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116214135660 = 223257593155537
BaseRepresentation
bin110110000111011100…
…1101111101101101100
3102002222011101202221200
41230032321233231230
53401001304320120
6125215452125500
711252615566020
oct1541671575554
9362864352850
10116214135660
1145316939217
121a633a66890
13ac60a5c05c
1458a6614380
15305292ce90
hex1b0ee6fb6c

116214135660 has 144 divisors (see below), whose sum is σ = 403557650496. Its totient is φ = 26518265856.

The previous prime is 116214135649. The next prime is 116214135671. The reversal of 116214135660 is 66531412611.

116214135660 is a `hidden beast` number, since 1 + 162 + 141 + 356 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (116214135649) and next prime (116214135671).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 669412 + ... + 824948.

It is an arithmetic number, because the mean of its divisors is an integer number (2802483684).

Almost surely, 2116214135660 is an apocalyptic number.

116214135660 is a gapful number since it is divisible by the number (10) 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 116214135660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201778825248).

116214135660 is an abundant number, since it is smaller than the sum of its proper divisors (287343514836).

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

116214135660 is a wasteful number, since it uses less digits than its factorization.

116214135660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156152 (or 156147 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 116214135660 in words is "one hundred sixteen billion, two hundred fourteen million, one hundred thirty-five thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 593 630 1186 1260 1779 2372 2965 3558 4151 5337 5930 7116 8302 8895 10674 11860 12453 16604 17790 20755 21348 24906 26685 35580 37359 41510 49812 53370 62265 74718 83020 106740 124530 149436 155537 186795 249060 311074 373590 466611 622148 747180 777685 933222 1088759 1399833 1555370 1866444 2177518 2333055 2799666 3110740 3266277 4355036 4666110 5443795 5599332 6532554 6999165 9332220 9798831 10887590 13065108 13998330 16331385 19597662 21775180 27996660 32662770 39195324 48994155 65325540 92233441 97988310 184466882 195976620 276700323 368933764 461167205 553400646 645634087 830100969 922334410 1106801292 1291268174 1383501615 1660201938 1844668820 1936902261 2582536348 2767003230 3228170435 3320403876 3873804522 4150504845 5534006460 5810706783 6456340870 7747609044 8301009690 9684511305 11621413566 12912681740 16602019380 19369022610 23242827132 29053533915 38738045220 58107067830 116214135660