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1901008494 = 233711289467
BaseRepresentation
bin111000101001111…
…0001011001101110
311220111002020102000
41301103301121232
512343124232434
6512345113130
765052206550
oct16123613156
94814066360
101901008494
11896084900
124507887a6
13243ac78c8
1414068b4d0
15b1d5bb99
hex714f166e

1901008494 has 192 divisors, whose sum is σ = 5377881600. Its totient is φ = 487175040.

The previous prime is 1901008451. The next prime is 1901008519. The reversal of 1901008494 is 4948001091.

It is a super-2 number, since 2×19010084942 = 7227666588520296072, which contains 22 as substring.

It is a Curzon number.

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 95 ways as a sum of consecutive naturals, for example, 4070449 + ... + 4070915.

It is an arithmetic number, because the mean of its divisors is an integer number (28009800).

Almost surely, 21901008494 is an apocalyptic number.

1901008494 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1901008494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2688940800).

1901008494 is an abundant number, since it is smaller than the sum of its proper divisors (3476873106).

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

1901008494 is a wasteful number, since it uses less digits than its factorization.

1901008494 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1901008494 is about 43600.5561203065. The cubic root of 1901008494 is about 1238.7814281818.

The spelling of 1901008494 in words is "one billion, nine hundred one million, eight thousand, four hundred ninety-four".