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64874040224 = 257417978863
BaseRepresentation
bin111100011010110010…
…110100101110100000
320012110011221200222112
4330122302310232200
52030330223241344
645445215454452
74454432146340
oct743262645640
9205404850875
1064874040224
1125570782684
12106a6227428
13616b486266
1431d5d26d20
151a4a5c7c9e
hexf1acb4ba0

64874040224 has 96 divisors (see below), whose sum is σ = 149731255296. Its totient is φ = 27087943680.

The previous prime is 64874040199. The next prime is 64874040227. The reversal of 64874040224 is 42204047846.

64874040224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (64874040227) 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, 7315217 + ... + 7324079.

It is an arithmetic number, because the mean of its divisors is an integer number (1559700576).

Almost surely, 264874040224 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 64874040224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74865627648).

64874040224 is an abundant number, since it is smaller than the sum of its proper divisors (84857215072).

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

64874040224 is a wasteful number, since it uses less digits than its factorization.

64874040224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9718 (or 9710 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 41.

The spelling of 64874040224 in words is "sixty-four billion, eight hundred seventy-four million, forty thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 82 112 164 224 287 328 574 656 797 1148 1312 1594 2296 3188 4592 5579 6376 8863 9184 11158 12752 17726 22316 25504 32677 35452 44632 62041 65354 70904 89264 124082 130708 141808 178528 228739 248164 261416 283616 363383 457478 496328 522832 726766 914956 992656 1045664 1453532 1829912 1985312 2543681 2907064 3659824 5087362 5814128 7063811 7319648 10174724 11628256 14127622 20349448 28255244 40698896 49446677 56510488 81397792 98893354 113020976 197786708 226041952 289616251 395573416 579232502 791146832 1158465004 1582293664 2027313757 2316930008 4054627514 4633860016 8109255028 9267720032 16218510056 32437020112 64874040224