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13931709504 = 263293180713
BaseRepresentation
bin11001111100110010…
…10000010001000000
31022221220222011121220
430332121100101000
5212013004201004
610222232515040
71002145401606
oct147631202100
938856864556
1013931709504
1159aa0a5609
12284984ba80
13141041b4bb
149623bb876
15568143dd9
hex33e650440

13931709504 has 112 divisors (see below), whose sum is σ = 39362603520. Its totient is φ = 4339077120.

The previous prime is 13931709499. The next prime is 13931709509. The reversal of 13931709504 is 40590713931.

It is an interprime number because it is at equal distance from previous prime (13931709499) and next prime (13931709509).

It is not an unprimeable number, because it can be changed into a prime (13931709509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132252 + ... + 212964.

Almost surely, 213931709504 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 13931709504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19681301760).

13931709504 is an abundant number, since it is smaller than the sum of its proper divisors (25430894016).

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

13931709504 is a wasteful number, since it uses less digits than its factorization.

13931709504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80788 (or 80778 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 42.

The spelling of 13931709504 in words is "thirteen billion, nine hundred thirty-one million, seven hundred nine thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 29 31 32 48 58 62 64 87 93 96 116 124 174 186 192 232 248 348 372 464 496 696 744 899 928 992 1392 1488 1798 1856 1984 2697 2784 2976 3596 5394 5568 5952 7192 10788 14384 21576 28768 43152 57536 80713 86304 161426 172608 242139 322852 484278 645704 968556 1291408 1937112 2340677 2502103 2582816 3874224 4681354 5004206 5165632 7022031 7506309 7748448 9362708 10008412 14044062 15012618 15496896 18725416 20016824 28088124 30025236 37450832 40033648 56176248 60050472 72560987 74901664 80067296 112352496 120100944 145121974 149803328 160134592 217682961 224704992 240201888 290243948 435365922 449409984 480403776 580487896 870731844 1160975792 1741463688 2321951584 3482927376 4643903168 6965854752 13931709504