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13503869424 = 243371795573
BaseRepresentation
bin11001001001110010…
…01011000111110000
31021212002220122101000
430210321023013300
5210123442310144
610111550442000
7655431665463
oct144471130760
937762818330
1013503869424
1157aa644a71
12274a503300
1313728b00a6
1492164b2da
155407d1769
hex324e4b1f0

13503869424 has 160 divisors (see below), whose sum is σ = 39811737600. Its totient is φ = 4380929280.

The previous prime is 13503869419. The next prime is 13503869447. The reversal of 13503869424 is 42496830531.

13503869424 is a `hidden beast` number, since 135 + 0 + 38 + 69 + 424 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13503869424.

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, 2420302 + ... + 2425874.

It is an arithmetic number, because the mean of its divisors is an integer number (248823360).

Almost surely, 213503869424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13503869424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19905868800).

13503869424 is an abundant number, since it is smaller than the sum of its proper divisors (26307868176).

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

13503869424 is a wasteful number, since it uses less digits than its factorization.

13503869424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5740 (or 5728 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 13503869424 in words is "thirteen billion, five hundred three million, eight hundred sixty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 71 72 79 108 142 144 158 213 216 237 284 316 426 432 474 568 632 639 711 852 948 1136 1264 1278 1422 1704 1896 1917 2133 2556 2844 3408 3792 3834 4266 5112 5573 5609 5688 7668 8532 10224 11146 11218 11376 15336 16719 16827 17064 22292 22436 30672 33438 33654 34128 44584 44872 50157 50481 66876 67308 89168 89744 100314 100962 133752 134616 150471 151443 200628 201924 267504 269232 300942 302886 395683 401256 403848 440267 601884 605772 791366 802512 807696 880534 1187049 1203768 1211544 1320801 1582732 1761068 2374098 2407536 2423088 2641602 3165464 3522136 3561147 3962403 4748196 5283204 6330928 7044272 7122294 7924806 9496392 10566408 10683441 11887209 14244588 15849612 18992784 21132816 21366882 23774418 28489176 31258957 31699224 42733764 47548836 56978352 62517914 63398448 85467528 93776871 95097672 125035828 170935056 187553742 190195344 250071656 281330613 375107484 500143312 562661226 750214968 843991839 1125322452 1500429936 1687983678 2250644904 3375967356 4501289808 6751934712 13503869424