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20234572560 = 2432541685453
BaseRepresentation
bin10010110110000100…
…110001001100010000
31221020011220210022100
4102312010301030100
5312420022310220
613143505040400
71314301012626
oct226604611420
957204823270
1020234572560
118643985944
123b08626100
131ba6178277
14d9d507516
157d6653d90
hex4b6131310

20234572560 has 120 divisors (see below), whose sum is σ = 69611966424. Its totient is φ = 5264271360.

The previous prime is 20234572513. The next prime is 20234572597. The reversal of 20234572560 is 6527543202.

20234572560 is a `hidden beast` number, since 2 + 0 + 2 + 34 + 572 + 56 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6906384 + 20227666176 = 2628^2 + 142224^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 313207 + ... + 372246.

Almost surely, 220234572560 is an apocalyptic number.

20234572560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20234572560 is an abundant number, since it is smaller than the sum of its proper divisors (49377393864).

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

20234572560 is a wasteful number, since it uses less digits than its factorization.

20234572560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685513 (or 685504 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 20234572560 in words is "twenty billion, two hundred thirty-four million, five hundred seventy-two thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 41 45 48 60 72 80 82 90 120 123 144 164 180 205 240 246 328 360 369 410 492 615 656 720 738 820 984 1230 1476 1640 1845 1968 2460 2952 3280 3690 4920 5904 7380 9840 14760 29520 685453 1370906 2056359 2741812 3427265 4112718 5483624 6169077 6854530 8225436 10281795 10967248 12338154 13709060 16450872 20563590 24676308 27418120 28103573 30845385 32901744 41127180 49352616 54836240 56207146 61690770 82254360 84310719 98705232 112414292 123381540 140517865 164508720 168621438 224828584 246763080 252932157 281035730 337242876 421553595 449657168 493526160 505864314 562071460 674485752 843107190 1011728628 1124142920 1264660785 1348971504 1686214380 2023457256 2248285840 2529321570 3372428760 4046914512 5058643140 6744857520 10117286280 20234572560