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1146120191999 = 29535095772539
BaseRepresentation
bin10000101011011010000…
…101100011111111111111
311001120100002100021022222
4100223122011203333333
5122234223232120444
62234304221155555
7145542632614466
oct20533205437777
94046302307288
101146120191999
11402080a72952
121661613bbbbb
1384103ab9a03
143d68880d9dd
151ec2e912eee
hex10ada163fff

1146120191999 has 32 divisors (see below), whose sum is σ = 1212960744000. Its totient is φ = 1081282535424.

The previous prime is 1146120191959. The next prime is 1146120192001. The reversal of 1146120191999 is 9991910216411.

It is a cyclic number.

It is not a de Polignac number, because 1146120191999 - 212 = 1146120187903 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1146120191999.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1146120191959) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 451404872 + ... + 451407410.

It is an arithmetic number, because the mean of its divisors is an integer number (37905023250).

Almost surely, 21146120191999 is an apocalyptic number.

1146120191999 is a deficient number, since it is larger than the sum of its proper divisors (66840552001).

1146120191999 is a wasteful number, since it uses less digits than its factorization.

1146120191999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3707.

The product of its (nonzero) digits is 314928, while the sum is 53.

The spelling of 1146120191999 in words is "one trillion, one hundred forty-six billion, one hundred twenty million, one hundred ninety-one thousand, nine hundred ninety-nine".

Divisors: 1 29 53 509 577 1537 2539 14761 16733 26977 30581 73631 134567 293693 782333 886849 1292351 1465003 3902443 8517097 15565729 37478179 42485087 68494603 77645159 451406141 745686527 1986343487 2251709611 21624909283 39521385931 1146120191999