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30814020820 = 225111713760139
BaseRepresentation
bin11100101100101010…
…001010010011010100
32221112111000110000101
4130230222022103110
51001101342131240
622053351223444
72140412566252
oct345452122324
987474013011
1030814020820
1112082790a10
125b7b677b84
132ba0c16a1b
1416c45c35d2
15c0532039a
hex72ca8a4d4

30814020820 has 96 divisors (see below), whose sum is σ = 75291431040. Its totient is φ = 10468823040.

The previous prime is 30814020781. The next prime is 30814020877. The reversal of 30814020820 is 2802041803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 482311 + ... + 542449.

It is an arithmetic number, because the mean of its divisors is an integer number (784285740).

Almost surely, 230814020820 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 30814020820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37645715520).

30814020820 is an abundant number, since it is smaller than the sum of its proper divisors (44477410220).

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

30814020820 is a wasteful number, since it uses less digits than its factorization.

30814020820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60313 (or 60311 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The spelling of 30814020820 in words is "thirty billion, eight hundred fourteen million, twenty thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 137 170 187 220 274 340 374 548 685 748 935 1370 1507 1870 2329 2740 3014 3740 4658 6028 7535 9316 11645 15070 23290 25619 30140 46580 51238 60139 102476 120278 128095 240556 256190 300695 512380 601390 661529 1022363 1202780 1323058 2044726 2646116 3307645 4089452 5111815 6615290 8239043 10223630 11245993 13230580 16478086 20447260 22491986 32956172 41195215 44983972 56229965 82390430 90629473 112459930 140063731 164780860 181258946 224919860 280127462 362517892 453147365 560254924 700318655 906294730 1400637310 1540701041 1812589460 2801274620 3081402082 6162804164 7703505205 15407010410 30814020820