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713736406464 = 263173111719237
BaseRepresentation
bin10100110001011100000…
…00010100010111000000
32112020021111222010221220
422120232000110113000
543143213010001324
61303515212115040
7102365024232534
oct12305600242700
92466244863856
10713736406464
1125576a65a134
12b63b0a65a80
13523c7286cc3
142678b7a3bc4
1513874ebdb79
hexa62e0145c0

713736406464 has 112 divisors (see below), whose sum is σ = 1901142560928. Its totient is φ = 236312875008.

The previous prime is 713736406459. The next prime is 713736406469. The reversal of 713736406464 is 464604637317.

It is an interprime number because it is at equal distance from previous prime (713736406459) and next prime (713736406469).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (713736406469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37092654 + ... + 37111890.

Almost surely, 2713736406464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 713736406464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950571280464).

713736406464 is an abundant number, since it is smaller than the sum of its proper divisors (1187406154464).

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

713736406464 is a wasteful number, since it uses less digits than its factorization.

713736406464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20542 (or 20532 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 51.

The spelling of 713736406464 in words is "seven hundred thirteen billion, seven hundred thirty-six million, four hundred six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 173 192 346 519 692 1038 1117 1384 2076 2234 2768 3351 4152 4468 5536 6702 8304 8936 11072 13404 16608 17872 19237 26808 33216 35744 38474 53616 57711 71488 76948 107232 115422 153896 193241 214464 230844 307792 386482 461688 579723 615584 772964 923376 1159446 1231168 1545928 1846752 2318892 3091856 3328001 3693504 4637784 6183712 6656002 9275568 9984003 12367424 13312004 18551136 19968006 21487729 26624008 37102272 39936012 42975458 53248016 64463187 79872024 85950916 106496032 128926374 159744048 171901832 212992064 257852748 319488096 343803664 515705496 638976192 687607328 1031410992 1375214656 2062821984 3717377117 4125643968 7434754234 11152131351 14869508468 22304262702 29739016936 44608525404 59478033872 89217050808 118956067744 178434101616 237912135488 356868203232 713736406464