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13393516024 = 23719312391699
BaseRepresentation
bin11000111100101000…
…01101010111111000
31021120102021002222001
430132110031113320
5204412220003044
610053005310344
7652622002450
oct143624152770
937512232861
1013393516024
115753321909
1227195653b4
131355a82c15
14910b22d60
15535c842d4
hex31e50d5f8

13393516024 has 128 divisors (see below), whose sum is σ = 31334400000. Its totient is φ = 5237447040.

The previous prime is 13393516013. The next prime is 13393516033. The reversal of 13393516024 is 42061539331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7882327 + ... + 7884025.

It is an arithmetic number, because the mean of its divisors is an integer number (244800000).

Almost surely, 213393516024 is an apocalyptic number.

13393516024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13393516024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15667200000).

13393516024 is an abundant number, since it is smaller than the sum of its proper divisors (17940883976).

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

13393516024 is a wasteful number, since it uses less digits than its factorization.

13393516024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2001 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 37.

The spelling of 13393516024 in words is "thirteen billion, three hundred ninety-three million, five hundred sixteen thousand, twenty-four".

Divisors: 1 2 4 7 8 14 19 28 31 38 56 62 76 124 133 152 217 239 248 266 434 478 532 589 868 956 1064 1178 1673 1699 1736 1912 2356 3346 3398 4123 4541 4712 6692 6796 7409 8246 9082 11893 13384 13592 14818 16492 18164 23786 29636 31787 32281 32984 36328 47572 51863 52669 59272 63574 64562 95144 103726 105338 127148 129124 140771 207452 210676 225967 254296 258248 281542 368683 406061 414904 421352 451934 563084 737366 812122 903868 985397 1000711 1126168 1474732 1624244 1807736 1970794 2001422 2842427 2949464 3248488 3941588 4002844 5684854 7004977 7715159 7883176 8005688 11369708 12587891 14009954 15430318 22739416 25175782 28019908 30860636 50351564 54006113 56039816 61721272 88115237 100703128 108012226 176230474 216024452 239169929 352460948 432048904 478339858 704921896 956679716 1674189503 1913359432 3348379006 6696758012 13393516024