Search a number
-
+
42656133114636 = 223297911131139393
BaseRepresentation
bin10011011001011101001111…
…01010010110101100001100
312121000212221020222121000120
421230232213222112230030
521042334230034132021
6230415542415024540
711661542513023206
oct1154564752265414
9177025836877016
1042656133114636
1112656401111288
12494b06480b150
131aa55c1061162
14a767d42bd776
154de8b5a8b2c6
hex26cba7a96b0c

42656133114636 has 96 divisors (see below), whose sum is σ = 104276525337600. Its totient is φ = 13553318338560.

The previous prime is 42656133114619. The next prime is 42656133114677. The reversal of 42656133114636 is 63641133165624.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305943756 + ... + 306083148.

It is an arithmetic number, because the mean of its divisors is an integer number (1086213805600).

Almost surely, 242656133114636 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 42656133114636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52138262668800).

42656133114636 is an abundant number, since it is smaller than the sum of its proper divisors (61620392222964).

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

42656133114636 is a wasteful number, since it uses less digits than its factorization.

42656133114636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150639 (or 150637 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 51.

The spelling of 42656133114636 in words is "forty-two trillion, six hundred fifty-six billion, one hundred thirty-three million, one hundred fourteen thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 12 29 58 79 87 116 158 174 237 316 348 474 948 2291 4582 6873 9164 11131 13746 22262 27492 33393 44524 66786 133572 139393 278786 322799 418179 557572 645598 836358 879349 968397 1291196 1672716 1758698 1936794 2638047 3517396 3873588 4042397 5276094 8084794 10552188 11012047 12127191 16169588 22024094 24254382 25501121 33036141 44048188 48508764 51002242 66072282 76503363 102004484 132144564 153006726 306013452 319349363 638698726 958048089 1277397452 1551583483 1916096178 3103166966 3832192356 4654750449 6206333932 9309500898 18619001796 44995921007 89991842014 122575095157 134987763021 179983684028 245150190314 269975526042 367725285471 490300380628 539951052084 735450570942 1470901141884 3554677759553 7109355519106 10664033278659 14218711038212 21328066557318 42656133114636