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13870269846 = 2333713949943
BaseRepresentation
bin11001110101011101…
…11000010110010110
31022210122100201021000
430322232320112112
5211401242113341
610212200004130
71000501230336
oct147256702626
938718321230
1013870269846
115978451034
122831160646
131400789184
149581870c6
15562a598b6
hex33abb8596

13870269846 has 64 divisors (see below), whose sum is σ = 31884249600. Its totient is φ = 4466013408.

The previous prime is 13870269811. The next prime is 13870269911. The reversal of 13870269846 is 64896207831.

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

It is a junction number, because it is equal to n+sod(n) for n = 13870269792 and 13870269801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 252751 + ... + 302693.

It is an arithmetic number, because the mean of its divisors is an integer number (498191400).

Almost surely, 213870269846 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13870269846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15942124800).

13870269846 is an abundant number, since it is smaller than the sum of its proper divisors (18013979754).

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

13870269846 is a wasteful number, since it uses less digits than its factorization.

13870269846 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50130 (or 50124 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 13870269846 in words is "thirteen billion, eight hundred seventy million, two hundred sixty-nine thousand, eight hundred forty-six".

Divisors: 1 2 3 6 9 18 27 37 54 74 111 139 222 278 333 417 666 834 999 1251 1998 2502 3753 5143 7506 10286 15429 30858 46287 49943 92574 99886 138861 149829 277722 299658 449487 898974 1348461 1847891 2696922 3695782 5543673 6942077 11087346 13884154 16631019 20826231 33262038 41652462 49893057 62478693 99786114 124957386 187436079 256856849 374872158 513713698 770570547 1541141094 2311711641 4623423282 6935134923 13870269846