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13782746940 = 223517314011087
BaseRepresentation
bin11001101011000010…
…00000011100111100
31022120112200002101220
430311201000130330
5211211340400230
610155352033340
7665356262454
oct146541003474
938515602356
1013782746940
115933001856
122807992850
1313b85c3881
1494a6c2d64
1555a01bd10
hex33584073c

13782746940 has 192 divisors, whose sum is σ = 42324000768. Its totient is φ = 3336192000.

The previous prime is 13782746911. The next prime is 13782746951. The reversal of 13782746940 is 4964728731.

It is a super-2 number, since 2×137827469402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12679077 + ... + 12680163.

It is an arithmetic number, because the mean of its divisors is an integer number (220437504).

Almost surely, 213782746940 is an apocalyptic number.

13782746940 is a gapful number since it is divisible by the number (10) 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 13782746940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21162000384).

13782746940 is an abundant number, since it is smaller than the sum of its proper divisors (28541253828).

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

13782746940 is a wasteful number, since it uses less digits than its factorization.

13782746940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The spelling of 13782746940 in words is "thirteen billion, seven hundred eighty-two million, seven hundred forty-six thousand, nine hundred forty".