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41452837120 = 28540979181
BaseRepresentation
bin100110100110110010…
…000001100100000000
310221222220211022100201
4212212302001210000
51134343411241440
631013154054544
72665145205352
oct464662014400
9127886738321
1041452837120
1116642056082
12804a57a454
133ba80708b6
1420135150d2
15112931719a
hex9a6c81900

41452837120 has 72 divisors (see below), whose sum is σ = 99536524920. Its totient is φ = 16540385280.

The previous prime is 41452837093. The next prime is 41452837157. The reversal of 41452837120 is 2173825414.

It can be written as a sum of positive squares in 4 ways, for example, as 11570874624 + 29881962496 = 107568^2 + 172864^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 41452837120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 483930 + ... + 563110.

It is an arithmetic number, because the mean of its divisors is an integer number (1382451735).

Almost surely, 241452837120 is an apocalyptic number.

41452837120 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 41452837120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49768262460).

41452837120 is an abundant number, since it is smaller than the sum of its proper divisors (58083687800).

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

41452837120 is an equidigital number, since it uses as much as digits as its factorization.

41452837120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79611 (or 79597 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The spelling of 41452837120 in words is "forty-one billion, four hundred fifty-two million, eight hundred thirty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 409 640 818 1280 1636 2045 3272 4090 6544 8180 13088 16360 26176 32720 52352 65440 79181 104704 130880 158362 261760 316724 395905 523520 633448 791810 1266896 1583620 2533792 3167240 5067584 6334480 10135168 12668960 20270336 25337920 32385029 50675840 64770058 101351680 129540116 161925145 259080232 323850290 518160464 647700580 1036320928 1295401160 2072641856 2590802320 4145283712 5181604640 8290567424 10363209280 20726418560 41452837120