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116016060000654 = 2321129191310561849
BaseRepresentation
bin11010011000010000011000…
…000010110110100110001110
3120012210000201200210220020100
4122120100120002312212032
5110201301342330010104
61050425013040231530
733302612056010262
oct3230203002664616
9505700650726210
10116016060000654
1133a6a153379860
121101883390b5a6
134c97362964808
1420912c8a400a2
15d62c9d594139
hex6984180b698e

116016060000654 has 96 divisors (see below), whose sum is σ = 283823947836000. Its totient is φ = 33926345671680.

The previous prime is 116016060000637. The next prime is 116016060000671. The reversal of 116016060000654 is 456000060610611.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (116016060000637) and next prime (116016060000671).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5703522 + ... + 16265370.

It is an arithmetic number, because the mean of its divisors is an integer number (2956499456625).

Almost surely, 2116016060000654 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116016060000654, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141911973918000).

116016060000654 is an abundant number, since it is smaller than the sum of its proper divisors (167807887835346).

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

116016060000654 is a wasteful number, since it uses less digits than its factorization.

116016060000654 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10563810 (or 10563807 counting only the distinct ones).

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

The spelling of 116016060000654 in words is "one hundred sixteen trillion, sixteen billion, sixty million, six hundred fifty-four", and thus it is an aban number.

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 99 174 198 261 319 522 638 957 1913 1914 2871 3826 5739 5742 11478 17217 21043 34434 42086 55477 63129 110954 126258 166431 189387 332862 378774 499293 610247 998586 1220494 1830741 3661482 5492223 10561849 10984446 21123698 31685547 63371094 95056641 116180339 190113282 232360678 306293621 348541017 612587242 697082034 918880863 1045623051 1837761726 2091246102 2756642589 3369229831 5513285178 6738459662 10107689493 20204817137 20215378986 30323068479 40409634274 60614451411 60646136958 121228902822 181843354233 222252988507 363686708466 444505977014 585939696973 666758965521 1171879393946 1333517931042 1757819090919 2000276896563 3515638181838 4000553793126 5273457272757 6445336666703 10546914545514 12890673333406 19336010000109 38672020000218 58008030000327 116016060000654