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46205201991 = 3133732020237
BaseRepresentation
bin101011000010000010…
…110110111001000111
311102021010020110101110
4223002002312321013
51224112012430431
633120521500103
73224002510464
oct530202667107
9142233213343
1046205201991
11186606a5153
128b56041633
134484807310
14234475466b
151306655346
hexac20b6e47

46205201991 has 16 divisors (see below), whose sum is σ = 68139066464. Its totient is φ = 27665483904.

The previous prime is 46205201981. The next prime is 46205201993. The reversal of 46205201991 is 19910250264.

It is not a de Polignac number, because 46205201991 - 210 = 46205200967 is a prime.

It is a super-3 number, since 3×462052019913 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46205201993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16008676 + ... + 16011561.

It is an arithmetic number, because the mean of its divisors is an integer number (4258691654).

Almost surely, 246205201991 is an apocalyptic number.

46205201991 is a deficient number, since it is larger than the sum of its proper divisors (21933864473).

46205201991 is a wasteful number, since it uses less digits than its factorization.

46205201991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32020290.

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 46205201991 in words is "forty-six billion, two hundred five million, two hundred one thousand, nine hundred ninety-one".

Divisors: 1 3 13 37 39 111 481 1443 32020237 96060711 416263081 1184748769 1248789243 3554246307 15401733997 46205201991