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145132161006 = 23737502318593
BaseRepresentation
bin1000011100101010001…
…1010000011111101110
3111212121111202200010110
42013022203100133232
54334212313123011
6150401153520450
713325340004560
oct2071243203756
9455544680113
10145132161006
1156606359718
1224164573126
13108bbc14b61
14704b093330
153b96581ba6
hex21ca8d07ee

145132161006 has 64 divisors (see below), whose sum is σ = 340782501888. Its totient is φ = 40335418368.

The previous prime is 145132160983. The next prime is 145132161049. The reversal of 145132161006 is 600161231541.

It is a happy number.

145132161006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7796446 + ... + 7815038.

It is an arithmetic number, because the mean of its divisors is an integer number (5324726592).

Almost surely, 2145132161006 is an apocalyptic number.

145132161006 is an abundant number, since it is smaller than the sum of its proper divisors (195650340882).

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

145132161006 is a wasteful number, since it uses less digits than its factorization.

145132161006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23665.

The product of its (nonzero) digits is 4320, while the sum is 30.

Adding to 145132161006 its reverse (600161231541), we get a palindrome (745293392547).

The spelling of 145132161006 in words is "one hundred forty-five billion, one hundred thirty-two million, one hundred sixty-one thousand, six".

Divisors: 1 2 3 6 7 14 21 37 42 74 111 222 259 518 777 1554 5023 10046 15069 18593 30138 35161 37186 55779 70322 105483 111558 130151 185851 210966 260302 371702 390453 557553 687941 780906 1115106 1300957 1375882 2063823 2601914 3902871 4127646 4815587 7805742 9631174 14446761 28893522 93392639 186785278 280177917 560355834 653748473 1307496946 1961245419 3455527643 3922490838 6911055286 10366582929 20733165858 24188693501 48377387002 72566080503 145132161006