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13312438464 = 2631319280711
BaseRepresentation
bin11000110010111101…
…11011000011000000
31021100202200221110110
430121132323003000
5204230441012324
610040551431320
7650615600643
oct143136730300
937322627413
1013312438464
115711585066
1226b6385540
131342036230
14904059a5a
1552dabb329
hex3197bb0c0

13312438464 has 112 divisors (see below), whose sum is σ = 39928474880. Its totient is φ = 3880535040.

The previous prime is 13312438453. The next prime is 13312438471. The reversal of 13312438464 is 46483421331.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92932 + ... + 187779.

It is an arithmetic number, because the mean of its divisors is an integer number (356504240).

Almost surely, 213312438464 is an apocalyptic number.

It is an amenable number.

13312438464 is an abundant number, since it is smaller than the sum of its proper divisors (26616036416).

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

13312438464 is a wasteful number, since it uses less digits than its factorization.

13312438464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280758 (or 280748 counting only the distinct ones).

The product of its digits is 165888, while the sum is 39.

Adding to 13312438464 its reverse (46483421331), we get a palindrome (59795859795).

The spelling of 13312438464 in words is "thirteen billion, three hundred twelve million, four hundred thirty-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 64 76 78 96 104 114 152 156 192 208 228 247 304 312 416 456 494 608 624 741 832 912 988 1216 1248 1482 1824 1976 2496 2964 3648 3952 5928 7904 11856 15808 23712 47424 280711 561422 842133 1122844 1684266 2245688 3368532 3649243 4491376 5333509 6737064 7298486 8982752 10667018 10947729 13474128 14596972 16000527 17965504 21334036 21895458 26948256 29193944 32001054 42668072 43790916 53896512 58387888 64002108 69335617 85336144 87581832 116775776 128004216 138671234 170672288 175163664 208006851 233551552 256008432 277342468 341344576 350327328 416013702 512016864 554684936 700654656 832027404 1024033728 1109369872 1664054808 2218739744 3328109616 4437479488 6656219232 13312438464