Search a number
-
+
30161735460 = 223251271319411
BaseRepresentation
bin11100000101110001…
…111000111100100100
32212212000121220201100
4130011301320330210
5443232401013320
621504530400100
72115302343543
oct340561707444
985760556640
1030161735460
11118785712aa
125a19130030
132ac8a4275c
141661b0a15a
15bb7e25790
hex705c78f24

30161735460 has 72 divisors (see below), whose sum is σ = 92211065856. Its totient is φ = 7979791680.

The previous prime is 30161735453. The next prime is 30161735467. The reversal of 30161735460 is 6453716103.

30161735460 is a `hidden beast` number, since 3 + 0 + 1 + 617 + 35 + 4 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (30161735453) and next prime (30161735467).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (30161735467) 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 23 ways as a sum of consecutive naturals, for example, 636846 + ... + 682565.

It is an arithmetic number, because the mean of its divisors is an integer number (1280709248).

Almost surely, 230161735460 is an apocalyptic number.

30161735460 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30161735460 is an abundant number, since it is smaller than the sum of its proper divisors (62049330396).

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

30161735460 is a wasteful number, since it uses less digits than its factorization.

30161735460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319553 (or 1319548 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 30161735460 in words is "thirty billion, one hundred sixty-one million, seven hundred thirty-five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 127 180 254 381 508 635 762 1143 1270 1524 1905 2286 2540 3810 4572 5715 7620 11430 22860 1319411 2638822 3958233 5277644 6597055 7916466 11874699 13194110 15832932 19791165 23749398 26388220 39582330 47498796 59373495 79164660 118746990 167565197 237493980 335130394 502695591 670260788 837825985 1005391182 1508086773 1675651970 2010782364 2513477955 3016173546 3351303940 5026955910 6032347092 7540433865 10053911820 15080867730 30161735460