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42886268824 = 2372294318753
BaseRepresentation
bin100111111100001110…
…001000011110011000
311002200211002011222211
4213330032020132120
51200312341100244
631411321324504
73045522161500
oct477416103630
9132624064884
1042886268824
11172081a9583
12838a636734
134076026339
14210ba4aa00
1511b00b2934
hex9fc388798

42886268824 has 96 divisors (see below), whose sum is σ = 97001323200. Its totient is φ = 17702845440.

The previous prime is 42886268819. The next prime is 42886268897.

42886268824 is nontrivially palindromic in base 10.

42886268824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (58).

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, 4895232 + ... + 4903984.

It is an arithmetic number, because the mean of its divisors is an integer number (1010430450).

Almost surely, 242886268824 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 42886268824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48500661600).

42886268824 is an abundant number, since it is smaller than the sum of its proper divisors (54115054376).

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

42886268824 is a wasteful number, since it uses less digits than its factorization.

42886268824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9233 (or 9222 counting only the distinct ones).

The product of its digits is 18874368, while the sum is 58.

The spelling of 42886268824 in words is "forty-two billion, eight hundred eighty-six million, two hundred sixty-eight thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 29 49 56 58 98 116 196 203 232 392 406 431 812 862 1421 1624 1724 2842 3017 3448 5684 6034 8753 11368 12068 12499 17506 21119 24136 24998 35012 42238 49996 61271 70024 84476 87493 99992 122542 168952 174986 245084 253837 349972 428897 490168 507674 612451 699944 857794 1015348 1224902 1715588 1776859 2030696 2449804 3431176 3553718 3772543 4899608 7107436 7545086 12438013 14214872 15090172 24876026 26407801 30180344 49752052 52815602 99504104 105631204 109403747 184854607 211262408 218807494 369709214 437614988 739418428 765826229 875229976 1478836856 1531652458 3063304916 5360783603 6126609832 10721567206 21443134412 42886268824