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13238768513352 = 23347107109686887
BaseRepresentation
bin1100000010100110010000…
…0110000011000101001000
31201212121120112120202011210
43000221210012003011020
53213400444214411402
644053450054253120
72534320011441204
oct300514406030510
951777515522153
1013238768513352
114244591767878
1215999189571a0
13750544b8cb05
1433aa8cd09b04
1517e58643806c
hexc0a64183148

13238768513352 has 64 divisors (see below), whose sum is σ = 34117009643520. Its totient is φ = 4278666049088.

The previous prime is 13238768513351. The next prime is 13238768513371. The reversal of 13238768513352 is 25331586783231.

It is a junction number, because it is equal to n+sod(n) for n = 13238768513292 and 13238768513301.

It is not an unprimeable number, because it can be changed into a prime (13238768513351) 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, 54722748 + ... + 54964139.

It is an arithmetic number, because the mean of its divisors is an integer number (533078275680).

Almost surely, 213238768513352 is an apocalyptic number.

13238768513352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13238768513352 is an abundant number, since it is smaller than the sum of its proper divisors (20878241130168).

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

13238768513352 is a wasteful number, since it uses less digits than its factorization.

13238768513352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109687050 (or 109687046 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 57.

The spelling of 13238768513352 in words is "thirteen trillion, two hundred thirty-eight billion, seven hundred sixty-eight million, five hundred thirteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 47 94 107 141 188 214 282 321 376 428 564 642 856 1128 1284 2568 5029 10058 15087 20116 30174 40232 60348 120696 109686887 219373774 329060661 438747548 658121322 877495096 1316242644 2632485288 5155283689 10310567378 11736496909 15465851067 20621134756 23472993818 30931702134 35209490727 41242269512 46945987636 61863404268 70418981454 93891975272 123726808536 140837962908 281675925816 551615354723 1103230709446 1654846064169 2206461418892 3309692128338 4412922837784 6619384256676 13238768513352