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42623749656 = 23324367205483
BaseRepresentation
bin100111101100100100…
…101100111000011000
311002000112002211101200
4213230210230320120
51144243134442111
631325302514200
73036153615465
oct475444547030
9132015084350
1042623749656
1117092aa4a94
128316735960
13403381c557
1420c4c3266c
151197009256
hex9ec92ce18

42623749656 has 96 divisors (see below), whose sum is σ = 119887584960. Its totient is φ = 13670306496.

The previous prime is 42623749643. The next prime is 42623749657. The reversal of 42623749656 is 65694732624.

42623749656 is a `hidden beast` number, since 4 + 2 + 623 + 7 + 4 + 9 + 6 + 5 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42623749657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104691 + ... + 310173.

It is an arithmetic number, because the mean of its divisors is an integer number (1248829010).

Almost surely, 242623749656 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 42623749656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59943792480).

42623749656 is an abundant number, since it is smaller than the sum of its proper divisors (77263835304).

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

42623749656 is a wasteful number, since it uses less digits than its factorization.

42623749656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205605 (or 205598 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

The spelling of 42623749656 in words is "forty-two billion, six hundred twenty-three million, seven hundred forty-nine thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 67 72 86 129 134 172 201 258 268 344 387 402 516 536 603 774 804 1032 1206 1548 1608 2412 2881 3096 4824 5762 8643 11524 17286 23048 25929 34572 51858 69144 103716 205483 207432 410966 616449 821932 1232898 1643864 1849347 2465796 3698694 4931592 7397388 8835769 13767361 14794776 17671538 26507307 27534722 35343076 41302083 53014614 55069444 70686152 79521921 82604166 106029228 110138888 123906249 159043842 165208332 212058456 247812498 318087684 330416664 495624996 591996523 636175368 991249992 1183993046 1775989569 2367986092 3551979138 4735972184 5327968707 7103958276 10655937414 14207916552 21311874828 42623749656