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10420938888 = 23343471811187
BaseRepresentation
bin10011011010010001…
…01110100010001000
3222220020211112201120
421231020232202020
5132320230021023
64442020515240
7516145343013
oct115510564210
928806745646
1010420938888
114468391698
122029b4bb20
13ca0c80639
1470c01837a
1540ed0a8e3
hex26d22e888

10420938888 has 128 divisors (see below), whose sum is σ = 27398891520. Its totient is φ = 3299546880.

The previous prime is 10420938887. The next prime is 10420938907. The reversal of 10420938888 is 88883902401.

It is a happy number.

It is a Cunningham number, because it is equal to 1020832-1.

It is a self number, because there is not a number n which added to its sum of digits gives 10420938888.

It is not an unprimeable number, because it can be changed into a prime (10420938887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8778631 + ... + 8779817.

It is an arithmetic number, because the mean of its divisors is an integer number (214053840).

Almost surely, 210420938888 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 10420938888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13699445760).

10420938888 is an abundant number, since it is smaller than the sum of its proper divisors (16977952632).

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

10420938888 is a wasteful number, since it uses less digits than its factorization.

10420938888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1467 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 51.

The spelling of 10420938888 in words is "ten billion, four hundred twenty million, nine hundred thirty-eight thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 24 43 47 86 94 129 141 172 181 188 258 282 344 362 376 516 543 564 724 1032 1086 1128 1187 1448 2021 2172 2374 3561 4042 4344 4748 6063 7122 7783 8084 8507 9496 12126 14244 15566 16168 17014 23349 24252 25521 28488 31132 34028 46698 48504 51041 51042 55789 62264 68056 93396 102082 102084 111578 153123 167367 186792 204164 204168 214847 223156 306246 334734 365801 408328 429694 446312 612492 644541 669468 731602 859388 1097403 1224984 1289082 1338936 1463204 1718776 2194806 2398927 2578164 2926408 4389612 4797854 5156328 7196781 8779224 9238421 9595708 10097809 14393562 18476842 19191416 20195618 27715263 28787124 30293427 36953684 40391236 55430526 57574248 60586854 73907368 80782472 110861052 121173708 221722104 242347416 434205787 868411574 1302617361 1736823148 2605234722 3473646296 5210469444 10420938888