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102743703744 = 263112931531021
BaseRepresentation
bin101111110110000000…
…0001000000011000000
3100211012101101221012220
41133230000020003000
53140404342004434
6115111054051040
710265041033533
oct1375400100300
9324171357186
10102743703744
113a634162360
1217ab47a9a80
1398c5088796
144d895cca1a
152a15053d49
hex17ec0080c0

102743703744 has 448 divisors, whose sum is σ = 322969006080. Its totient is φ = 28514304000.

The previous prime is 102743703701. The next prime is 102743703763. The reversal of 102743703744 is 447307347201.

It is a junction number, because it is equal to n+sod(n) for n = 102743703696 and 102743703705.

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, 100629954 + ... + 100630974.

It is an arithmetic number, because the mean of its divisors is an integer number (720912960).

Almost surely, 2102743703744 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 102743703744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161484503040).

102743703744 is an abundant number, since it is smaller than the sum of its proper divisors (220225302336).

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

102743703744 is a wasteful number, since it uses less digits than its factorization.

102743703744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 42.

The spelling of 102743703744 in words is "one hundred two billion, seven hundred forty-three million, seven hundred three thousand, seven hundred forty-four".