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13397840352 = 25321317210499
BaseRepresentation
bin11000111101001001…
…01101000111100000
31021120201101210211100
430132210231013200
5204414321342402
610053242114400
7653003523021
oct143644550740
937521353740
1013397840352
115755805836
12271aaaba00
1313569382b0
1491152ac48
1553633a71c
hex31e92d1e0

13397840352 has 144 divisors (see below), whose sum is σ = 43444674000. Its totient is φ = 3879899136.

The previous prime is 13397840333. The next prime is 13397840353. The reversal of 13397840352 is 25304879331.

13397840352 is a `hidden beast` number, since 133 + 97 + 84 + 0 + 352 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 13397840298 and 13397840307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13397840353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41602 + ... + 168897.

It is an arithmetic number, because the mean of its divisors is an integer number (301699125).

Almost surely, 213397840352 is an apocalyptic number.

13397840352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13397840352 is an abundant number, since it is smaller than the sum of its proper divisors (30046833648).

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

13397840352 is a wasteful number, since it uses less digits than its factorization.

13397840352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210545 (or 210534 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 13397840352 in words is "thirteen billion, three hundred ninety-seven million, eight hundred forty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 17 18 24 26 32 34 36 39 48 51 52 68 72 78 96 102 104 117 136 144 153 156 204 208 221 234 272 288 306 312 408 416 442 468 544 612 624 663 816 884 936 1224 1248 1326 1632 1768 1872 1989 2448 2652 3536 3744 3978 4896 5304 7072 7956 10608 15912 21216 31824 63648 210499 420998 631497 841996 1262994 1683992 1894491 2525988 2736487 3367984 3578483 3788982 5051976 5472974 6735968 7156966 7577964 8209461 10103952 10735449 10945948 14313932 15155928 16418922 20207904 21470898 21891896 24628383 28627864 30311856 32206347 32837844 42941796 43783792 46520279 49256766 57255728 60623712 64412694 65675688 85883592 87567584 93040558 98513532 114511456 128825388 131351376 139560837 171767184 186081116 197027064 257650776 262702752 279121674 343534368 372162232 394054128 418682511 515301552 558243348 744324464 788108256 837365022 1030603104 1116486696 1488648928 1674730044 2232973392 3349460088 4465946784 6698920176 13397840352