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84275859444 = 2237432737433
BaseRepresentation
bin100111001111100111…
…0111000111111110100
322001112022220020110120
41032133032320333310
52340044110000234
6102414340051540
76042301662060
oct1163716707764
9261468806416
1084275859444
1132817586617
12143bb993bb0
137c40c5136a
1441169baaa0
1522d3a85049
hex139f3b8ff4

84275859444 has 144 divisors (see below), whose sum is σ = 233266787712. Its totient is φ = 23193547776.

The previous prime is 84275859391. The next prime is 84275859523. The reversal of 84275859444 is 44495857248.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11334352 + ... + 11341784.

It is an arithmetic number, because the mean of its divisors is an integer number (1619908248).

Almost surely, 284275859444 is an apocalyptic number.

84275859444 is a gapful number since it is divisible by the number (84) 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 84275859444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116633393856).

84275859444 is an abundant number, since it is smaller than the sum of its proper divisors (148990928268).

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

84275859444 is a wasteful number, since it uses less digits than its factorization.

84275859444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7606 (or 7561 counting only the distinct ones).

The product of its digits is 51609600, while the sum is 60.

The spelling of 84275859444 in words is "eighty-four billion, two hundred seventy-five million, eight hundred fifty-nine thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 73 84 86 129 146 172 219 258 292 301 438 511 516 602 876 903 1022 1204 1533 1806 1849 2044 3066 3139 3612 3698 5547 6132 6278 7396 7433 9417 11094 12556 12943 14866 18834 21973 22188 22299 25886 29732 37668 38829 43946 44598 51772 52031 65919 77658 87892 89196 104062 131838 134977 155316 156093 208124 263676 269954 312186 319619 404931 539908 542609 624372 639238 809862 944839 958857 1085218 1278476 1619724 1627827 1889678 1917714 2170436 2237333 2834517 3255654 3779356 3798263 3835428 4474666 5669034 6511308 6711999 7596526 8949332 11338068 11394789 13423998 13743617 15193052 22789578 23332187 26847996 27487234 41230851 45579156 46664374 54974468 69996561 82461702 93328748 96205319 139993122 163325309 164923404 192410638 279986244 288615957 326650618 384821276 489975927 577231914 653301236 979951854 1003284041 1154463828 1959903708 2006568082 3009852123 4013136164 6019704246 7022988287 12039408492 14045976574 21068964861 28091953148 42137929722 84275859444