Search a number
-
+
71512800030 = 23257113512381
BaseRepresentation
bin100001010011001111…
…1101011101100011110
320211120211221122101100
41002212133223230132
52132424234100110
652504051253530
75111103525240
oct1024637535436
9224524848340
1071512800030
1128368125131
1211a395aa2a6
13698899bab9
1436658cc090
151cd8337bc0
hex10a67ebb1e

71512800030 has 48 divisors (see below), whose sum is σ = 212495179104. Its totient is φ = 16345782720.

The previous prime is 71512800011. The next prime is 71512800059. The reversal of 71512800030 is 3000821517.

71512800030 is a `hidden beast` number, since 71 + 512 + 80 + 0 + 0 + 3 + 0 = 666.

It is a super-2 number, since 2×715128000302 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 71512799967 and 71512800003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56755561 + ... + 56756820.

It is an arithmetic number, because the mean of its divisors is an integer number (4426982898).

Almost surely, 271512800030 is an apocalyptic number.

71512800030 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

71512800030 is an abundant number, since it is smaller than the sum of its proper divisors (140982379074).

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

71512800030 is a wasteful number, since it uses less digits than its factorization.

71512800030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113512401 (or 113512398 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 71512800030 in words is "seventy-one billion, five hundred twelve million, eight hundred thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 113512381 227024762 340537143 567561905 681074286 794586667 1021611429 1135123810 1589173334 1702685715 2043222858 2383760001 3405371430 3972933335 4767520002 5108057145 7151280003 7945866670 10216114290 11918800005 14302560006 23837600010 35756400015 71512800030