Search a number
-
+
13390999272 = 2333734725523
BaseRepresentation
bin11000111100010101…
…00110111011101000
31021120020112020122000
430132022212323220
5204411043434042
610052435331000
7652561421130
oct143612467350
937506466560
1013390999272
115751962a52
122718750a60
1313553b1511
14910669ac0
1553593874c
hex31e2a6ee8

13390999272 has 128 divisors (see below), whose sum is σ = 42635289600. Its totient is φ = 3814824384.

The previous prime is 13390999249. The next prime is 13390999291. The reversal of 13390999272 is 27299909331.

13390999272 is a `hidden beast` number, since 13 + 390 + 99 + 92 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 511903 + ... + 537425.

It is an arithmetic number, because the mean of its divisors is an integer number (333088200).

Almost surely, 213390999272 is an apocalyptic number.

13390999272 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 13390999272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21317644800).

13390999272 is an abundant number, since it is smaller than the sum of its proper divisors (29244290328).

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

13390999272 is a wasteful number, since it uses less digits than its factorization.

13390999272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25892 (or 25882 counting only the distinct ones).

The product of its (nonzero) digits is 1653372, while the sum is 54.

The spelling of 13390999272 in words is "thirteen billion, three hundred ninety million, nine hundred ninety-nine thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 347 378 504 694 756 1041 1388 1512 2082 2429 2776 3123 4164 4858 6246 7287 8328 9369 9716 12492 14574 18738 19432 21861 24984 25523 29148 37476 43722 51046 58296 65583 74952 76569 87444 102092 131166 153138 174888 178661 204184 229707 262332 306276 357322 459414 524664 535983 612552 689121 714644 918828 1071966 1378242 1429288 1607949 1837656 2143932 2756484 3215898 4287864 4823847 5512968 6431796 8856481 9647694 12863592 17712962 19295388 26569443 35425924 38590776 53138886 61995367 70851848 79708329 106277772 123990734 159416658 185986101 212555544 239124987 247981468 318833316 371972202 478249974 495962936 557958303 637666632 743944404 956499948 1115916606 1487888808 1673874909 1912999896 2231833212 3347749818 4463666424 6695499636 13390999272