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41914215800 = 23521995092069
BaseRepresentation
bin100111000010010010…
…000010110101111000
311000012001222202220222
4213002102002311320
51141320014401200
631131035035212
73012446645612
oct470222026570
9130161882828
1041914215800
1116859533776
128158b9bb08
133c4c822832
1420588d5db2
151154aa1d85
hex9c2482d78

41914215800 has 96 divisors (see below), whose sum is σ = 98180100000. Its totient is φ = 16640616960.

The previous prime is 41914215779. The next prime is 41914215803. The reversal of 41914215800 is 851241914.

It is a super-2 number, since 2×419142158002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41914215803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20257166 + ... + 20259234.

It is an arithmetic number, because the mean of its divisors is an integer number (1022709375).

Almost surely, 241914215800 is an apocalyptic number.

41914215800 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 41914215800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49090050000).

41914215800 is an abundant number, since it is smaller than the sum of its proper divisors (56265884200).

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

41914215800 is a wasteful number, since it uses less digits than its factorization.

41914215800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2793 (or 2784 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 35.

The spelling of 41914215800 in words is "forty-one billion, nine hundred fourteen million, two hundred fifteen thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 199 200 398 509 796 995 1018 1592 1990 2036 2069 2545 3980 4072 4138 4975 5090 7960 8276 9950 10180 10345 12725 16552 19900 20360 20690 25450 39800 41380 50900 51725 82760 101291 101800 103450 202582 206900 405164 411731 413800 506455 810328 823462 1012910 1053121 1646924 2025820 2058655 2106242 2532275 3293848 4051640 4117310 4212484 5064550 5265605 8234620 8424968 10129100 10293275 10531210 16469240 20258200 20586550 21062420 26328025 41173100 42124840 52656050 82346200 105312100 209571079 210624200 419142158 838284316 1047855395 1676568632 2095710790 4191421580 5239276975 8382843160 10478553950 20957107900 41914215800