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103423436928 = 2733717251477
BaseRepresentation
bin110000001010010000…
…1000110100010000000
3100212221202102221212000
41200110201012202000
53143302344440203
6115302335104000
710320633465120
oct1402441064200
9325852387760
10103423436928
113a952919a19
1218064372000
1399a2b50176
1450119acc80
152a54a714a3
hex1814846880

103423436928 has 256 divisors, whose sum is σ = 369370886400. Its totient is φ = 27811233792.

The previous prime is 103423436927. The next prime is 103423436947. The reversal of 103423436928 is 829634324301.

103423436928 is a `hidden beast` number, since 1 + 0 + 34 + 234 + 369 + 28 = 666.

It is not an unprimeable number, because it can be changed into a prime (103423436927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 285526 + ... + 537002.

It is an arithmetic number, because the mean of its divisors is an integer number (1442855025).

Almost surely, 2103423436928 is an apocalyptic number.

103423436928 is a gapful number since it is divisible by the number (18) 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 103423436928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184685443200).

103423436928 is an abundant number, since it is smaller than the sum of its proper divisors (265947449472).

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

103423436928 is a wasteful number, since it uses less digits than its factorization.

103423436928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251524 (or 251506 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 103423436928 in words is "one hundred three billion, four hundred twenty-three million, four hundred thirty-six thousand, nine hundred twenty-eight".