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13792850910 = 2345235361229
BaseRepresentation
bin11001101100001111…
…00011001111011110
31022121020200102110000
430312013203033132
5211221432212120
610200352355130
7665541204216
oct146607431736
938536612400
1013792850910
115938783043
12280b245aa6
1313ba720857
1494bb93246
1555ad65990
hex3361e33de

13792850910 has 320 divisors, whose sum is σ = 40251530880. Its totient is φ = 3380382720.

The previous prime is 13792850893. The next prime is 13792850969. The reversal of 13792850910 is 1905829731.

13792850910 is a `hidden beast` number, since 137 + 9 + 2 + 8 + 509 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 60230676 + ... + 60230904.

It is an arithmetic number, because the mean of its divisors is an integer number (125786034).

Almost surely, 213792850910 is an apocalyptic number.

13792850910 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13792850910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20125765440).

13792850910 is an abundant number, since it is smaller than the sum of its proper divisors (26458679970).

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

13792850910 is a wasteful number, since it uses less digits than its factorization.

13792850910 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 13792850910 in words is "thirteen billion, seven hundred ninety-two million, eight hundred fifty thousand, nine hundred ten".