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10013494392 = 23321121398269
BaseRepresentation
bin10010101001101100…
…11100110001111000
3221211212011012221200
421110312130301320
5131001423310032
64333343534200
7503100204126
oct112466346170
927755135850
1010013494392
1142793a1600
121b355ba360
13c37733715
146adc76916
153d917647c
hex254d9cc78

10013494392 has 144 divisors (see below), whose sum is σ = 30027543000. Its totient is φ = 3012197760.

The previous prime is 10013494391. The next prime is 10013494417. The reversal of 10013494392 is 29349431001.

10013494392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013494391) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1206834 + ... + 1215102.

Almost surely, 210013494392 is an apocalyptic number.

10013494392 is a gapful number since it is divisible by the number (12) 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 10013494392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15013771500).

10013494392 is an abundant number, since it is smaller than the sum of its proper divisors (20014048608).

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

10013494392 is a wasteful number, since it uses less digits than its factorization.

10013494392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8442 (or 8424 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

It can be divided in two parts, 10013 and 494392, that added together give a palindrome (504405).

The spelling of 10013494392 in words is "ten billion, thirteen million, four hundred ninety-four thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 139 198 242 264 278 363 396 417 484 556 726 792 834 968 1089 1112 1251 1452 1529 1668 2178 2502 2904 3058 3336 4356 4587 5004 6116 8269 8712 9174 10008 12232 13761 16538 16819 18348 24807 27522 33076 33638 36696 49614 50457 55044 66152 67276 74421 90959 99228 100914 110088 134552 148842 151371 181918 198456 201828 272877 297684 302742 363836 403656 545754 595368 605484 727672 818631 1000549 1091508 1149391 1210968 1637262 2001098 2183016 2298782 3001647 3274524 3448173 4002196 4597564 6003294 6549048 6896346 8004392 9004941 9195128 10344519 12006588 12643301 13792692 18009882 20689038 24013176 25286602 27585384 36019764 37929903 41378076 50573204 72039528 75859806 82756152 101146408 113789709 139076311 151719612 227579418 278152622 303439224 417228933 455158836 556305244 834457866 910317672 1112610488 1251686799 1668915732 2503373598 3337831464 5006747196 10013494392