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200142032166 = 23831492013
BaseRepresentation
bin1011101001100101100…
…1010000110100100110
3201010121020112200000000
42322121121100310212
511234342330012131
6231535522202130
720313464126646
oct2723131206446
9633536480000
10200142032166
1177974a6105a
12329571b3346
1315b4788b48b
149988cd4526
155315b7cce6
hex2e99650d26

200142032166 has 72 divisors (see below), whose sum is σ = 464823338304. Its totient is φ = 64561814640.

The previous prime is 200142032119. The next prime is 200142032177. The reversal of 200142032166 is 661230241002.

200142032166 is a `hidden beast` number, since 20 + 0 + 1 + 420 + 3 + 216 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 160776 + ... + 652788.

Almost surely, 2200142032166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200142032166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232411669152).

200142032166 is an abundant number, since it is smaller than the sum of its proper divisors (264681306138).

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

200142032166 is an frugal number, since it uses more digits than its factorization.

200142032166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492070 (or 492049 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 200142032166 its reverse (661230241002), we get a palindrome (861372273168).

The spelling of 200142032166 in words is "two hundred billion, one hundred forty-two million, thirty-two thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 162 186 243 279 486 558 729 837 1458 1674 2187 2511 4374 5022 6561 7533 13122 15066 22599 45198 67797 135594 203391 406782 492013 984026 1476039 2952078 4428117 8856234 13284351 15252403 26568702 30504806 39853053 45757209 79706106 91514418 119559159 137271627 239118318 274543254 358677477 411814881 717354954 823629762 1076032431 1235444643 2152064862 2470889286 3228097293 3706333929 6456194586 7412667858 11119001787 22238003574 33357005361 66714010722 100071016083 200142032166