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1909494972 = 223571131823
BaseRepresentation
bin111000111010000…
…1001010010111100
311221002001101200000
41301310021102330
512402312314342
6513251034300
765214303510
oct16164112274
94832041600
101909494972
1189a950920
1245359b990
132457a95a8
1414185a140
15b298644c
hex71d094bc

1909494972 has 288 divisors, whose sum is σ = 6449823744. Its totient is φ = 479390400.

The previous prime is 1909494949. The next prime is 1909494989. The reversal of 1909494972 is 2794949091.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2319753 + ... + 2320575.

Almost surely, 21909494972 is an apocalyptic number.

1909494972 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 1909494972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3224911872).

1909494972 is an abundant number, since it is smaller than the sum of its proper divisors (4540328772).

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

1909494972 is a wasteful number, since it uses less digits than its factorization.

1909494972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The square root of 1909494972 is about 43697.7685013777. The cubic root of 1909494972 is about 1240.6220803371.

The spelling of 1909494972 in words is "one billion, nine hundred nine million, four hundred ninety-four thousand, nine hundred seventy-two".