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20481614240 = 255297162171
BaseRepresentation
bin10011000100110011…
…001010000110100000
31221212101202210210012
4103010303022012200
5313421243123430
613224212024052
71323360564023
oct230463120640
957771683705
1020481614240
118760378a1a
123b77302028
131c153c3289
14dc42531ba
157ed1a1695
hex4c4cca1a0

20481614240 has 96 divisors (see below), whose sum is σ = 50762194560. Its totient is φ = 7798604800.

The previous prime is 20481614221. The next prime is 20481614249. The reversal of 20481614240 is 4241618402.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 20481614197 and 20481614206.

It is not an unprimeable number, because it can be changed into a prime (20481614249) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 298355 + ... + 360525.

It is an arithmetic number, because the mean of its divisors is an integer number (528772860).

Almost surely, 220481614240 is an apocalyptic number.

20481614240 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 20481614240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25381097280).

20481614240 is an abundant number, since it is smaller than the sum of its proper divisors (30280580320).

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

20481614240 is a wasteful number, since it uses less digits than its factorization.

20481614240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62286 (or 62278 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The spelling of 20481614240 in words is "twenty billion, four hundred eighty-one million, six hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 71 80 116 142 145 160 232 284 290 355 464 568 580 710 928 1136 1160 1420 2059 2272 2320 2840 4118 4640 5680 8236 10295 11360 16472 20590 32944 41180 62171 65888 82360 124342 164720 248684 310855 329440 497368 621710 994736 1243420 1802959 1989472 2486840 3605918 4414141 4973680 7211836 8828282 9014795 9947360 14423672 17656564 18029590 22070705 28847344 35313128 36059180 44141410 57694688 70626256 72118360 88282820 128010089 141252512 144236720 176565640 256020178 288473440 353131280 512040356 640050445 706262560 1024080712 1280100890 2048161424 2560201780 4096322848 5120403560 10240807120 20481614240