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1918041840 = 24325111321433
BaseRepresentation
bin111001001010010…
…1111111011110000
311221200010121202200
41302110233323300
512412004314330
6514154143200
765350041501
oct16224577360
94850117680
101918041840
118a4759250
12456421b00
132474ac900
14142a42ba8
15b35c3a60
hex7252fef0

1918041840 has 360 divisors, whose sum is σ = 7614436752. Its totient is φ = 428912640.

The previous prime is 1918041809. The next prime is 1918041859. The reversal of 1918041840 is 481408191.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1918041795 and 1918041804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1337764 + ... + 1339196.

Almost surely, 21918041840 is an apocalyptic number.

1918041840 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 1918041840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3807218376).

1918041840 is an abundant number, since it is smaller than the sum of its proper divisors (5696394912).

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

1918041840 is a wasteful number, since it uses less digits than its factorization.

1918041840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1489 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 1918041840 is about 43795.4545586640. The cubic root of 1918041840 is about 1242.4703268233.

The spelling of 1918041840 in words is "one billion, nine hundred eighteen million, forty-one thousand, eight hundred forty".