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2494907568 = 24347326371
BaseRepresentation
bin1001010010110101…
…0100010010110000
320102212121102210000
42110231110102300
520102144020233
61051322310000
7115553235666
oct22455242260
96385542700
102494907568
111070345a8a
12597658300
13309b6858a
141994c6c36
15e9071d13
hex94b544b0

2494907568 has 100 divisors (see below), whose sum is σ = 7320181528. Its totient is φ = 820212480.

The previous prime is 2494907561. The next prime is 2494907593. The reversal of 2494907568 is 8657094942.

2494907568 is a `hidden beast` number, since 2 + 494 + 90 + 7 + 5 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2494907561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 81423 + ... + 107793.

Almost surely, 22494907568 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 2494907568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3660090764).

2494907568 is an abundant number, since it is smaller than the sum of its proper divisors (4825273960).

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

2494907568 is a wasteful number, since it uses less digits than its factorization.

2494907568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26464 (or 26449 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 2494907568 is about 49949.0497206904. The cubic root of 2494907568 is about 1356.2866494007.

The spelling of 2494907568 in words is "two billion, four hundred ninety-four million, nine hundred seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 73 81 108 144 146 162 216 219 292 324 432 438 584 648 657 876 1168 1296 1314 1752 1971 2628 3504 3942 5256 5913 7884 10512 11826 15768 23652 26371 31536 47304 52742 79113 94608 105484 158226 210968 237339 316452 421936 474678 632904 712017 949356 1265808 1424034 1898712 1925083 2136051 2848068 3797424 3850166 4272102 5696136 5775249 7700332 8544204 11392272 11550498 15400664 17088408 17325747 23100996 30801328 34176816 34651494 46201992 51977241 69302988 92403984 103954482 138605976 155931723 207908964 277211952 311863446 415817928 623726892 831635856 1247453784 2494907568