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1900394496 = 2113271113103
BaseRepresentation
bin111000101000101…
…1011100000000000
311220102221001011100
41301101123200000
512343000110441
6512324014400
765044041510
oct16121334000
94812831140
101900394496
118957a5570
12450531400
132439412b0
1414056b840
15b1c89cb6
hex7145b800

1900394496 has 576 divisors, whose sum is σ = 7440975360. Its totient is φ = 451215360.

The previous prime is 1900394437. The next prime is 1900394593. The reversal of 1900394496 is 6944930091.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×19003944962 = 7222998480854188032, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its 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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18450381 + ... + 18450483.

It is an arithmetic number, because the mean of its divisors is an integer number (12918360).

Almost surely, 21900394496 is an apocalyptic number.

1900394496 is a gapful number since it is divisible by the number (16) 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 1900394496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3720487680).

1900394496 is an abundant number, since it is smaller than the sum of its proper divisors (5540580864).

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

1900394496 is a wasteful number, since it uses less digits than its factorization.

1900394496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 1900394496 is about 43593.5143800084. The cubic root of 1900394496 is about 1238.6480443797.

The spelling of 1900394496 in words is "one billion, nine hundred million, three hundred ninety-four thousand, four hundred ninety-six".