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13963561380 = 22335167154841
BaseRepresentation
bin11010000000100101…
…10000100110100100
31100001010220102012000
431000102300212210
5212044132431010
610225331325300
71003013212326
oct150022604644
940033812160
1013963561380
115a1608037a
122858450830
131416bc1372
1496670d616
1556ad367c0
hex3404b09a4

13963561380 has 96 divisors (see below), whose sum is σ = 43702606080. Its totient is φ = 3701295360.

The previous prime is 13963561369. The next prime is 13963561427. The reversal of 13963561380 is 8316536931.

13963561380 is a `hidden beast` number, since 1 + 3 + 9 + 6 + 3 + 561 + 3 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12760 + ... + 167600.

It is an arithmetic number, because the mean of its divisors is an integer number (455235480).

Almost surely, 213963561380 is an apocalyptic number.

13963561380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13963561380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21851303040).

13963561380 is an abundant number, since it is smaller than the sum of its proper divisors (29739044700).

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

13963561380 is a wasteful number, since it uses less digits than its factorization.

13963561380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155026 (or 155018 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 13963561380 in words is "thirteen billion, nine hundred sixty-three million, five hundred sixty-one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 167 180 270 334 501 540 668 835 1002 1503 1670 2004 2505 3006 3340 4509 5010 6012 7515 9018 10020 15030 18036 22545 30060 45090 90180 154841 309682 464523 619364 774205 929046 1393569 1548410 1858092 2322615 2787138 3096820 4180707 4645230 5574276 6967845 8361414 9290460 13935690 16722828 20903535 25858447 27871380 41807070 51716894 77575341 83614140 103433788 129292235 155150682 232726023 258584470 310301364 387876705 465452046 517168940 698178069 775753410 930904092 1163630115 1396356138 1551506820 2327260230 2792712276 3490890345 4654520460 6981780690 13963561380