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2254151601564 = 2233533041174989
BaseRepresentation
bin100000110011010101111…
…001111100110110011100
321222111100200220220210020
4200303111321330312130
5243413000302222224
64443313135512140
7321566656321332
oct40632571746634
97874320826706
102254151601564
11799a868a4805
12304a52988650
13134747784825
147b15c7d9b52
153d980515c79
hex20cd5e7cd9c

2254151601564 has 48 divisors (see below), whose sum is σ = 5276351676960. Its totient is φ = 749004636160.

The previous prime is 2254151601557. The next prime is 2254151601571. The reversal of 2254151601564 is 4651061514522.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2254151601557) and next prime (2254151601571).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12794182 + ... + 12969170.

It is an arithmetic number, because the mean of its divisors is an integer number (109923993270).

Almost surely, 22254151601564 is an apocalyptic number.

It is an amenable number.

2254151601564 is an abundant number, since it is smaller than the sum of its proper divisors (3022200075396).

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

2254151601564 is a wasteful number, since it uses less digits than its factorization.

2254151601564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178390 (or 178388 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The spelling of 2254151601564 in words is "two trillion, two hundred fifty-four billion, one hundred fifty-one million, six hundred one thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 12 353 706 1059 1412 2118 3041 4236 6082 9123 12164 18246 36492 174989 349978 524967 699956 1049934 1073473 2099868 2146946 3220419 4293892 6440838 12881676 61771117 123542234 185313351 247084468 370626702 532141549 741253404 1064283098 1596424647 2128566196 3192849294 6385698588 187845966797 375691933594 563537900391 751383867188 1127075800782 2254151601564