Search a number
-
+
2428598092816 = 247479512
BaseRepresentation
bin100011010101110011101…
…110100000010000010000
322121011122011202212012201
4203111303232200100100
5304242232102432231
65055403233332544
7340313632120000
oct43256356402020
98534564685181
102428598092816
11856a65345635
12332818707154
1314802899bc0c
148578ac10000
15432903d0161
hex23573ba0410

2428598092816 has 75 divisors (see below), whose sum is σ = 5490007457343. Its totient is φ = 1040696848800.

The previous prime is 2428598092787. The next prime is 2428598092859. The reversal of 2428598092816 is 6182908958242.

The square root of 2428598092816 is 1558396.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 305441641 + ... + 305449591.

Almost surely, 22428598092816 is an apocalyptic number.

2428598092816 is the 1558396-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2428598092816

2428598092816 is an abundant number, since it is smaller than the sum of its proper divisors (3061409364527).

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

2428598092816 is an frugal number, since it uses more digits than its factorization.

2428598092816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15938 (or 7960 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 64.

Multiplying 2428598092816 by its sum of digits (64), we get a square (155430277940224 = 124671682).

The spelling of 2428598092816 in words is "two trillion, four hundred twenty-eight billion, five hundred ninety-eight million, ninety-two thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 343 392 686 784 1372 2401 2744 4802 5488 7951 9604 15902 19208 31804 38416 55657 63608 111314 127216 222628 389599 445256 779198 890512 1558396 2727193 3116792 5454386 6233584 10908772 19090351 21817544 38180702 43635088 63218401 76361404 126436802 152722808 252873604 305445616 442528807 505747208 885057614 1011494416 1770115228 3097701649 3540230456 6195403298 7080460912 12390806596 21683911543 24781613192 43367823086 49563226384 86735646172 151787380801 173471292344 303574761602 346942584688 607149523204 1214299046408 2428598092816