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13948796106 = 2337172170681
BaseRepresentation
bin11001111110110100…
…11011110011001010
31100000010010021001000
430333122123303022
5212031342433411
610224043035430
71002443545020
oct147732336312
940003107030
1013948796106
115a08805a73
12285350bb76
131413b2180b
14964788710
155698bb956
hex33f69bcca

13948796106 has 64 divisors (see below), whose sum is σ = 37509384960. Its totient is φ = 3750935040.

The previous prime is 13948796087. The next prime is 13948796111. The reversal of 13948796106 is 60169784931.

13948796106 is a `hidden beast` number, since 13 + 9 + 4 + 8 + 7 + 9 + 610 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1078915 + ... + 1091766.

It is an arithmetic number, because the mean of its divisors is an integer number (586084140).

Almost surely, 213948796106 is an apocalyptic number.

13948796106 is an abundant number, since it is smaller than the sum of its proper divisors (23560588854).

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

13948796106 is a wasteful number, since it uses less digits than its factorization.

13948796106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2170716 (or 2170710 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 13948796106 in words is "thirteen billion, nine hundred forty-eight million, seven hundred ninety-six thousand, one hundred six".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 102 119 126 153 189 238 306 357 378 459 714 918 1071 2142 3213 6426 2170681 4341362 6512043 13024086 15194767 19536129 30389534 36901577 39072258 45584301 58608387 73803154 91168602 110704731 117216774 136752903 221409462 258311039 273505806 332114193 410258709 516622078 664228386 774933117 820517418 996342579 1549866234 1992685158 2324799351 4649598702 6974398053 13948796106