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13856963016 = 2331329673533
BaseRepresentation
bin11001110011111000…
…00111100111001000
31022202201022122201110
430321330013213020
5211334340304031
610211002450320
71000250146041
oct147174074710
938681278643
1013856963016
115970992456
1228288039a0
1313caaaa400
149564c18c8
155617cbc46
hex339f079c8

13856963016 has 96 divisors (see below), whose sum is σ = 37561613760. Its totient is φ = 4258066176.

The previous prime is 13856963011. The next prime is 13856963051. The reversal of 13856963016 is 61036965831.

It is not an unprimeable number, because it can be changed into a prime (13856963011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3920386 + ... + 3923918.

It is an arithmetic number, because the mean of its divisors is an integer number (391266810).

Almost surely, 213856963016 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 13856963016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18780806880).

13856963016 is an abundant number, since it is smaller than the sum of its proper divisors (23704650744).

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

13856963016 is a wasteful number, since it uses less digits than its factorization.

13856963016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4535 (or 4518 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The spelling of 13856963016 in words is "thirteen billion, eight hundred fifty-six million, nine hundred sixty-three thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 312 338 507 676 967 1014 1352 1934 2028 2901 3533 3868 4056 5802 7066 7736 10599 11604 12571 14132 21198 23208 25142 28264 37713 42396 45929 50284 75426 84792 91858 100568 137787 150852 163423 183716 275574 301704 326846 367432 490269 551148 597077 653692 980538 1102296 1194154 1307384 1791231 1961076 2388308 3416411 3582462 3922152 4776616 6832822 7164924 10249233 13665644 14329848 20498466 27331288 40996932 44413343 81993864 88826686 133240029 177653372 266480058 355306744 532960116 577373459 1065920232 1154746918 1732120377 2309493836 3464240754 4618987672 6928481508 13856963016