Search a number
-
+
5072075874 = 233239742101
BaseRepresentation
bin1001011100101000…
…11011110001100010
3111002111000011002000
410232110123301202
540341422411444
62155144104430
7236455635135
oct45624336142
914074004060
105072075874
112173066748
12b96765116
1362aa76238
143618a421c
151ea442469
hex12e51bc62

5072075874 has 64 divisors (see below), whose sum is σ = 11882868480. Its totient is φ = 1600473600.

The previous prime is 5072075849. The next prime is 5072075909. The reversal of 5072075874 is 4785702705.

5072075874 is a `hidden beast` number, since 507 + 2 + 0 + 75 + 8 + 74 = 666.

It is a super-2 number, since 2×50720758742 = 51451907343225727752, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99424 + ... + 141524.

It is an arithmetic number, because the mean of its divisors is an integer number (185669820).

Almost surely, 25072075874 is an apocalyptic number.

5072075874 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5072075874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5941434240).

5072075874 is an abundant number, since it is smaller than the sum of its proper divisors (6810792606).

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

5072075874 is a wasteful number, since it uses less digits than its factorization.

5072075874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42232 (or 42226 counting only the distinct ones).

The product of its (nonzero) digits is 548800, while the sum is 45.

The square root of 5072075874 is about 71218.5079456176. The cubic root of 5072075874 is about 1718.1533129837.

The spelling of 5072075874 in words is "five billion, seventy-two million, seventy-five thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 97 138 194 207 291 414 582 621 873 1242 1746 2231 2619 4462 5238 6693 13386 20079 40158 42101 60237 84202 120474 126303 252606 378909 757818 968323 1136727 1936646 2273454 2904969 4083797 5809938 8167594 8714907 12251391 17429814 24502782 26144721 36754173 52289442 73508346 93927331 110262519 187854662 220525038 281781993 563563986 845345979 1690691958 2536037937 5072075874