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5259772416 = 2938341257
BaseRepresentation
bin1001110011000000…
…11100001000000000
3111120120012010022210
410321200130020000
541233000204131
62225531102120
7244225220313
oct47140341000
914516163283
105259772416
11225a005958
1210295a1940
1365a913392
1437c7a297a
1520bb6b146
hex13981c200

5259772416 has 80 divisors (see below), whose sum is σ = 14181529824. Its totient is φ = 1732091904.

The previous prime is 5259772403. The next prime is 5259772423. The reversal of 5259772416 is 6142779525.

It is a super-2 number, since 2×52597724162 = 55330411736228954112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106860 + ... + 148116.

Almost surely, 25259772416 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 5259772416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7090764912).

5259772416 is an abundant number, since it is smaller than the sum of its proper divisors (8921757408).

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

5259772416 is an equidigital number, since it uses as much as digits as its factorization.

5259772416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41361 (or 41345 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 48.

The square root of 5259772416 is about 72524.2884556615. The cubic root of 5259772416 is about 1739.0910406427.

The spelling of 5259772416 in words is "five billion, two hundred fifty-nine million, seven hundred seventy-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 128 166 192 249 256 332 384 498 512 664 768 996 1328 1536 1992 2656 3984 5312 7968 10624 15936 21248 31872 41257 42496 63744 82514 123771 127488 165028 247542 330056 495084 660112 990168 1320224 1980336 2640448 3424331 3960672 5280896 6848662 7921344 10272993 10561792 13697324 15842688 20545986 21123584 27394648 31685376 41091972 54789296 63370752 82183944 109578592 164367888 219157184 328735776 438314368 657471552 876628736 1314943104 1753257472 2629886208 5259772416