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20314546120 = 235111013071489
BaseRepresentation
bin10010111010110101…
…110101111111001000
31221102202101212102001
4102322311311333020
5313101010433440
613155443120344
71316261535661
oct227265657710
957382355361
1020314546120
1186850391a0
123b2b3730b4
131bb98c95bb
14da9da4368
157dd69eb9a
hex4bad75fc8

20314546120 has 128 divisors (see below), whose sum is σ = 50554627200. Its totient is φ = 7285248000.

The previous prime is 20314546099. The next prime is 20314546159. The reversal of 20314546120 is 2164541302.

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, 13642336 + ... + 13643824.

It is an arithmetic number, because the mean of its divisors is an integer number (394958025).

Almost surely, 220314546120 is an apocalyptic number.

20314546120 is a gapful number since it is divisible by the number (20) 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 20314546120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25277313600).

20314546120 is an abundant number, since it is smaller than the sum of its proper divisors (30240081080).

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

20314546120 is a wasteful number, since it uses less digits than its factorization.

20314546120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1919 (or 1915 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The spelling of 20314546120 in words is "twenty billion, three hundred fourteen million, five hundred forty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 202 220 307 404 440 505 614 808 1010 1111 1228 1489 1535 2020 2222 2456 2978 3070 3377 4040 4444 5555 5956 6140 6754 7445 8888 11110 11912 12280 13508 14890 16379 16885 22220 27016 29780 31007 32758 33770 44440 59560 62014 65516 67540 81895 124028 131032 135080 150389 155035 163790 248056 300778 310070 327580 341077 457123 601556 620140 655160 682154 751945 914246 1203112 1240280 1364308 1503890 1654279 1705385 1828492 2285615 2728616 3007780 3308558 3410770 3656984 4571230 5028353 6015560 6617116 6821540 8271395 9142460 10056706 13234232 13643080 16542790 18284920 20113412 25141765 33085580 40226824 46169423 50283530 66171160 92338846 100567060 184677692 201134120 230847115 369355384 461694230 507863653 923388460 1015727306 1846776920 2031454612 2539318265 4062909224 5078636530 10157273060 20314546120