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13933470912 = 2631724117713
BaseRepresentation
bin11001111100111111…
…11110010011000000
31022222001021122211020
430332133332103000
5212013432032122
610222334345440
71002166356114
oct147637762300
938861248736
1013933470912
115a00098a19
12284a35b280
1314108b715a
14962719744
15568390c5c
hex33e7fe4c0

13933470912 has 112 divisors (see below), whose sum is σ = 39198389472. Its totient is φ = 4352901120.

The previous prime is 13933470853. The next prime is 13933470913. The reversal of 13933470912 is 21907433931.

It is a super-2 number, since 2×139334709122 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13933470913) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 777768 + ... + 795480.

Almost surely, 213933470912 is an apocalyptic number.

13933470912 is a gapful number since it is divisible by the number (12) 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 13933470912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19599194736).

13933470912 is an abundant number, since it is smaller than the sum of its proper divisors (25264918560).

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

13933470912 is a wasteful number, since it uses less digits than its factorization.

13933470912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17986 (or 17976 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 42.

The spelling of 13933470912 in words is "thirteen billion, nine hundred thirty-three million, four hundred seventy thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 241 272 408 482 544 723 816 964 1088 1446 1632 1928 2892 3264 3856 4097 5784 7712 8194 11568 12291 15424 16388 17713 23136 24582 32776 35426 46272 49164 53139 65552 70852 98328 106278 131104 141704 196656 212556 262208 283408 301121 393312 425112 566816 602242 786624 850224 903363 1133632 1204484 1700448 1806726 2408968 3400896 3613452 4268833 4817936 7226904 8537666 9635872 12806499 14453808 17075332 19271744 25612998 28907616 34150664 51225996 57815232 68301328 72570161 102451992 136602656 145140322 204903984 217710483 273205312 290280644 409807968 435420966 580561288 819615936 870841932 1161122576 1741683864 2322245152 3483367728 4644490304 6966735456 13933470912