Search a number
-
+
1349899499520 = 211345111319599
BaseRepresentation
bin10011101001001100010…
…001111011100000000000
311210001022211001200010000
4103221030101323200000
5134104043232441040
62512045115040000
7166345524265665
oct23511421734000
94701284050100
101349899499520
114805420917a0
12199752740000
139a3ab0a9910
144949a7d7a6c
15251a9a67130
hex13a4c47b800

1349899499520 has 1920 divisors, whose sum is σ = 5993507520000. Its totient is φ = 285698949120.

The previous prime is 1349899499503. The next prime is 1349899499563. The reversal of 1349899499520 is 259949989431.

1349899499520 is a `hidden beast` number, since 1 + 3 + 4 + 9 + 8 + 9 + 9 + 4 + 99 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2253588181 + ... + 2253588779.

It is an arithmetic number, because the mean of its divisors is an integer number (3121618500).

Almost surely, 21349899499520 is an apocalyptic number.

1349899499520 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 1349899499520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2996753760000).

1349899499520 is an abundant number, since it is smaller than the sum of its proper divisors (4643608020480).

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

1349899499520 is a wasteful number, since it uses less digits than its factorization.

1349899499520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 226748160, while the sum is 72.

The spelling of 1349899499520 in words is "one trillion, three hundred forty-nine billion, eight hundred ninety-nine million, four hundred ninety-nine thousand, five hundred twenty".