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41187172768 = 257191962677
BaseRepresentation
bin100110010110111100…
…100110000110100000
310221022101221011101021
4212112330212012200
51133322404012033
630530544015224
72655441122620
oct462674460640
9127271834337
1041187172768
11165160a3565
127b95601514
133b65005361
141dca11c880
151110d3bb2d
hex996f261a0

41187172768 has 48 divisors (see below), whose sum is σ = 93156424704. Its totient is φ = 17559210240.

The previous prime is 41187172757. The next prime is 41187172799. The reversal of 41187172768 is 86727178114.

It is a super-4 number, since 4×411871727684 (a number of 44 digits) contains 4444 as substring.

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, 438555 + ... + 524122.

It is an arithmetic number, because the mean of its divisors is an integer number (1940758848).

Almost surely, 241187172768 is an apocalyptic number.

It is an amenable number.

41187172768 is an abundant number, since it is smaller than the sum of its proper divisors (51969251936).

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

41187172768 is a wasteful number, since it uses less digits than its factorization.

41187172768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962885 (or 962877 counting only the distinct ones).

The product of its digits is 1053696, while the sum is 52.

The spelling of 41187172768 in words is "forty-one billion, one hundred eighty-seven million, one hundred seventy-two thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 191 224 382 764 1337 1528 2674 3056 5348 6112 10696 21392 42784 962677 1925354 3850708 6738739 7701416 13477478 15402832 26954956 30805664 53909912 107819824 183871307 215639648 367742614 735485228 1287099149 1470970456 2574198298 2941940912 5148396596 5883881824 10296793192 20593586384 41187172768