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42016356116 = 22719232149297
BaseRepresentation
bin100111001000010111…
…101011011100010100
311000110012012001002122
4213020113223130110
51142022141343431
631145124155112
73015130064030
oct471027533424
9130405161078
1042016356116
1116901157259
128187238a98
133c67a355a7
1420682c31c0
15115da2aa7b
hex9c85eb714

42016356116 has 72 divisors (see below), whose sum is σ = 92469209280. Its totient is φ = 16317455616.

The previous prime is 42016356089. The next prime is 42016356127. The reversal of 42016356116 is 61165361024.

42016356116 is digitally balanced in base 2, 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, 206780 + ... + 356076.

Almost surely, 242016356116 is an apocalyptic number.

42016356116 is a gapful number since it is divisible by the number (46) 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 42016356116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46234604640).

42016356116 is an abundant number, since it is smaller than the sum of its proper divisors (50452853164).

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

42016356116 is a wasteful number, since it uses less digits than its factorization.

42016356116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149373 (or 149348 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The spelling of 42016356116 in words is "forty-two billion, sixteen million, three hundred fifty-six thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 19 23 28 38 46 76 92 133 161 266 322 437 529 532 644 874 1058 1748 2116 3059 3703 6118 7406 10051 12236 14812 20102 40204 70357 140714 149297 281428 298594 597188 1045079 2090158 2836643 3433831 4180316 5673286 6867662 11346572 13735324 19856501 24036817 39713002 48073634 65242789 78978113 79426004 96147268 130485578 157956226 260971156 315912452 456699523 552846791 913399046 1105693582 1500584147 1826798092 2211387164 3001168294 6002336588 10504089029 21008178058 42016356116