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149045760000 = 21232546469
BaseRepresentation
bin1000101011001111010…
…0011101000000000000
3112020201020220002200100
42022303310131000000
54420221203310000
6152245355522400
713524331025304
oct2126364350000
9466636802610
10149045760000
115823449a555
1224a77159400
13110939747c7
1472dcb55d04
153d24e3ba00
hex22b3d1d000

149045760000 has 390 divisors, whose sum is σ = 538066052810. Its totient is φ = 39739392000.

The previous prime is 149045759923. The next prime is 149045760011. The reversal of 149045760000 is 67540941.

149045760000 is a `hidden beast` number, since 1 + 4 + 9 + 0 + 45 + 7 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 99270365184 + 49775394816 = 315072^2 + 223104^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 23036766 + ... + 23043234.

Almost surely, 2149045760000 is an apocalyptic number.

149045760000 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 149045760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269033026405).

149045760000 is an abundant number, since it is smaller than the sum of its proper divisors (389020292810).

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

149045760000 is an frugal number, since it uses more digits than its factorization.

149045760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6519 (or 6479 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 149045760000 in words is "one hundred forty-nine billion, forty-five million, seven hundred sixty thousand".