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103941366480 = 243357411071567
BaseRepresentation
bin110000011001101100…
…0110110001011010000
3100221021212000111122000
41200303120312023100
53200332442211410
6115430000114000
710336523015610
oct1406330661320
9327255014560
10103941366480
1140099212076
1218189905900
139a56242163
1450606b0a40
152a8527bdc0
hex18336362d0

103941366480 has 640 divisors, whose sum is σ = 423332904960. Its totient is φ = 22947287040.

The previous prime is 103941366469. The next prime is 103941366497. The reversal of 103941366480 is 84663149301.

103941366480 is a `hidden beast` number, since 1 + 0 + 39 + 4 + 136 + 6 + 480 = 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 127 ways as a sum of consecutive naturals, for example, 66330657 + ... + 66332223.

It is an arithmetic number, because the mean of its divisors is an integer number (661457664).

Almost surely, 2103941366480 is an apocalyptic number.

103941366480 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 103941366480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211666452480).

103941366480 is an abundant number, since it is smaller than the sum of its proper divisors (319391538480).

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

103941366480 is a wasteful number, since it uses less digits than its factorization.

103941366480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1744 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 103941366480 in words is "one hundred three billion, nine hundred forty-one million, three hundred sixty-six thousand, four hundred eighty".