Search a number
-
+
13998033088 = 2613137227541
BaseRepresentation
bin11010000100101100…
…10000100011000000
31100010112202202110221
431002112100203000
5212131444024323
610233002232424
71003612214044
oct150226204300
940115682427
1013998033088
115a33585496
122867ab5714
1314210a0820
1496b124024
1556dd9555d
hex3425908c0

13998033088 has 112 divisors (see below), whose sum is σ = 30321101664. Its totient is φ = 6373416960.

The previous prime is 13998033067. The next prime is 13998033139. The reversal of 13998033088 is 88033089931.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25874098 + ... + 25874638.

It is an arithmetic number, because the mean of its divisors is an integer number (270724122).

Almost surely, 213998033088 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 13998033088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15160550832).

13998033088 is an abundant number, since it is smaller than the sum of its proper divisors (16323068576).

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

13998033088 is a wasteful number, since it uses less digits than its factorization.

13998033088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 52.

The spelling of 13998033088 in words is "thirteen billion, nine hundred ninety-eight million, thirty-three thousand, eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 137 208 227 274 416 454 541 548 832 908 1082 1096 1781 1816 2164 2192 2951 3562 3632 4328 4384 5902 7033 7124 7264 8656 8768 11804 14066 14248 14528 17312 23608 28132 28496 31099 34624 47216 56264 56992 62198 74117 94432 112528 113984 122807 124396 148234 188864 225056 245614 248792 296468 404287 450112 491228 497584 592936 808574 963521 982456 995168 1185872 1596491 1617148 1927042 1964912 1990336 2371744 3192982 3234296 3854084 3929824 4743488 6385964 6468592 7708168 7859648 12771928 12937184 15416336 16824559 25543856 25874368 30832672 33649118 51087712 61665344 67298236 102175424 134596472 218719267 269192944 437438534 538385888 874877068 1076771776 1749754136 3499508272 6999016544 13998033088