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10065044132 = 221113127349397
BaseRepresentation
bin10010101111110110…
…00110001010100100
3221222110011012220022
421113323012022210
5131103122403012
64342424454312
7504264314663
oct112773061244
927873135808
1010065044132
1142a55006a0
121b4a91a398
13c45312320
146b6a54dda
153dd95a472
hex257ec62a4

10065044132 has 96 divisors (see below), whose sum is σ = 20968550400. Its totient is φ = 4167313920.

The previous prime is 10065044107. The next prime is 10065044137. The reversal of 10065044132 is 23144056001.

10065044132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100650441322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (10065044137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25352558 + ... + 25352954.

It is an arithmetic number, because the mean of its divisors is an integer number (218422400).

Almost surely, 210065044132 is an apocalyptic number.

It is an amenable number.

10065044132 is an abundant number, since it is smaller than the sum of its proper divisors (10903506268).

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

10065044132 is a wasteful number, since it uses less digits than its factorization.

10065044132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The spelling of 10065044132 in words is "ten billion, sixty-five million, forty-four thousand, one hundred thirty-two".

Divisors: 1 2 4 11 13 22 26 44 52 127 143 254 286 349 397 508 572 698 794 1396 1397 1588 1651 2794 3302 3839 4367 4537 5161 5588 6604 7678 8734 9074 10322 15356 17468 18148 18161 20644 36322 44323 49907 50419 56771 72644 88646 99814 100838 113542 138553 177292 199628 201676 227084 277106 487553 554212 554609 576199 655447 975106 1109218 1152398 1310894 1524083 1801189 1950212 2218436 2304796 2621788 3048166 3602378 6096332 6338189 7204756 7209917 12676378 14419834 17596231 19813079 25352756 28839668 35192462 39626158 70384924 79252316 193558541 228751003 387117082 457502006 774234164 915004012 2516261033 5032522066 10065044132