Search a number
-
+
29856872970 = 23654095593
BaseRepresentation
bin11011110011100110…
…111011101000001010
32212001202222022000000
4123303212323220022
5442121324413340
621414400223430
72104611142611
oct336346735012
985052868000
1029856872970
1111731476631
12595300ab76
132a7a831652
14163342c878
15b9b2a5d30
hex6f39bba0a

29856872970 has 56 divisors (see below), whose sum is σ = 80576716356. Its totient is φ = 7961830848.

The previous prime is 29856872957. The next prime is 29856873019. The reversal of 29856872970 is 7927865892.

29856872970 is a `hidden beast` number, since 298 + 56 + 8 + 7 + 297 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29108795769 + 748077201 = 170613^2 + 27351^2 .

It is a junction number, because it is equal to n+sod(n) for n = 29856872898 and 29856872907.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2040507 + ... + 2055086.

Almost surely, 229856872970 is an apocalyptic number.

29856872970 is an abundant number, since it is smaller than the sum of its proper divisors (50719843386).

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

29856872970 is an equidigital number, since it uses as much as digits as its factorization.

29856872970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4095618 (or 4095603 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 29856872970 in words is "twenty-nine billion, eight hundred fifty-six million, eight hundred seventy-two thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 729 810 1215 1458 2430 3645 7290 4095593 8191186 12286779 20477965 24573558 36860337 40955930 61433895 73720674 110581011 122867790 184301685 221162022 331743033 368603370 552905055 663486066 995229099 1105810110 1658715165 1990458198 2985687297 3317430330 4976145495 5971374594 9952290990 14928436485 29856872970