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2138644495872 = 29323591292801
BaseRepresentation
bin11111000111110001001…
…001010011111000000000
321120110012210220222121200
4133013301021103320000
5240014420442331442
64314251341421200
7310340414163213
oct37076111237000
97513183828550
102138644495872
11754aa3077685
122a659786a800
1312689a356901
147572206d77a
153a96ebe834c
hex1f1f1253e00

2138644495872 has 120 divisors (see below), whose sum is σ = 6189470567280. Its totient is φ = 710895206400.

The previous prime is 2138644495861. The next prime is 2138644495903. The reversal of 2138644495872 is 2785944468312.

2138644495872 is a `hidden beast` number, since 2 + 1 + 3 + 8 + 6 + 4 + 4 + 49 + 587 + 2 = 666.

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 11 ways as a sum of consecutive naturals, for example, 1007872 + ... + 2300672.

It is an arithmetic number, because the mean of its divisors is an integer number (51578921394).

Almost surely, 22138644495872 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 2138644495872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3094735283640).

2138644495872 is an abundant number, since it is smaller than the sum of its proper divisors (4050826071408).

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

2138644495872 is a wasteful number, since it uses less digits than its factorization.

2138644495872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293184 (or 1293165 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 63.

The spelling of 2138644495872 in words is "two trillion, one hundred thirty-eight billion, six hundred forty-four million, four hundred ninety-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 359 384 512 576 718 768 1077 1152 1436 1536 2154 2304 2872 3231 4308 4608 5744 6462 8616 11488 12924 17232 22976 25848 34464 45952 51696 68928 91904 103392 137856 183808 206784 275712 413568 551424 827136 1292801 1654272 2585602 3878403 5171204 7756806 10342408 11635209 15513612 20684816 23270418 31027224 41369632 46540836 62054448 82739264 93081672 124108896 165478528 186163344 248217792 330957056 372326688 464115559 496435584 661914112 744653376 928231118 992871168 1392346677 1489306752 1856462236 1985742336 2784693354 2978613504 3712924472 4177040031 5569386708 5957227008 7425848944 8354080062 11138773416 14851697888 16708160124 22277546832 29703395776 33416320248 44555093664 59406791552 66832640496 89110187328 118813583104 133665280992 178220374656 237627166208 267330561984 356440749312 534661123968 712881498624 1069322247936 2138644495872