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58318638240 = 2535142385381
BaseRepresentation
bin110110010100000011…
…111100110010100000
312120112022210210000110
4312110003330302200
51423414032410430
642442522451320
74133122150242
oct662403746240
9176468723013
1058318638240
1122807395095
12b376963b40
135665308285
142b73460092
1517b4d317b0
hexd940fcca0

58318638240 has 96 divisors (see below), whose sum is σ = 183834959616. Its totient is φ = 15540526080.

The previous prime is 58318638239. The next prime is 58318638289. The reversal of 58318638240 is 4283681385.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 58318638240.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 640350 + ... + 725730.

It is an arithmetic number, because the mean of its divisors is an integer number (1914947496).

Almost surely, 258318638240 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 58318638240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91917479808).

58318638240 is an abundant number, since it is smaller than the sum of its proper divisors (125516321376).

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

58318638240 is a wasteful number, since it uses less digits than its factorization.

58318638240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86822 (or 86814 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 58318638240 in words is "fifty-eight billion, three hundred eighteen million, six hundred thirty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1423 2846 4269 5692 7115 8538 11384 14230 17076 21345 22768 28460 34152 42690 45536 56920 68304 85380 85381 113840 136608 170760 170762 227680 256143 341520 341524 426905 512286 683040 683048 853810 1024572 1280715 1366096 1707620 2049144 2561430 2732192 3415240 4098288 5122860 6830480 8196576 10245720 13660960 20491440 40982880 121497163 242994326 364491489 485988652 607485815 728982978 971977304 1214971630 1457965956 1822457445 1943954608 2429943260 2915931912 3644914890 3887909216 4859886520 5831863824 7289829780 9719773040 11663727648 14579659560 19439546080 29159319120 58318638240