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41152411520 = 275116439091
BaseRepresentation
bin100110010100110111…
…111111011110000000
310221012222112002220122
4212110313333132000
51133240004132040
630523302555412
72654536504103
oct462467773600
9127188462818
1041152411520
11164a8510960
127b85a38b68
133b5aa5417c
141dc567073a
15110cc721b5
hex994dff780

41152411520 has 128 divisors (see below), whose sum is σ = 107502353280. Its totient is φ = 14939596800.

The previous prime is 41152411493. The next prime is 41152411523. The reversal of 41152411520 is 2511425114.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×411524115202 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 41152411520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41152411523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4522175 + ... + 4531265.

It is an arithmetic number, because the mean of its divisors is an integer number (839862135).

Almost surely, 241152411520 is an apocalyptic number.

41152411520 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 41152411520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53751176640).

41152411520 is an abundant number, since it is smaller than the sum of its proper divisors (66349941760).

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

41152411520 is a wasteful number, since it uses less digits than its factorization.

41152411520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9764 (or 9752 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

Adding to 41152411520 its reverse (2511425114), we get a palindrome (43663836634).

The spelling of 41152411520 in words is "forty-one billion, one hundred fifty-two million, four hundred eleven thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 643 704 880 1286 1408 1760 2572 3215 3520 5144 6430 7040 7073 9091 10288 12860 14146 18182 20576 25720 28292 35365 36364 41152 45455 51440 56584 70730 72728 82304 90910 100001 102880 113168 141460 145456 181820 200002 205760 226336 282920 290912 363640 400004 411520 452672 500005 565840 581824 727280 800008 905344 1000010 1131680 1163648 1454560 1600016 2000020 2263360 2909120 3200032 4000040 4526720 5818240 5845513 6400064 8000080 11691026 12800128 16000160 23382052 29227565 32000320 46764104 58455130 64000640 64300643 93528208 116910260 128601286 187056416 233820520 257202572 321503215 374112832 467641040 514405144 643006430 748225664 935282080 1028810288 1286012860 1870564160 2057620576 2572025720 3741128320 4115241152 5144051440 8230482304 10288102880 20576205760 41152411520