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41661345375 = 32531317416167
BaseRepresentation
bin100110110011001101…
…011010111001011111
310222112110011121220200
4212303031122321133
51140310301023000
631050003114543
73003256410216
oct466315327137
9128473147820
1041661345375
111673981a451
1280a8372a53
133c0c316770
1420330b007d
15113c7a2500
hex9b335ae5f

41661345375 has 384 divisors, whose sum is σ = 90493708032. Its totient is φ = 18247680000.

The previous prime is 41661345337. The next prime is 41661345403. The reversal of 41661345375 is 57354316614.

41661345375 is a `hidden beast` number, since 41 + 66 + 13 + 4 + 537 + 5 = 666.

It is not a de Polignac number, because 41661345375 - 26 = 41661345311 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 41661345375.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 621811092 + ... + 621811158.

It is an arithmetic number, because the mean of its divisors is an integer number (235660698).

Almost surely, 241661345375 is an apocalyptic number.

41661345375 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

41661345375 is an abundant number, since it is smaller than the sum of its proper divisors (48832362657).

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

41661345375 is a wasteful number, since it uses less digits than its factorization.

41661345375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 207 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The spelling of 41661345375 in words is "forty-one billion, six hundred sixty-one million, three hundred forty-five thousand, three hundred seventy-five".