Search a number
-
+
1490401285632 = 293672194289
BaseRepresentation
bin10101101100000010110…
…101101101011000000000
312021110222121221221000000
4111230002311231120000
5143404320212120012
63100403024000000
7212451350621400
oct25540265553000
95243877857000
101490401285632
115250917421a6
12200a24460000
13aa70c8ca96c
14521c8924800
1528b7e855ddc
hex15b02d6d600

1490401285632 has 840 divisors, whose sum is σ = 5468370593400. Its totient is φ = 403322830848.

The previous prime is 1490401285589. The next prime is 1490401285663. The reversal of 1490401285632 is 2365821040941.

1490401285632 is a `hidden beast` number, since 1 + 4 + 9 + 0 + 4 + 0 + 1 + 2 + 8 + 5 + 632 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 347491744 + ... + 347496032.

Almost surely, 21490401285632 is an apocalyptic number.

1490401285632 is a gapful number since it is divisible by the number (12) 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 1490401285632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2734185296700).

1490401285632 is an abundant number, since it is smaller than the sum of its proper divisors (3977969307768).

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

1490401285632 is an frugal number, since it uses more digits than its factorization.

1490401285632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4358 (or 4320 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 1490401285632 in words is "one trillion, four hundred ninety billion, four hundred one million, two hundred eighty-five thousand, six hundred thirty-two".