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85541936641 = 7231677691093
BaseRepresentation
bin100111110101010110…
…0100101111000000001
322011210120020121212121
41033222230211320001
52400142213433031
6103144124324241
76115544315200
oct1175254457001
9264716217777
1085541936641
1133307214107
12146b39a3681
1380b333c975
1441d6bcb237
152359cc4011
hex13eab25e01

85541936641 has 48 divisors (see below), whose sum is σ = 104482076160. Its totient is φ = 69742632960.

The previous prime is 85541936587. The next prime is 85541936653. The reversal of 85541936641 is 14663914558.

It is a happy number.

It is not a de Polignac number, because 85541936641 - 211 = 85541934593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85541936681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78262891 + ... + 78263983.

It is an arithmetic number, because the mean of its divisors is an integer number (2176709920).

Almost surely, 285541936641 is an apocalyptic number.

It is an amenable number.

85541936641 is a deficient number, since it is larger than the sum of its proper divisors (18940139519).

85541936641 is a wasteful number, since it uses less digits than its factorization.

85541936641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1974 (or 1967 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 52.

The spelling of 85541936641 in words is "eighty-five billion, five hundred forty-one million, nine hundred thirty-six thousand, six hundred forty-one".

Divisors: 1 7 31 49 67 217 469 769 1093 1519 2077 3283 5383 7651 14539 23839 33883 37681 51523 53557 73231 101773 166873 237181 360661 512617 840517 1168111 1597213 1660267 2270161 2524627 3588319 5883619 11180491 15891127 26056027 41185333 56314639 78263437 111237889 182392189 394202473 1276745323 1745753809 2759417311 12220276663 85541936641