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165221604342 = 23237613404699
BaseRepresentation
bin1001100111011111111…
…0011001101111110110
3120210110120121010120100
42121313332121233312
510201333212314332
6203522440214530
714636226315324
oct2316776315766
9523416533510
10165221604342
1164085319853
122803046a446
1312770ca8232
147dd51bcd14
1544700b967c
hex2677f99bf6

165221604342 has 48 divisors (see below), whose sum is σ = 368255955600. Its totient is φ = 53497838016.

The previous prime is 165221604341. The next prime is 165221604349. The reversal of 165221604342 is 243406122561.

165221604342 is a `hidden beast` number, since 1 + 6 + 5 + 2 + 2 + 1 + 604 + 3 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 165221604297 and 165221604306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165221604341) 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, 205909 + ... + 610607.

It is an arithmetic number, because the mean of its divisors is an integer number (7671999075).

Almost surely, 2165221604342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165221604342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184127977800).

165221604342 is an abundant number, since it is smaller than the sum of its proper divisors (203034351258).

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

165221604342 is a wasteful number, since it uses less digits than its factorization.

165221604342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405357 (or 405354 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 165221604342 in words is "one hundred sixty-five billion, two hundred twenty-one million, six hundred four thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 613 666 1226 1839 3678 5517 11034 22681 45362 68043 136086 204129 404699 408258 809398 1214097 2428194 3642291 7284582 14973863 29947726 44921589 89843178 134764767 248080487 269529534 496160974 744241461 1488482922 2232724383 4465448766 9178978019 18357956038 27536934057 55073868114 82610802171 165221604342