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13995770472 = 23321789128477
BaseRepresentation
bin11010000100011011…
…01000001001101000
31100010101111210202100
431002031220021220
5212130404123342
610232441533400
71003554041355
oct150215501150
940111453670
1013995770472
115a3227a562
1228671a4260
13142078a9b8
1496aad562c
1556da99e4c
hex342368268

13995770472 has 96 divisors (see below), whose sum is σ = 40586200200. Its totient is φ = 4341460992.

The previous prime is 13995770461. The next prime is 13995770513. The reversal of 13995770472 is 27407759931.

13995770472 is a `hidden beast` number, since 13 + 9 + 95 + 7 + 70 + 472 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11381902596 + 2613867876 = 106686^2 + 51126^2 .

It is a super-2 number, since 2×139957704722 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 44698 + ... + 173174.

Almost surely, 213995770472 is an apocalyptic number.

13995770472 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 13995770472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20293100100).

13995770472 is an abundant number, since it is smaller than the sum of its proper divisors (26590429728).

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

13995770472 is a wasteful number, since it uses less digits than its factorization.

13995770472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128595 (or 128588 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The spelling of 13995770472 in words is "thirteen billion, nine hundred ninety-five million, seven hundred seventy thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 89 102 136 153 178 204 267 306 356 408 534 612 712 801 1068 1224 1513 1602 2136 3026 3204 4539 6052 6408 9078 12104 13617 18156 27234 36312 54468 108936 128477 256954 385431 513908 770862 1027816 1156293 1541724 2184109 2312586 3083448 4368218 4625172 6552327 8736436 9250344 11434453 13104654 17472872 19656981 22868906 26209308 34303359 39313962 45737812 52418616 68606718 78627924 91475624 102910077 137213436 157255848 194385701 205820154 274426872 388771402 411640308 583157103 777542804 823280616 1166314206 1555085608 1749471309 2332628412 3498942618 4665256824 6997885236 13995770472