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103263376944 = 24373131967379
BaseRepresentation
bin110000000101011111…
…0100001011000110000
3100212112121021001211110
41200022332201120300
53142440411030234
6115234420313320
710313651136000
oct1401276413060
9325477231743
10103263376944
113a880536542
121801a842840
13997893b310
144dd8626000
152a459a61e9
hex180afa1630

103263376944 has 640 divisors, whose sum is σ = 358865920000. Its totient is φ = 25348764672.

The previous prime is 103263376927. The next prime is 103263376961. The reversal of 103263376944 is 449673362301.

It is an interprime number because it is at equal distance from previous prime (103263376927) and next prime (103263376961).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 103263376893 and 103263376902.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 272462547 + ... + 272462925.

It is an arithmetic number, because the mean of its divisors is an integer number (560728000).

Almost surely, 2103263376944 is an apocalyptic number.

103263376944 is a gapful number since it is divisible by the number (14) 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 103263376944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179432960000).

103263376944 is an abundant number, since it is smaller than the sum of its proper divisors (255602543056).

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

103263376944 is a wasteful number, since it uses less digits than its factorization.

103263376944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 48.

The spelling of 103263376944 in words is "one hundred three billion, two hundred sixty-three million, three hundred seventy-six thousand, nine hundred forty-four".