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442885676994 = 23337409541967
BaseRepresentation
bin1100111000111100000…
…10110001111111000010
31120100011110112111011000
412130132002301333002
524224012213130434
6535243041032430
743666056066165
oct6343602617702
91510143474130
10442885676994
11160910467262
1271a01625716
13329c14b8187
1417615ad7adc
15b7c18e0b99
hex671e0b1fc2

442885676994 has 64 divisors (see below), whose sum is σ = 1013263372800. Its totient is φ = 143287138944.

The previous prime is 442885676993. The next prime is 442885677043. The reversal of 442885676994 is 499676588244.

442885676994 is a `hidden beast` number, since 4 + 428 + 8 + 56 + 7 + 69 + 94 = 666.

It is a super-2 number, since 2×4428856769942 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (442885676993) 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, 546199 + ... + 1088165.

It is an arithmetic number, because the mean of its divisors is an integer number (15832240200).

Almost surely, 2442885676994 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442885676994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506631686400).

442885676994 is an abundant number, since it is smaller than the sum of its proper divisors (570377695806).

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

442885676994 is a wasteful number, since it uses less digits than its factorization.

442885676994 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542424 (or 542418 counting only the distinct ones).

The product of its digits is 836075520, while the sum is 72.

The spelling of 442885676994 in words is "four hundred forty-two billion, eight hundred eighty-five million, six hundred seventy-six thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 9 18 27 37 54 74 111 222 333 409 666 818 999 1227 1998 2454 3681 7362 11043 15133 22086 30266 45399 90798 136197 272394 408591 541967 817182 1083934 1625901 3251802 4877703 9755406 14633109 20052779 29266218 40105558 60158337 120316674 180475011 221664503 360950022 443329006 541425033 664993509 1082850066 1329987018 1994980527 3989961054 5984941581 8201586611 11969883162 16403173222 24604759833 49209519666 73814279499 147628558998 221442838497 442885676994