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103642099493643 = 3231727510972571
BaseRepresentation
bin10111100100001100001110…
…100001100010101100001011
3111120222002101010001201120100
4113210030032201202230023
5102041033004432244033
61004232305002500443
730554615562063024
oct2744141641425413
9446862333051510
10103642099493643
11300294052470a7
12b75a649504723
1345aa53c627119
141b84439313c4b
15beae7ed30513
hex5e430e862b0b

103642099493643 has 24 divisors (see below), whose sum is σ = 154747021485056. Its totient is φ = 66773895447600.

The previous prime is 103642099493629. The next prime is 103642099493663. The reversal of 103642099493643 is 346394990246301.

103642099493643 is a `hidden beast` number, since 1 + 0 + 3 + 64 + 20 + 9 + 9 + 493 + 64 + 3 = 666.

It is not a de Polignac number, because 103642099493643 - 236 = 103573380016907 is a prime.

It is a super-3 number, since 3×1036420994936433 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103642099493663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 255283453 + ... + 255689118.

Almost surely, 2103642099493643 is an apocalyptic number.

103642099493643 is a deficient number, since it is larger than the sum of its proper divisors (51104921991413).

103642099493643 is a wasteful number, since it uses less digits than its factorization.

103642099493643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510973335 (or 510973332 counting only the distinct ones).

The product of its (nonzero) digits is 90699264, while the sum is 63.

The spelling of 103642099493643 in words is "one hundred three trillion, six hundred forty-two billion, ninety-nine million, four hundred ninety-three thousand, six hundred forty-three".

Divisors: 1 3 9 31 93 279 727 2181 6543 22537 67611 202833 510972571 1532917713 4598753139 15840149701 47520449103 142561347309 371477059117 1114431177351 3343293532053 11515788832627 34547366497881 103642099493643