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42838422674364 = 22327329535520071
BaseRepresentation
bin10011011110110000110001…
…11101110101101110111100
312121200022110022221200202200
421233120120331311232330
521103331042201034424
6231035411044551500
712010655022512442
oct1157303075655674
9177608408850680
1042838422674364
1112716744893589
12497a4590b2590
131ab9852133775
14a815681cab92
154e44d42a28c9
hex26f618f75bbc

42838422674364 has 72 divisors (see below), whose sum is σ = 109806574960992. Its totient is φ = 14079093096960.

The previous prime is 42838422674357. The next prime is 42838422674387. The reversal of 42838422674364 is 46347622483824.

42838422674364 is a `hidden beast` number, since 4 + 2 + 8 + 3 + 8 + 4 + 2 + 267 + 4 + 364 = 666.

42838422674364 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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, 5000449 + ... + 10520519.

Almost surely, 242838422674364 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 42838422674364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54903287480496).

42838422674364 is an abundant number, since it is smaller than the sum of its proper divisors (66968152286628).

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

42838422674364 is a wasteful number, since it uses less digits than its factorization.

42838422674364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5523107 (or 5523102 counting only the distinct ones).

The product of its digits is 297271296, while the sum is 63.

The spelling of 42838422674364 in words is "forty-two trillion, eight hundred thirty-eight billion, four hundred twenty-two million, six hundred seventy-four thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1314 2628 2953 5906 8859 11812 17718 26577 35436 53154 106308 215569 431138 646707 862276 1293414 1940121 2586828 3880242 5520071 7760484 11040142 16560213 22080284 33120426 49680639 66240852 99361278 198722556 402965183 805930366 1208895549 1611860732 2417791098 3626686647 4835582196 7253373294 14506746588 16300769663 32601539326 48902308989 65203078652 97804617978 146706926967 195609235956 293413853934 586827707868 1189956185399 2379912370798 3569868556197 4759824741596 7139737112394 10709605668591 14279474224788 21419211337182 42838422674364