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41676912033757 = 71113134807308851
BaseRepresentation
bin10010111100111101010011…
…00010010111111111011101
312110120021101122202121221121
421132132221202113333131
520430313303440040012
6224350035320530541
711531025506124250
oct1136365142277735
9173507348677847
1041676912033757
1112309096367920
124811321620a51
131a34167951a40
14a4125d79b097
154c41a3651a07
hex25e7a9897fdd

41676912033757 has 32 divisors (see below), whose sum is σ = 55958408239104. Its totient is φ = 29977079832000.

The previous prime is 41676912033707. The next prime is 41676912033761. The reversal of 41676912033757 is 75733021967614.

It is a happy number.

It is not a de Polignac number, because 41676912033757 - 215 = 41676912000989 is a prime.

It is a Smith number, since the sum of its digits (61) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 41676912033695 and 41676912033704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41676912033707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134787382 + ... + 135096232.

It is an arithmetic number, because the mean of its divisors is an integer number (1748700257472).

Almost surely, 241676912033757 is an apocalyptic number.

It is an amenable number.

41676912033757 is a deficient number, since it is larger than the sum of its proper divisors (14281496205347).

41676912033757 is a wasteful number, since it uses less digits than its factorization.

41676912033757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443689.

The product of its (nonzero) digits is 40007520, while the sum is 61.

The spelling of 41676912033757 in words is "forty-one trillion, six hundred seventy-six billion, nine hundred twelve million, thirty-three thousand, seven hundred fifty-seven".

Divisors: 1 7 11 13 77 91 143 1001 134807 308851 943649 1482877 1752491 2161957 3397361 4015063 10380139 12267437 19277401 23781527 28105441 44165693 134941807 309159851 41635276757 291446937299 457988044327 541258597841 3205916310289 3788810184887 5953844576251 41676912033757