Search a number
-
+
23041761104 = 2417311421647
BaseRepresentation
bin10101011101011001…
…010101111101010000
32012110211010202001102
4111131121111331100
5334142142323404
614330224523532
71443665511035
oct253531257520
965424122042
1023041761104
11985452317a
1245707805a8
13223292148b
14118827d38c
158ecd0d71e
hex55d655f50

23041761104 has 80 divisors (see below), whose sum is σ = 47607595776. Its totient is φ = 10765977600.

The previous prime is 23041761103. The next prime is 23041761107. The reversal of 23041761104 is 40116714032.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23041761101) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 35612909 + ... + 35613555.

Almost surely, 223041761104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23041761104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23803797888).

23041761104 is an abundant number, since it is smaller than the sum of its proper divisors (24565834672).

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

23041761104 is a wasteful number, since it uses less digits than its factorization.

23041761104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The spelling of 23041761104 in words is "twenty-three billion, forty-one million, seven hundred sixty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 17 34 68 136 272 311 421 622 647 842 1244 1294 1684 2488 2588 3368 4976 5176 5287 6736 7157 10352 10574 10999 14314 21148 21998 28628 42296 43996 57256 84592 87992 114512 130931 175984 201217 261862 272387 402434 523724 544774 804868 1047448 1089548 1609736 2094896 2179096 2225827 3219472 3420689 4358192 4451654 4630579 6841378 8903308 9261158 13682756 17806616 18522316 27365512 35613232 37044632 54731024 74089264 84712357 169424714 338849428 677698856 1355397712 1440110069 2880220138 5760440276 11520880552 23041761104