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61331141974804 = 221317612294966649
BaseRepresentation
bin11011111000111110001001…
…11011100101101100010100
322001011012101201212012111121
431330133010323211230110
531014322134321143204
6334235045422413324
715630012605143432
oct1574370473455424
9261135351765447
1061331141974804
11185a6433821959
126a66477431244
13282b66a7c7050
14112062bc73d52
1571556c9c9b54
hex37c7c4ee5b14

61331141974804 has 96 divisors (see below), whose sum is σ = 124934292756000. Its totient is φ = 26090397941760.

The previous prime is 61331141974799. The next prime is 61331141974813. The reversal of 61331141974804 is 40847914113316.

It can be written as a sum of positive squares in 16 ways, for example, as 7100466208900 + 54230675765904 = 2664670^2 + 7364148^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9865272 + ... + 14831920.

It is an arithmetic number, because the mean of its divisors is an integer number (1301398882875).

Almost surely, 261331141974804 is an apocalyptic number.

It is an amenable number.

61331141974804 is an abundant number, since it is smaller than the sum of its proper divisors (63603150781196).

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

61331141974804 is a wasteful number, since it uses less digits than its factorization.

61331141974804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4966973 (or 4966971 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 52.

The spelling of 61331141974804 in words is "sixty-one trillion, three hundred thirty-one billion, one hundred forty-one million, nine hundred seventy-four thousand, eight hundred four".

Divisors: 1 2 4 13 17 26 34 52 61 68 122 221 229 244 442 458 793 884 916 1037 1586 2074 2977 3172 3893 4148 5954 7786 11908 13481 13969 15572 26962 27938 50609 53924 55876 101218 181597 202436 237473 363194 474946 726388 949892 3087149 4966649 6174298 9933298 12348596 19866596 64566437 84433033 129132874 168866066 258265748 302965589 337732132 605931178 1097629429 1137362621 1211862356 2195258858 2274725242 3938552657 4390517716 4549450484 5150415013 7877105314 10300830026 14785714073 15754210628 19335164557 20601660052 29571428146 38670329114 59142856292 66955395169 69379119881 77340658228 133910790338 138758239762 251357139241 267821580676 277516479524 502714278482 901928558453 1005428556964 1179445037977 1803857116906 2358890075954 3607714233812 4717780151908 15332785493701 30665570987402 61331141974804