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4012822920 = 2335531016247
BaseRepresentation
bin1110111100101110…
…1101000110001000
3101100122211112012010
43233023231012020
531204240313140
61502104415520
7201304301121
oct35713550610
911318745163
104012822920
11177a152287
1293ba775a0
134bc491142
142a0d31048
15187459880
hexef2ed188

4012822920 has 128 divisors (see below), whose sum is σ = 12389034240. Its totient is φ = 1039334400.

The previous prime is 4012822907. The next prime is 4012822967. The reversal of 4012822920 is 292282104.

It is a super-2 number, since 2×40128229202 = 32205495574554652800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 639237 + ... + 645483.

It is an arithmetic number, because the mean of its divisors is an integer number (96789330).

Almost surely, 24012822920 is an apocalyptic number.

4012822920 is a gapful number since it is divisible by the number (40) 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 4012822920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6194517120).

4012822920 is an abundant number, since it is smaller than the sum of its proper divisors (8376211320).

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

4012822920 is a wasteful number, since it uses less digits than its factorization.

4012822920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6415 (or 6411 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 4012822920 is about 63346.8461724812. The cubic root of 4012822920 is about 1589.0955023307.

The spelling of 4012822920 in words is "four billion, twelve million, eight hundred twenty-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 101 106 120 159 202 212 265 303 318 404 424 505 530 606 636 795 808 1010 1060 1212 1272 1515 1590 2020 2120 2424 3030 3180 4040 5353 6060 6247 6360 10706 12120 12494 16059 18741 21412 24988 26765 31235 32118 37482 42824 49976 53530 62470 64236 74964 80295 93705 107060 124940 128472 149928 160590 187410 214120 249880 321180 331091 374820 630947 642360 662182 749640 993273 1261894 1324364 1655455 1892841 1986546 2523788 2648728 3154735 3310910 3785682 3973092 4966365 5047576 6309470 6621820 7571364 7946184 9464205 9932730 12618940 13243640 15142728 18928410 19865460 25237880 33440191 37856820 39730920 66880382 75713640 100320573 133760764 167200955 200641146 267521528 334401910 401282292 501602865 668803820 802564584 1003205730 1337607640 2006411460 4012822920