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105142049946 = 2331947074999
BaseRepresentation
bin110000111101011110…
…1000101110010011010
3101001101112022112201000
41201322331011302122
53210312331044241
6120145051005430
710411342451523
oct1417275056232
9331345275630
10105142049946
1140654a4535a
1218463a39876
139bb7c1574b
145135d3b84a
152b0589eeb6
hex187af45c9a

105142049946 has 16 divisors (see below), whose sum is σ = 233649000000. Its totient is φ = 35047349964.

The previous prime is 105142049897. The next prime is 105142049981. The reversal of 105142049946 is 649940241501.

105142049946 is a `hidden beast` number, since 1 + 0 + 514 + 2 + 0 + 4 + 99 + 46 = 666.

It is a super-2 number, since 2×1051420499462 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 973537446 + ... + 973537553.

It is an arithmetic number, because the mean of its divisors is an integer number (14603062500).

Almost surely, 2105142049946 is an apocalyptic number.

105142049946 is an abundant number, since it is smaller than the sum of its proper divisors (128506950054).

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

105142049946 is a wasteful number, since it uses less digits than its factorization.

105142049946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1947075010 (or 1947075004 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 105142049946 in words is "one hundred five billion, one hundred forty-two million, forty-nine thousand, nine hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 1947074999 3894149998 5841224997 11682449994 17523674991 35047349982 52571024973 105142049946