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1152212082966 = 232753617279641
BaseRepresentation
bin10000110001000101001…
…100010010000100010110
311002011001122022101201100
4100301011030102010112
5122334212243123331
62241152515410530
7146146614052530
oct20610514220426
94064048271640
101152212082966
1140471775678a
121673815b3a46
1384864c1a319
143daa58dc850
151ee8964cae6
hex10c45312116

1152212082966 has 96 divisors (see below), whose sum is σ = 2911650401088. Its totient is φ = 322467425280.

The previous prime is 1152212082961. The next prime is 1152212083037. The reversal of 1152212082966 is 6692802122511.

1152212082966 is a `hidden beast` number, since 1 + 152 + 2 + 1 + 208 + 296 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1152212082961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3980506 + ... + 4260146.

It is an arithmetic number, because the mean of its divisors is an integer number (30329691678).

Almost surely, 21152212082966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1152212082966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455825200544).

1152212082966 is an abundant number, since it is smaller than the sum of its proper divisors (1759438318122).

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

1152212082966 is a wasteful number, since it uses less digits than its factorization.

1152212082966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280326 (or 280323 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 1152212082966 in words is "one trillion, one hundred fifty-two billion, two hundred twelve million, eighty-two thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 53 63 106 126 159 318 371 477 617 742 954 1113 1234 1851 2226 3339 3702 4319 5553 6678 8638 11106 12957 25914 32701 38871 65402 77742 98103 196206 228907 279641 294309 457814 559282 588618 686721 838923 1373442 1677846 1957487 2060163 2516769 3914974 4120326 5033538 5872461 11744922 14820973 17617383 29641946 35234766 44462919 88925838 103746811 133388757 172538497 207493622 266777514 311240433 345076994 517615491 622480866 933721299 1035230982 1207769479 1552846473 1867442598 2415538958 3105692946 3623308437 7246616874 9144540341 10869925311 18289080682 21739850622 27433621023 54867242046 64011782387 82300863069 128023564774 164601726138 192035347161 384070694322 576106041483 1152212082966