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2091885972 = 22311172340531
BaseRepresentation
bin111110010101111…
…1010010110010100
312101210020211002020
41330223322112110
513241010322342
6543324213140
7102560510631
oct17453722624
95353224066
102091885972
119838a6990
124a469a1b0
13274509867
1415bb77188
15c39b30ec
hex7cafa594

2091885972 has 96 divisors (see below), whose sum is σ = 5883300864. Its totient is φ = 570662400.

The previous prime is 2091885931. The next prime is 2091886007. The reversal of 2091885972 is 2795881902.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31347 + ... + 71877.

It is an arithmetic number, because the mean of its divisors is an integer number (61284384).

Almost surely, 22091885972 is an apocalyptic number.

2091885972 is a gapful number since it is divisible by the number (22) 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 2091885972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2941650432).

2091885972 is an abundant number, since it is smaller than the sum of its proper divisors (3791414892).

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

2091885972 is a wasteful number, since it uses less digits than its factorization.

2091885972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40589 (or 40587 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 51.

The square root of 2091885972 is about 45737.1399630541. The cubic root of 2091885972 is about 1278.9277258522.

The spelling of 2091885972 in words is "two billion, ninety-one million, eight hundred eighty-five thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 17 22 23 33 34 44 46 51 66 68 69 92 102 132 138 187 204 253 276 374 391 506 561 748 759 782 1012 1122 1173 1518 1564 2244 2346 3036 4301 4692 8602 12903 17204 25806 40531 51612 81062 121593 162124 243186 445841 486372 689027 891682 932213 1337523 1378054 1783364 1864426 2067081 2675046 2756108 2796639 3728852 4134162 5350092 5593278 7579297 8268324 10254343 11186556 15158594 15847621 20508686 22737891 30317188 30763029 31695242 41017372 45475782 47542863 61526058 63390484 90951564 95085726 123052116 174323831 190171452 348647662 522971493 697295324 1045942986 2091885972