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5085250944 = 27322957829
BaseRepresentation
bin1001011110001101…
…01100010110000000
3111010101210111212120
410233012230112000
540403311012234
62200334324240
7240005630334
oct45706542600
914111714776
105085250944
11217a545334
12b9b059680
1363070a037
143635337c4
151eb696049
hex12f1ac580

5085250944 has 64 divisors (see below), whose sum is σ = 13566918000. Its totient is φ = 1687652352.

The previous prime is 5085250927. The next prime is 5085250969. The reversal of 5085250944 is 4490525805.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×50852509442 = 51719554326905782272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5085250896 and 5085250905.

It is a congruent number.

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, 59022 + ... + 116850.

Almost surely, 25085250944 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 5085250944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6783459000).

5085250944 is an abundant number, since it is smaller than the sum of its proper divisors (8481667056).

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

5085250944 is a wasteful number, since it uses less digits than its factorization.

5085250944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58075 (or 58063 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The square root of 5085250944 is about 71310.9454712248. The cubic root of 5085250944 is about 1719.6397009870.

The spelling of 5085250944 in words is "five billion, eighty-five million, two hundred fifty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 229 384 458 687 916 1374 1832 2748 3664 5496 7328 10992 14656 21984 29312 43968 57829 87936 115658 173487 231316 346974 462632 693948 925264 1387896 1850528 2775792 3701056 5551584 7402112 11103168 13242841 22206336 26485682 39728523 52971364 79457046 105942728 158914092 211885456 317828184 423770912 635656368 847541824 1271312736 1695083648 2542625472 5085250944