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4560252672 = 28357110399
BaseRepresentation
bin1000011111100111…
…11110111100000000
3102202210220211122010
410033303332330000
533314411041142
62032302012520
7221002336203
oct41763767400
912683824563
104560252672
111a30164368
12a73277140
13578a11781
1431391193a
151ba540e9c
hex10fcfef00

4560252672 has 72 divisors (see below), whose sum is σ = 12159347200. Its totient is φ = 1517276160.

The previous prime is 4560252637. The next prime is 4560252673. The reversal of 4560252672 is 2762520654.

It is a self number, because there is not a number n which added to its sum of digits gives 4560252672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4560252673) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 433329 + ... + 443727.

Almost surely, 24560252672 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 4560252672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6079673600).

4560252672 is an abundant number, since it is smaller than the sum of its proper divisors (7599094528).

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

4560252672 is a wasteful number, since it uses less digits than its factorization.

4560252672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10989 (or 10975 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The square root of 4560252672 is about 67529.6429133162. The cubic root of 4560252672 is about 1658.2994963212.

The spelling of 4560252672 in words is "four billion, five hundred sixty million, two hundred fifty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 571 768 1142 1713 2284 3426 4568 6852 9136 10399 13704 18272 20798 27408 31197 36544 41596 54816 62394 73088 83192 109632 124788 146176 166384 219264 249576 332768 438528 499152 665536 998304 1331072 1996608 2662144 3993216 5937829 7986432 11875658 17813487 23751316 35626974 47502632 71253948 95005264 142507896 190010528 285015792 380021056 570031584 760042112 1140063168 1520084224 2280126336 4560252672