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13679447004 = 22323117370853
BaseRepresentation
bin11001011110101101…
…11100101111011100
31022022100021220112100
430233112330233130
5211003414301004
610141222005100
7662663244456
oct145726745734
938270256470
1013679447004
11588a767003
122799276790
1313a0096052
1493aab32d6
15550e14739
hex32f5bcbdc

13679447004 has 72 divisors (see below), whose sum is σ = 35900871552. Its totient is φ = 4387155840.

The previous prime is 13679446997. The next prime is 13679447027. The reversal of 13679447004 is 40074497631.

13679447004 is a `hidden beast` number, since 136 + 79 + 447 + 0 + 0 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157642 + ... + 228494.

It is an arithmetic number, because the mean of its divisors is an integer number (498623216).

Almost surely, 213679447004 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 13679447004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17950435776).

13679447004 is an abundant number, since it is smaller than the sum of its proper divisors (22221424548).

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

13679447004 is a wasteful number, since it uses less digits than its factorization.

13679447004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71067 (or 71062 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 13679447004 in words is "thirteen billion, six hundred seventy-nine million, four hundred forty-seven thousand, four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 173 186 279 346 372 519 558 692 1038 1116 1557 2076 3114 5363 6228 10726 16089 21452 32178 48267 64356 70853 96534 141706 193068 212559 283412 425118 637677 850236 1275354 2196443 2550708 4392886 6589329 8785772 12257569 13178658 19767987 24515138 26357316 36772707 39535974 49030276 73545414 79071948 110318121 147090828 220636242 379984639 441272484 759969278 1139953917 1519938556 2279907834 3419861751 4559815668 6839723502 13679447004