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2190456874983 = 3133197127147073
BaseRepresentation
bin11111111000000001011…
…001110110011111100111
321202101221201001112222210
4133320001121312133213
5241342023424444413
64354140524454503
7314153364142116
oct37700131663747
97671851045883
102190456874983
11774a70889a03
122b46376aa433
1312b73672c0c0
1478039379c7d
153bea373e3c3
hex1fe016767e7

2190456874983 has 64 divisors (see below), whose sum is σ = 3306054090752. Its totient is φ = 1280867696640.

The previous prime is 2190456874877. The next prime is 2190456875011. The reversal of 2190456874983 is 3894786540912.

It is a happy number.

It is not a de Polignac number, because 2190456874983 - 210 = 2190456873959 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2190456874483) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14820135 + ... + 14967207.

It is an arithmetic number, because the mean of its divisors is an integer number (51657095168).

It is a 1-persistent number, because it is pandigital, but 2⋅2190456874983 = 4380913749966 is not.

Almost surely, 22190456874983 is an apocalyptic number.

2190456874983 is a deficient number, since it is larger than the sum of its proper divisors (1115597215769).

2190456874983 is a wasteful number, since it uses less digits than its factorization.

2190456874983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147344.

The product of its (nonzero) digits is 104509440, while the sum is 66.

The spelling of 2190456874983 in words is "two trillion, one hundred ninety billion, four hundred fifty-six million, eight hundred seventy-four thousand, nine hundred eighty-three".

Divisors: 1 3 13 31 39 93 97 127 291 381 403 1209 1261 1651 3007 3783 3937 4953 9021 11811 12319 36957 39091 51181 117273 147073 153543 160147 381889 441219 480441 1145667 1911949 4559263 4964557 5735847 13677789 14266081 14893671 18678271 42798243 56034813 59270419 177811257 185459053 242817523 442248511 556377159 579026401 728452569 1326745533 1737079203 1811792287 5435376861 5749230643 7527343213 17247691929 22582029639 23553299731 56165560897 70659899193 168496682691 730152291661 2190456874983