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12823740504 = 233453675573
BaseRepresentation
bin10111111000101101…
…01100000001011000
31020002201010111220000
423330112230001120
5202230334144004
65520253133000
7632532665361
oct137426540130
936081114800
1012823740504
115490738053
12259a78a160
131294a0a543
148991a6b68
15500c36c39
hex2fc5ac058

12823740504 has 160 divisors (see below), whose sum is σ = 37148926320. Its totient is φ = 4130590464.

The previous prime is 12823740499. The next prime is 12823740541. The reversal of 12823740504 is 40504732821.

It is a happy number.

12823740504 is a `hidden beast` number, since 1 + 2 + 82 + 3 + 74 + 0 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2298262 + ... + 2303834.

Almost surely, 212823740504 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 12823740504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18574463160).

12823740504 is an abundant number, since it is smaller than the sum of its proper divisors (24325185816).

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

12823740504 is a wasteful number, since it uses less digits than its factorization.

12823740504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5711 (or 5698 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 12823740504 in words is "twelve billion, eight hundred twenty-three million, seven hundred forty thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 67 72 81 106 108 134 159 162 201 212 216 268 318 324 402 424 477 536 603 636 648 804 954 1206 1272 1431 1608 1809 1908 2412 2862 3551 3618 3816 4293 4824 5427 5573 5724 7102 7236 8586 10653 10854 11146 11448 14204 14472 16719 17172 21306 21708 22292 28408 31959 33438 34344 42612 43416 44584 50157 63918 66876 85224 95877 100314 127836 133752 150471 191754 200628 255672 287631 295369 300942 373391 383508 401256 451413 575262 590738 601884 746782 767016 886107 902826 1120173 1150524 1181476 1203768 1493564 1772214 1805652 2240346 2301048 2362952 2658321 2987128 3360519 3544428 3611304 4480692 5316642 6721038 7088856 7974963 8961384 10081557 10633284 13442076 15949926 19789723 20163114 21266568 23924889 26884152 30244671 31899852 39579446 40326228 47849778 59369169 60489342 63799704 79158892 80652456 95699556 118738338 120978684 158317784 178107507 191399112 237476676 241957368 356215014 474953352 534322521 712430028 1068645042 1424860056 1602967563 2137290084 3205935126 4274580168 6411870252 12823740504