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13408755407352 = 23321994710350287
BaseRepresentation
bin1100001100011111100000…
…0110100101100111111000
31202110212100012220200020200
43003013320012211213320
53224142112341013402
644303521443322200
72552515313262354
oct303077006454770
952425305820220
1013408755407352
1142aa691953238
121606859080360
137635951a8666
14344db6d30464
15183bd4a4521c
hexc31f81a59f8

13408755407352 has 96 divisors (see below), whose sum is σ = 38267084793600. Its totient is φ = 4229872080192.

The previous prime is 13408755407347. The next prime is 13408755407449. The reversal of 13408755407352 is 25370455780431.

13408755407352 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 87 + 554 + 0 + 7 + 3 + 5 + 2 = 666.

13408755407352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3879648 + ... + 6470639.

It is an arithmetic number, because the mean of its divisors is an integer number (398615466600).

Almost surely, 213408755407352 is an apocalyptic number.

13408755407352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13408755407352 is an abundant number, since it is smaller than the sum of its proper divisors (24858329386248).

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

13408755407352 is a wasteful number, since it uses less digits than its factorization.

13408755407352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10351265 (or 10351258 counting only the distinct ones).

The product of its (nonzero) digits is 14112000, while the sum is 54.

The spelling of 13408755407352 in words is "thirteen trillion, four hundred eight billion, seven hundred fifty-five million, four hundred seven thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 947 1368 1894 2841 3788 5682 7576 8523 11364 17046 17993 22728 34092 35986 53979 68184 71972 107958 143944 161937 215916 323874 431832 647748 1295496 10350287 20700574 31050861 41401148 62101722 82802296 93152583 124203444 186305166 196655453 248406888 372610332 393310906 589966359 745220664 786621812 1179932718 1573243624 1769899077 2359865436 3539798154 4719730872 7079596308 9801721789 14159192616 19603443578 29405165367 39206887156 58810330734 78413774312 88215496101 117620661468 176430992202 186232713991 235241322936 352861984404 372465427982 558698141973 705723968808 744930855964 1117396283946 1489861711928 1676094425919 2234792567892 3352188851838 4469585135784 6704377703676 13408755407352