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2097408258232 = 2372191013277993
BaseRepresentation
bin11110100001010111010…
…001100011000010111000
321102111202222200001212221
4132201113101203002320
5233330443003230412
64243311442013424
7304350506016100
oct36412721430270
97374688601787
102097408258232
11739562311a41
1229a5a9947274
13122a281329b1
147372d61c200
1539859918b07
hex1e8574630b8

2097408258232 has 96 divisors (see below), whose sum is σ = 4820249163600. Its totient is φ = 850735581696.

The previous prime is 2097408258229. The next prime is 2097408258247. The reversal of 2097408258232 is 2328528047902.

It is a self number, because there is not a number n which added to its sum of digits gives 2097408258232.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7405828 + ... + 7683820.

Almost surely, 22097408258232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2097408258232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2410124581800).

2097408258232 is an abundant number, since it is smaller than the sum of its proper divisors (2722840905368).

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

2097408258232 is a wasteful number, since it uses less digits than its factorization.

2097408258232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279045 (or 279034 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 52.

The spelling of 2097408258232 in words is "two trillion, ninety-seven billion, four hundred eight million, two hundred fifty-eight thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 19 28 38 49 56 76 98 133 152 196 266 392 532 931 1013 1064 1862 2026 3724 4052 7091 7448 8104 14182 19247 28364 38494 49637 56728 76988 99274 134729 153976 198548 269458 277993 397096 538916 555986 943103 1077832 1111972 1886206 1945951 2223944 3772412 3891902 5281867 7544824 7783804 10563734 13621657 15567608 21127468 27243314 36973069 42254936 54486628 73946138 108973256 147892276 258811483 281606909 295784552 517622966 563213818 1035245932 1126427636 1971248363 2070491864 2252855272 3942496726 5350531271 7884993452 10701062542 13798738541 15769986904 21402125084 27597477082 37453718897 42804250168 55194954164 74907437794 110389908328 149814875588 262176032279 299629751176 524352064558 1048704129116 2097408258232