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13413635520 = 263531450727
BaseRepresentation
bin11000111111000001…
…11101010111000000
31021121211010021201120
430133200331113000
5204432342314040
610055004432240
7653255010045
oct143740752700
937554107646
1013413635520
11576371399a
122724248680
131359ca884c
1491367d1cc
1553790a7d0
hex31f83d5c0

13413635520 has 112 divisors (see below), whose sum is σ = 43962206208. Its totient is φ = 3461575680.

The previous prime is 13413635503. The next prime is 13413635531. The reversal of 13413635520 is 2553631431.

13413635520 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195604 + ... + 255123.

Almost surely, 213413635520 is an apocalyptic number.

13413635520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13413635520 is an abundant number, since it is smaller than the sum of its proper divisors (30548570688).

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

13413635520 is a wasteful number, since it uses less digits than its factorization.

13413635520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450778 (or 450768 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The spelling of 13413635520 in words is "thirteen billion, four hundred thirteen million, six hundred thirty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 155 160 186 192 240 248 310 320 372 465 480 496 620 744 930 960 992 1240 1488 1860 1984 2480 2976 3720 4960 5952 7440 9920 14880 29760 450727 901454 1352181 1802908 2253635 2704362 3605816 4507270 5408724 6760905 7211632 9014540 10817448 13521810 13972537 14423264 18029080 21634896 27043620 27945074 28846528 36058160 41917611 43269792 54087240 55890148 69862685 72116320 83835222 86539584 108174480 111780296 139725370 144232640 167670444 209588055 216348960 223560592 279450740 335340888 419176110 432697920 447121184 558901480 670681776 838352220 894242368 1117802960 1341363552 1676704440 2235605920 2682727104 3353408880 4471211840 6706817760 13413635520