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41456147820 = 22351498395527
BaseRepresentation
bin100110100110111110…
…101001110101101100
310222000011001111210020
4212212332221311230
51134400233212240
631013353042140
72665215304503
oct464676516554
9128004044706
1041456147820
1116643a0749a
12804b6b6350
133ba895c7a9
142013b3783a
15112976d0d0
hex9a6fa9d6c

41456147820 has 96 divisors (see below), whose sum is σ = 117016704000. Its totient is φ = 10965705984.

The previous prime is 41456147801. The next prime is 41456147833. The reversal of 41456147820 is 2874165414.

It is a super-2 number, since 2×414561478202 (a number of 22 digits) contains 22 as substring.

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, 7497897 + ... + 7503423.

It is an arithmetic number, because the mean of its divisors is an integer number (1218924000).

Almost surely, 241456147820 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 41456147820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58508352000).

41456147820 is an abundant number, since it is smaller than the sum of its proper divisors (75560556180).

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

41456147820 is a wasteful number, since it uses less digits than its factorization.

41456147820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6527 (or 6525 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 41456147820 in words is "forty-one billion, four hundred fifty-six million, one hundred forty-seven thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 149 298 447 596 745 839 894 1490 1678 1788 2235 2517 2980 3356 4195 4470 5034 5527 8390 8940 10068 11054 12585 16581 16780 22108 25170 27635 33162 50340 55270 66324 82905 110540 125011 165810 250022 331620 375033 500044 625055 750066 823523 1250110 1500132 1647046 1875165 2470569 2500220 3294092 3750330 4117615 4637153 4941138 7500660 8235230 9274306 9882276 12352845 13911459 16470460 18548612 23185765 24705690 27822918 46371530 49411380 55645836 69557295 92743060 139114590 278229180 690935797 1381871594 2072807391 2763743188 3454678985 4145614782 6909357970 8291229564 10364036955 13818715940 20728073910 41456147820