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201116850966 = 2361710775833
BaseRepresentation
bin1011101101001101111…
…1111001101100010110
3201020010011211121000000
42323103133321230112
511243341403212331
6232220344032130
720346602012163
oct2732337715426
9636104747000
10201116850966
1178325245929
1232b89762646
1315c7181cb35
149a3c56906a
1553715380e6
hex2ed37f9b16

201116850966 has 112 divisors (see below), whose sum is σ = 483394429584. Its totient is φ = 62504980992.

The previous prime is 201116850929. The next prime is 201116850971. The reversal of 201116850966 is 669058611102.

201116850966 is a `hidden beast` number, since 20 + 1 + 1 + 1 + 68 + 509 + 66 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2614186 + ... + 2690018.

Almost surely, 2201116850966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201116850966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241697214792).

201116850966 is an abundant number, since it is smaller than the sum of its proper divisors (282277578618).

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

201116850966 is a wasteful number, since it uses less digits than its factorization.

201116850966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75977 (or 75962 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 201116850966 in words is "two hundred one billion, one hundred sixteen million, eight hundred fifty thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 107 153 162 214 243 306 321 459 486 642 729 918 963 1377 1458 1819 1926 2754 2889 3638 4131 5457 5778 8262 8667 10914 12393 16371 17334 24786 26001 32742 49113 52002 75833 78003 98226 147339 151666 156006 227499 294678 442017 454998 682497 884034 1289161 1326051 1364994 2047491 2578322 2652102 3867483 4094982 6142473 7734966 8114131 11602449 12284946 16228262 18427419 23204898 24342393 34807347 36854838 48684786 55282257 69614694 73027179 104422041 110564514 137940227 146054358 208844082 219081537 275880454 313266123 413820681 438163074 626532246 657244611 827641362 939798369 1241462043 1314489222 1879596738 1971733833 2482924086 3724386129 3943467666 5915201499 7448772258 11173158387 11830402998 22346316774 33519475161 67038950322 100558425483 201116850966