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41839516499472 = 2432771673765239
BaseRepresentation
bin10011000001101100001011…
…00001001011111000010000
312111010211002211202100020200
421200312011201023320100
520440444312210440342
6224552450350535200
711545543136231046
oct1140660541137020
9174124084670220
1041839516499472
111237104834568a
124838941507500
131a465ac666123
14a49087156396
154c851daa294c
hex260d8584be10

41839516499472 has 60 divisors (see below), whose sum is σ = 117094084248960. Its totient is φ = 13946321064384.

The previous prime is 41839516499411. The next prime is 41839516499479. The reversal of 41839516499472 is 27499461593814.

41839516499472 is a `hidden beast` number, since 4 + 1 + 8 + 3 + 9 + 5 + 1 + 64 + 99 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 41839516499472.

It is not an unprimeable number, because it can be changed into a prime (41839516499479) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9229429 + ... + 12994667.

It is an arithmetic number, because the mean of its divisors is an integer number (1951568070816).

Almost surely, 241839516499472 is an apocalyptic number.

It is an amenable number.

41839516499472 is an abundant number, since it is smaller than the sum of its proper divisors (75254567749488).

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

41839516499472 is a wasteful number, since it uses less digits than its factorization.

41839516499472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3842420 (or 3842411 counting only the distinct ones).

The product of its digits is 470292480, while the sum is 72.

The spelling of 41839516499472 in words is "forty-one trillion, eight hundred thirty-nine billion, five hundred sixteen million, four hundred ninety-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 77167 154334 231501 308668 463002 617336 694503 926004 1234672 1389006 1852008 2778012 3704016 3765239 5556024 7530478 11112048 11295717 15060956 22591434 30121912 33887151 45182868 60243824 67774302 90365736 135548604 180731472 271097208 542194416 290552197913 581104395826 871656593739 1162208791652 1743313187478 2324417583304 2614969781217 3486626374956 4648835166608 5229939562434 6973252749912 10459879124868 13946505499824 20919758249736 41839516499472