Search a number
-
+
30857633560 = 23513391115173
BaseRepresentation
bin11100101111010000…
…100001111100011000
32221122112002012110001
4130233100201330120
51001144023233220
622101550102344
72141452362145
oct345720417430
987575065401
1030857633560
11120a53698a6
125b921aa9b4
132ba9c76a90
1416ca2d73cc
15c0908780a
hex72f421f18

30857633560 has 64 divisors (see below), whose sum is σ = 74794466880. Its totient is φ = 11389923840.

The previous prime is 30857633551. The next prime is 30857633561. The reversal of 30857633560 is 6533675803.

It is a happy number.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 30857633560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30857633561) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2026134 + ... + 2041306.

It is an arithmetic number, because the mean of its divisors is an integer number (1168663545).

Almost surely, 230857633560 is an apocalyptic number.

It is an amenable number.

30857633560 is an abundant number, since it is smaller than the sum of its proper divisors (43936833320).

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

30857633560 is a wasteful number, since it uses less digits than its factorization.

30857633560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19108 (or 19104 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 46.

The spelling of 30857633560 in words is "thirty billion, eight hundred fifty-seven million, six hundred thirty-three thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 3911 7822 15173 15644 19555 30346 31288 39110 50843 60692 75865 78220 101686 121384 151730 156440 197249 203372 254215 303460 394498 406744 508430 606920 788996 986245 1016860 1577992 1972490 2033720 3944980 7889960 59341603 118683206 237366412 296708015 474732824 593416030 771440839 1186832060 1542881678 2373664120 3085763356 3857204195 6171526712 7714408390 15428816780 30857633560