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42417627186 = 231119142923671
BaseRepresentation
bin100111100000010010…
…011010000000110010
311001111011020201112010
4213200102122000302
51143332403032221
631253020543350
73031101611364
oct474022320062
9131434221463
1042417627186
1116a97710140
1282796b1b56
133cccc005ac
1420a56d8d34
151183d90c76
hex9e049a032

42417627186 has 64 divisors (see below), whose sum is σ = 97490764800. Its totient is φ = 12168273600.

The previous prime is 42417627149. The next prime is 42417627191. The reversal of 42417627186 is 68172671424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1780131 + ... + 1803801.

It is an arithmetic number, because the mean of its divisors is an integer number (1523293200).

Almost surely, 242417627186 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42417627186, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48745382400).

42417627186 is an abundant number, since it is smaller than the sum of its proper divisors (55073137614).

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

42417627186 is a wasteful number, since it uses less digits than its factorization.

42417627186 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25135.

The product of its digits is 903168, while the sum is 48.

The spelling of 42417627186 in words is "forty-two billion, four hundred seventeen million, six hundred twenty-seven thousand, one hundred eighty-six".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 418 627 1254 1429 2858 4287 8574 15719 23671 27151 31438 47157 47342 54302 71013 81453 94314 142026 162906 260381 298661 449749 520762 597322 781143 895983 899498 1349247 1562286 1791966 2698494 4947239 9894478 14841717 29683434 33825859 67651718 101477577 202955154 372084449 642691321 744168898 1116253347 1285382642 1928073963 2232506694 3856147926 7069604531 14139209062 21208813593 42417627186