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13709848832 = 281723294723
BaseRepresentation
bin11001100010010101…
…11011000100000000
31022101110111110222222
430301022323010000
5211034210130312
610144225350212
7663512535521
oct146112730400
938343443888
1013709848832
1158a5941389
1227a7498368
1313a647bbb4
14940b48848
1555391c672
hex3312bb100

13709848832 has 144 divisors (see below), whose sum is σ = 31284973440. Its totient is φ = 5957124096.

The previous prime is 13709848819. The next prime is 13709848843. The reversal of 13709848832 is 23884890731.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2900423 + ... + 2905145.

It is an arithmetic number, because the mean of its divisors is an integer number (217256760).

Almost surely, 213709848832 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 13709848832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15642486720).

13709848832 is an abundant number, since it is smaller than the sum of its proper divisors (17575124608).

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

13709848832 is a wasteful number, since it uses less digits than its factorization.

13709848832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4808 (or 4794 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 53.

The spelling of 13709848832 in words is "thirteen billion, seven hundred nine million, eight hundred forty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 17 23 29 32 34 46 58 64 68 92 116 128 136 184 232 256 272 368 391 464 493 544 667 736 782 928 986 1088 1334 1472 1564 1856 1972 2176 2668 2944 3128 3712 3944 4352 4723 5336 5888 6256 7424 7888 9446 10672 11339 12512 15776 18892 21344 22678 25024 31552 37784 42688 45356 50048 63104 75568 80291 85376 90712 100096 108629 126208 136967 151136 160582 170752 181424 217258 273934 302272 321164 362848 434516 547868 604544 642328 725696 869032 1095736 1209088 1284656 1451392 1738064 1846693 2191472 2328439 2569312 2902784 3150241 3476128 3693386 4382944 4656878 5138624 6300482 6952256 7386772 8765888 9313756 10277248 12600964 13904512 14773544 17531776 18627512 20554496 25201928 27809024 29547088 35063552 37255024 50403856 53554097 59094176 74510048 100807712 107108194 118188352 149020096 201615424 214216388 236376704 298040192 403230848 428432776 472753408 596080384 806461696 856865552 1713731104 3427462208 6854924416 13709848832