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1891272018944 = 2107112171943157
BaseRepresentation
bin11011100001011000100…
…110001100110000000000
320200210200222222010112202
4123201120212030300000
5221441311114101234
64004501031012332
7253432324625450
oct33413046146000
96623628863482
101891272018944
1166a0a1827400
1226665b20a0a8
131094667563c9
14677765c5d60
15342e28e977e
hex1b85898cc00

1891272018944 has 1056 divisors, whose sum is σ = 5450944181760. Its totient is φ = 637646929920.

The previous prime is 1891272018931. The next prime is 1891272018959. The reversal of 1891272018944 is 4498102721981.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 1891272018944.

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, 12046318514 + ... + 12046318670.

It is an arithmetic number, because the mean of its divisors is an integer number (5161878960).

Almost surely, 21891272018944 is an apocalyptic number.

1891272018944 is a gapful number since it is divisible by the number (14) 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 1891272018944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2725472090880).

1891272018944 is an abundant number, since it is smaller than the sum of its proper divisors (3559672162816).

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

1891272018944 is a wasteful number, since it uses less digits than its factorization.

1891272018944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 56.

The spelling of 1891272018944 in words is "one trillion, eight hundred ninety-one billion, two hundred seventy-two million, eighteen thousand, nine hundred forty-four".