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13378361316 = 223291672111091
BaseRepresentation
bin11000111010110100…
…11001011111100100
31021112100202011121120
430131122121133210
5204344330030231
610051304413540
7652346123565
oct143532313744
937470664546
1013378361316
115745810961
1227144772b0
1313528a8038
1490cada16c
1553478dd96
hex31d6997e4

13378361316 has 96 divisors (see below), whose sum is σ = 32669844480. Its totient is φ = 4255708800.

The previous prime is 13378361299. The next prime is 13378361341. The reversal of 13378361316 is 61316387331.

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 31 ways as a sum of consecutive naturals, for example, 12261931 + ... + 12263021.

It is an arithmetic number, because the mean of its divisors is an integer number (340310880).

Almost surely, 213378361316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13378361316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16334922240).

13378361316 is an abundant number, since it is smaller than the sum of its proper divisors (19291483164).

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

13378361316 is a wasteful number, since it uses less digits than its factorization.

13378361316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505 (or 1503 counting only the distinct ones).

The product of its digits is 163296, while the sum is 42.

The spelling of 13378361316 in words is "thirteen billion, three hundred seventy-eight million, three hundred sixty-one thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 12 29 58 87 116 167 174 211 334 348 422 501 633 668 844 1002 1091 1266 2004 2182 2532 3273 4364 4843 6119 6546 9686 12238 13092 14529 18357 19372 24476 29058 31639 35237 36714 58116 63278 70474 73428 94917 105711 126556 140948 182197 189834 211422 230201 364394 379668 422844 460402 546591 690603 728788 920804 1021873 1093182 1381206 2043746 2186364 2762412 3065619 4087492 5283713 6131238 6675829 10567426 12262476 13351658 15851139 20027487 21134852 26703316 31702278 38443567 40054974 63404556 76887134 80109948 115330701 153774268 230661402 461322804 1114863443 2229726886 3344590329 4459453772 6689180658 13378361316