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74062356736 = 287322332
BaseRepresentation
bin100010011111001110…
…1011110000100000000
321002011112101112200111
41010332131132010000
52203134430403421
654005045201104
75231222434204
oct1047635360400
9232145345614
1074062356736
11294562a6895
121242b400194
136ca3c5c934
14382835cb04
151dd70a1ee1
hex113e75e100

74062356736 has 81 divisors (see below), whose sum is σ = 150534349959. Its totient is φ = 36367147008.

The previous prime is 74062356713. The next prime is 74062356743. The reversal of 74062356736 is 63765326047.

The square root of 74062356736 is 272144.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4535214336 + 69527142400 = 67344^2 + 263680^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 74062356736.

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, 317864076 + ... + 317864308.

Almost surely, 274062356736 is an apocalyptic number.

74062356736 is the 272144-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74062356736

74062356736 is an abundant number, since it is smaller than the sum of its proper divisors (76471993223).

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

74062356736 is an frugal number, since it uses more digits than its factorization.

74062356736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 49.

Multiplying 74062356736 by its sum of digits (49), we get a square (3629055480064 = 19050082).

The spelling of 74062356736 in words is "seventy-four billion, sixty-two million, three hundred fifty-six thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 73 128 146 233 256 292 466 584 932 1168 1864 2336 3728 4672 5329 7456 9344 10658 14912 17009 18688 21316 29824 34018 42632 54289 59648 68036 85264 108578 136072 170528 217156 272144 341056 434312 544288 682112 868624 1088576 1241657 1364224 1737248 2177152 2483314 3474496 3963097 4354304 4966628 6948992 7926194 9933256 13897984 15852388 19866512 31704776 39733024 63409552 79466048 126819104 158932096 253638208 289306081 317864192 507276416 578612162 1014552832 1157224324 2314448648 4628897296 9257794592 18515589184 37031178368 74062356736