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42235191852 = 22374318676263
BaseRepresentation
bin100111010101011010…
…011110001000101100
311001000102222001021220
4213111122132020230
51142444202114402
631222542423340
73023425131060
oct472532361054
9131012861256
1042235191852
1116a03734837
128228591b50
133ca11860a9
1420893a9aa0
151172d55dbc
hex9d569e22c

42235191852 has 96 divisors (see below), whose sum is σ = 115326554112. Its totient is φ = 11778371136.

The previous prime is 42235191851. The next prime is 42235191857. The reversal of 42235191852 is 25819153224.

42235191852 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×422351918522 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (42235191851) 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, 6740473 + ... + 6746735.

It is an arithmetic number, because the mean of its divisors is an integer number (1201318272).

Almost surely, 242235191852 is an apocalyptic number.

42235191852 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42235191852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57663277056).

42235191852 is an abundant number, since it is smaller than the sum of its proper divisors (73091362260).

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

42235191852 is a wasteful number, since it uses less digits than its factorization.

42235191852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8187 (or 8185 counting only the distinct ones).

The product of its digits is 172800, while the sum is 42.

The spelling of 42235191852 in words is "forty-two billion, two hundred thirty-five million, one hundred ninety-one thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 84 86 129 172 258 301 516 602 903 1204 1806 1867 3612 3734 5601 6263 7468 11202 12526 13069 18789 22404 25052 26138 37578 39207 43841 52276 75156 78414 80281 87682 131523 156828 160562 175364 240843 263046 269309 321124 481686 526092 538618 561967 807927 963372 1077236 1123934 1615854 1685901 1885163 2247868 3231708 3371802 3770326 5655489 6743604 7540652 11310978 11693021 22621956 23386042 35079063 46772084 70158126 81851147 140316252 163702294 245553441 327404588 491106882 502799903 982213764 1005599806 1508399709 2011199612 3016799418 3519599321 6033598836 7039198642 10558797963 14078397284 21117595926 42235191852