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2146069772224 = 2675997183617
BaseRepresentation
bin11111001110101011101…
…110011111011111000000
321121011101021220002212221
4133032223232133133000
5240130122330202344
64321520231100424
7311022416040220
oct37165356373700
97534337802787
102146069772224
11758163490704
122a7b0a511714
131274b17b1061
1475c28290080
153ac56a1a184
hex1f3abb9f7c0

2146069772224 has 112 divisors (see below), whose sum is σ = 4954627388160. Its totient is φ = 903213342720.

The previous prime is 2146069772221. The next prime is 2146069772243. The reversal of 2146069772224 is 4222779606412.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2146069772221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25623664 + ... + 25707280.

Almost surely, 22146069772224 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 2146069772224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2477313694080).

2146069772224 is an abundant number, since it is smaller than the sum of its proper divisors (2808557615936).

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

2146069772224 is an equidigital number, since it uses as much as digits as its factorization.

2146069772224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84666 (or 84656 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 52.

The spelling of 2146069772224 in words is "two trillion, one hundred forty-six billion, sixty-nine million, seven hundred seventy-two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 64 112 118 224 236 413 448 472 826 944 971 1652 1888 1942 3304 3776 3884 6608 6797 7768 13216 13594 15536 26432 27188 31072 54376 57289 62144 83617 108752 114578 167234 217504 229156 334468 401023 435008 458312 585319 668936 802046 916624 1170638 1337872 1604092 1833248 2341276 2675744 3208184 3666496 4682552 4933403 5351488 6416368 9365104 9866806 12832736 18730208 19733612 25665472 34533821 37460416 39467224 69067642 78934448 81192107 138135284 157868896 162384214 276270568 315737792 324768428 552541136 568344749 649536856 1105082272 1136689498 1299073712 2210164544 2273378996 2598147424 4546757992 4790334313 5196294848 9093515984 9580668626 18187031968 19161337252 33532340191 36374063936 38322674504 67064680382 76645349008 134129360764 153290698016 268258721528 306581396032 536517443056 1073034886112 2146069772224