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81101148964 = 221141123736343
BaseRepresentation
bin100101110001000000…
…0010101001100100100
321202100002010020101221
41023202000111030210
52312043343231324
6101131331030124
75600522251303
oct1134200251444
9252302106357
1081101148964
1131438536650
121387473b344
1378562c8754
143cd50d643a
152199ed00e4
hex12e2015324

81101148964 has 48 divisors (see below), whose sum is σ = 158738380416. Its totient is φ = 35934969600.

The previous prime is 81101148959. The next prime is 81101149001. The reversal of 81101148964 is 46984110118.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 81101148964.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2213377 + ... + 2249719.

It is an arithmetic number, because the mean of its divisors is an integer number (3307049592).

Almost surely, 281101148964 is an apocalyptic number.

It is an amenable number.

81101148964 is a deficient number, since it is larger than the sum of its proper divisors (77637231452).

81101148964 is a wasteful number, since it uses less digits than its factorization.

81101148964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37636 (or 37634 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 43.

The spelling of 81101148964 in words is "eighty-one billion, one hundred one million, one hundred forty-eight thousand, nine hundred sixty-four".

Divisors: 1 2 4 11 22 41 44 82 164 451 902 1237 1804 2474 4948 13607 27214 36343 50717 54428 72686 101434 145372 202868 399773 557887 799546 1115774 1490063 1599092 2231548 2980126 5960252 16390693 32781386 44956291 65562772 89912582 179825164 494519201 989038402 1843207931 1978076804 3686415862 7372831724 20275287241 40550574482 81101148964