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13861539216 = 2432765321059
BaseRepresentation
bin11001110100011011…
…00100110110010000
31022210000221011002100
430322031210312100
5211342023223331
610211244520400
71000334065530
oct147215446620
938700834070
1013861539216
115973528638
12282a250100
1313cba20315
14956d534c0
15561dd2ae6
hex33a364d90

13861539216 has 120 divisors (see below), whose sum is σ = 44404925760. Its totient is φ = 3954187008.

The previous prime is 13861539163. The next prime is 13861539217. The reversal of 13861539216 is 61293516831.

13861539216 is a `hidden beast` number, since 1 + 3 + 8 + 615 + 3 + 9 + 21 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (13861539217) 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, 647695 + ... + 668753.

It is an arithmetic number, because the mean of its divisors is an integer number (370041048).

Almost surely, 213861539216 is an apocalyptic number.

13861539216 is a gapful number since it is divisible by the number (16) 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 13861539216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22202462880).

13861539216 is an abundant number, since it is smaller than the sum of its proper divisors (30543386544).

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

13861539216 is a wasteful number, since it uses less digits than its factorization.

13861539216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21733 (or 21724 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The spelling of 13861539216 in words is "thirteen billion, eight hundred sixty-one million, five hundred thirty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 653 1008 1306 1959 2612 3918 4571 5224 5877 7836 9142 10448 11754 13713 15672 18284 21059 23508 27426 31344 36568 41139 42118 47016 54852 63177 73136 82278 84236 94032 109704 126354 147413 164556 168472 189531 219408 252708 294826 329112 336944 379062 442239 505416 589652 658224 758124 884478 1010832 1179304 1326717 1516248 1768956 2358608 2653434 3032496 3537912 5306868 7075824 10613736 13751527 21227472 27503054 41254581 55006108 82509162 96260689 110012216 123763743 165018324 192521378 220024432 247527486 288782067 330036648 385042756 495054972 577564134 660073296 770085512 866346201 990109944 1155128268 1540171024 1732692402 1980219888 2310256536 3465384804 4620513072 6930769608 13861539216