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30167445420 = 22325752345779
BaseRepresentation
bin11100000110000111…
…101010111110101100
32212212102101000022100
4130012013222332230
5443240331223140
621505253015100
72115402024630
oct340607527654
985772330270
1030167445420
1111880811282
125a1b024490
132ac9c91728
141662794dc0
15bb86a2530
hex7061eafac

30167445420 has 144 divisors (see below), whose sum is σ = 104782728960. Its totient is φ = 6882081408.

The previous prime is 30167445383. The next prime is 30167445439. The reversal of 30167445420 is 2454476103.

30167445420 is a `hidden beast` number, since 30 + 16 + 74 + 4 + 542 + 0 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 636091 + ... + 681869.

It is an arithmetic number, because the mean of its divisors is an integer number (727657840).

Almost surely, 230167445420 is an apocalyptic number.

30167445420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30167445420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52391364480).

30167445420 is an abundant number, since it is smaller than the sum of its proper divisors (74615283540).

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

30167445420 is a wasteful number, since it uses less digits than its factorization.

30167445420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46324 (or 46319 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 30167445420 in words is "thirty billion, one hundred sixty-seven million, four hundred forty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 523 630 1046 1260 1569 2092 2615 3138 3661 4707 5230 6276 7322 7845 9414 10460 10983 14644 15690 18305 18828 21966 23535 31380 32949 36610 43932 45779 47070 54915 65898 73220 91558 94140 109830 131796 137337 164745 183116 219660 228895 274674 320453 329490 412011 457790 549348 640906 658980 686685 824022 915580 961359 1281812 1373370 1602265 1648044 1922718 2060055 2746740 2884077 3204530 3845436 4120110 4806795 5768154 6409060 8240220 9613590 11536308 14420385 19227180 23942417 28840770 47884834 57681540 71827251 95769668 119712085 143654502 167596919 215481753 239424170 287309004 335193838 359136255 430963506 478848340 502790757 670387676 718272510 837984595 861927012 1005581514 1077408765 1436545020 1508372271 1675969190 2011163028 2154817530 2513953785 3016744542 3351938380 4309635060 5027907570 6033489084 7541861355 10055815140 15083722710 30167445420