaseRepresentation
bin10011100111101111011…
…01001101111110010001
32101110011010011020110000
421303313231031332101
542021200201133431
61233413150200213
766464402414400
oct11636755157621
92343133136400
10674170724241
1123aa06886503
12aa7aa4b3069
134b7601a0411
14248b6b71637
151280b6c89e6
hex9cf7b4df91

674170724241 has 45 divisors (see below), whose sum is σ = 1171608032331. Its totient is φ = 385210855008.

The previous prime is 674170724057. The next prime is 674170724267. The reversal of 674170724241 is 142427071476.

The square root of 674170724241 is 821079.

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., 420662502225 + 253508222016 = 648585^2 + 503496^2 .

It is not a de Polignac number, because 674170724241 - 29 = 674170723729 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (674170722241) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 51721461 + ... + 51734493.

Almost surely, 2674170724241 is an apocalyptic number.

674170724241 is the 821079-th square number.

674170724241 is the 410540-th centered octagonal number.

It is an amenable number.

674170724241 is a deficient number, since it is larger than the sum of its proper divisors (497437308090).

674170724241 is an frugal number, since it uses more digits than its factorization.

674170724241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26092 (or 13043 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 674170724241 in words is "six hundred seventy-four billion, one hundred seventy million, seven hundred twenty-four thousand, two hundred forty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 1323 3969 13033 39099 91231 117297 273693 351891 638617 821079 1055673 1915851 2463237 5747553 7389711 17242659 51727977 169859089 509577267 1189013623 1528731801 3567040869 4586195403 8323095361 10701122607 13758586209 24969286083 32103367821 74907858249 96310103463 224723574747 674170724241