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13152968145960 = 2335719152445157
BaseRepresentation
bin1011111101100110100111…
…1111100111110000101000
31201120102002222001110221220
42333121221333213300220
53210444234321132320
643550220134502040
72525161545365406
oct277315177476050
951512088043856
1013152968145960
114211162691935
121585172504920
13745420148256
1433686da8a476
1517c213b16e40
hexbf669fe7c28

13152968145960 has 64 divisors (see below), whose sum is σ = 39513784953600. Its totient is φ = 3502579904256.

The previous prime is 13152968145907. The next prime is 13152968145971. The reversal of 13152968145960 is 6954186925131.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 13152968145894 and 13152968145903.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76136299 + ... + 76308858.

It is an arithmetic number, because the mean of its divisors is an integer number (617402889900).

Almost surely, 213152968145960 is an apocalyptic number.

13152968145960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13152968145960 is an abundant number, since it is smaller than the sum of its proper divisors (26360816807640).

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

13152968145960 is a wasteful number, since it uses less digits than its factorization.

13152968145960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152445890 (or 152445886 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 60.

The spelling of 13152968145960 in words is "thirteen trillion, one hundred fifty-two billion, nine hundred sixty-eight million, one hundred forty-five thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 719 1438 2157 2876 3595 4314 5752 7190 8628 10785 14380 17256 21570 28760 43140 86280 152445157 304890314 457335471 609780628 762225785 914670942 1219561256 1524451570 1829341884 2286677355 3048903140 3658683768 4573354710 6097806280 9146709420 18293418840 109608067883 219216135766 328824203649 438432271532 548040339415 657648407298 876864543064 1096080678830 1315296814596 1644121018245 2192161357660 2630593629192 3288242036490 4384322715320 6576484072980 13152968145960