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51351312240 = 24325186738201
BaseRepresentation
bin101111110100110001…
…101101011101110000
311220112202112221112100
4233310301231131300
51320131413442430
635331312500400
73465350644404
oct576461553560
9156482487470
1051351312240
111a861527a28
129b5154a700
134ac4a02477
1426b1dab104
15150831d960
hexbf4c6d770

51351312240 has 120 divisors (see below), whose sum is σ = 172551710448. Its totient is φ = 13685990400.

The previous prime is 51351312193. The next prime is 51351312263. The reversal of 51351312240 is 4221315315.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1325140 + ... + 1363340.

Almost surely, 251351312240 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 51351312240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86275855224).

51351312240 is an abundant number, since it is smaller than the sum of its proper divisors (121200398208).

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

51351312240 is a wasteful number, since it uses less digits than its factorization.

51351312240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40087 (or 40078 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 51351312240 its reverse (4221315315), we get a palindrome (55572627555).

The spelling of 51351312240 in words is "fifty-one billion, three hundred fifty-one million, three hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1867 3734 5601 7468 9335 11202 14936 16803 18670 22404 28005 29872 33606 37340 38201 44808 56010 67212 74680 76402 84015 89616 112020 114603 134424 149360 152804 168030 191005 224040 229206 268848 305608 336060 343809 382010 448080 458412 573015 611216 672120 687618 764020 916824 1146030 1344240 1375236 1528040 1719045 1833648 2292060 2750472 3056080 3438090 4584120 5500944 6876180 9168240 13752360 27504720 71321267 142642534 213963801 285285068 356606335 427927602 570570136 641891403 713212670 855855204 1069819005 1141140272 1283782806 1426425340 1711710408 2139638010 2567565612 2852850680 3209457015 3423420816 4279276020 5135131224 5705701360 6418914030 8558552040 10270262448 12837828060 17117104080 25675656120 51351312240