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30789233052 = 223171091499293
BaseRepresentation
bin11100101011001011…
…100110100110011100
32221110202101002120220
4130223023212212130
51001024020424202
622051104041340
72136662106564
oct345313464634
987422332526
1030789233052
111206a7a0556
125b73303250
132b98a482c6
1416c11adda4
15c03075abc
hex72b2e699c

30789233052 has 96 divisors (see below), whose sum is σ = 77288904000. Its totient is φ = 9505492992.

The previous prime is 30789233047. The next prime is 30789233087. The reversal of 30789233052 is 25033298703.

It is a junction number, because it is equal to n+sod(n) for n = 30789232995 and 30789233013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3308518 + ... + 3317810.

It is an arithmetic number, because the mean of its divisors is an integer number (805092750).

Almost surely, 230789233052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30789233052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38644452000).

30789233052 is an abundant number, since it is smaller than the sum of its proper divisors (46499670948).

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

30789233052 is a wasteful number, since it uses less digits than its factorization.

30789233052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9575 (or 9573 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The spelling of 30789233052 in words is "thirty billion, seven hundred eighty-nine million, two hundred thirty-three thousand, fifty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 109 149 204 218 298 327 436 447 596 654 894 1308 1788 1853 2533 3706 5066 5559 7412 7599 9293 10132 11118 15198 16241 18586 22236 27879 30396 32482 37172 48723 55758 64964 97446 111516 157981 194892 276097 315962 473943 552194 631924 828291 947886 1012937 1104388 1384657 1656582 1895772 2025874 2769314 3038811 3313164 4051748 4153971 5538628 6077622 8307942 12155244 16615884 17219929 23539169 34439858 47078338 51659787 68879716 70617507 94156676 103319574 141235014 150927613 206639148 282470028 301855226 452782839 603710452 905565678 1811131356 2565769421 5131538842 7697308263 10263077684 15394616526 30789233052