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1922149691640 = 2333517137787971
BaseRepresentation
bin11011111110001001000…
…011001011000011111000
320210202101220202102112000
4123332021003023003320
5222443030310113030
64031005014421000
7255604442542023
oct33761103130370
96722356672460
101922149691640
116811a7432972
12270638061760
1310c3478c8359
14690654181ba
1534eed5de860
hex1bf890cb0f8

1922149691640 has 512 divisors, whose sum is σ = 6849306086400. Its totient is φ = 477799464960.

The previous prime is 1922149691639. The next prime is 1922149691659. The reversal of 1922149691640 is 461969412291.

1922149691640 is a `hidden beast` number, since 1 + 9 + 2 + 2 + 1 + 496 + 91 + 64 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 1979556355 + ... + 1979557325.

It is an arithmetic number, because the mean of its divisors is an integer number (13377550950).

Almost surely, 21922149691640 is an apocalyptic number.

1922149691640 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 1922149691640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3424653043200).

1922149691640 is an abundant number, since it is smaller than the sum of its proper divisors (4927156394760).

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

1922149691640 is a wasteful number, since it uses less digits than its factorization.

1922149691640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932 (or 1922 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 1922149691640 in words is "one trillion, nine hundred twenty-two billion, one hundred forty-nine million, six hundred ninety-one thousand, six hundred forty".