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530400113136 = 243243741711549
BaseRepresentation
bin1111011011111100100…
…11110111000111110000
31212201001111101110122200
413231332103313013300
532142224412110021
61043355031103200
753214544400655
oct7557623670760
91781044343580
10530400113136
11194a3a044443
1286965b11b00
133b02a393aba
141b958861c2c
15dbe4944126
hex7b7e4f71f0

530400113136 has 120 divisors (see below), whose sum is σ = 1519240522800. Its totient is φ = 172650175488.

The previous prime is 530400113069. The next prime is 530400113167. The reversal of 530400113136 is 631311004035.

530400113136 is a `hidden beast` number, since 530 + 4 + 0 + 0 + 113 + 13 + 6 = 666.

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, 45920290 + ... + 45931838.

It is an arithmetic number, because the mean of its divisors is an integer number (12660337690).

Almost surely, 2530400113136 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 530400113136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759620261400).

530400113136 is an abundant number, since it is smaller than the sum of its proper divisors (988840409664).

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

530400113136 is a wasteful number, since it uses less digits than its factorization.

530400113136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19023 (or 19014 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 530400113136 in words is "five hundred thirty billion, four hundred million, one hundred thirteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 172 258 344 387 516 688 774 1032 1548 2064 3096 6192 7417 11549 14834 22251 23098 29668 34647 44502 46196 59336 66753 69294 89004 92392 103941 118672 133506 138588 178008 184784 207882 267012 277176 318931 356016 415764 496607 534024 554352 637862 831528 956793 993214 1068048 1275724 1489821 1663056 1913586 1986428 2551448 2870379 2979642 3827172 3972856 4469463 5102896 5740758 5959284 7654344 7945712 8938926 11481516 11918568 15308688 17877852 22963032 23837136 35755704 45926064 71511408 85658933 171317866 256976799 342635732 513953598 685271464 770930397 1027907196 1370542928 1541860794 2055814392 3083721588 3683334119 4111628784 6167443176 7366668238 11050002357 12334886352 14733336476 22100004714 29466672952 33150007071 44200009428 58933345904 66300014142 88400018856 132600028284 176800037712 265200056568 530400113136