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188142503406 = 231113587373561
BaseRepresentation
bin1010111100111000101…
…0101100010111101110
3122222121222022110001220
42233032022230113232
511040303440102111
6222233110444210
716410226615044
oct2571612542756
9588558273056
10188142503406
11728775a1540
1230568663666
13149848602c0
14916b39a394
154d624a1e06
hex2bce2ac5ee

188142503406 has 64 divisors (see below), whose sum is σ = 442823383296. Its totient is φ = 52537478400.

The previous prime is 188142503401. The next prime is 188142503429. The reversal of 188142503406 is 604305241881.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (188142503401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 316866 + ... + 690426.

It is an arithmetic number, because the mean of its divisors is an integer number (6919115364).

Almost surely, 2188142503406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 188142503406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221411691648).

188142503406 is an abundant number, since it is smaller than the sum of its proper divisors (254680879890).

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

188142503406 is a wasteful number, since it uses less digits than its factorization.

188142503406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374177.

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 188142503406 in words is "one hundred eighty-eight billion, one hundred forty-two million, five hundred three thousand, four hundred six".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 286 429 587 858 1174 1761 3522 6457 7631 12914 15262 19371 22893 38742 45786 83941 167882 251823 373561 503646 747122 1120683 2241366 4109171 4856293 8218342 9712586 12327513 14568879 24655026 29137758 53419223 106838446 160257669 219280307 320515338 438560614 657840921 1315681842 2412083377 2850643991 4824166754 5701287982 7236250131 8551931973 14472500262 17103863946 31357083901 62714167802 94071251703 188142503406