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11432132404 = 2271159631997
BaseRepresentation
bin10101010010110100…
…00111111100110100
31002111201120111110021
422221122013330310
5141403111214104
65130222134524
7553204344040
oct125132077464
932451514407
1011432132404
114937160310
122270721444
1311026096b4
147a643b020
1546d99d754
hex2a9687f34

11432132404 has 96 divisors (see below), whose sum is σ = 25431275520. Its totient is φ = 4367260800.

The previous prime is 11432132389. The next prime is 11432132407. The reversal of 11432132404 is 40423123411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11432132407) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11466034 + ... + 11467030.

It is an arithmetic number, because the mean of its divisors is an integer number (264909120).

Almost surely, 211432132404 is an apocalyptic number.

11432132404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11432132404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12715637760).

11432132404 is an abundant number, since it is smaller than the sum of its proper divisors (13999143116).

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

11432132404 is a wasteful number, since it uses less digits than its factorization.

11432132404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1709 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 11432132404 its reverse (40423123411), we get a palindrome (51855255815).

The spelling of 11432132404 in words is "eleven billion, four hundred thirty-two million, one hundred thirty-two thousand, four hundred four".

Divisors: 1 2 4 7 11 14 22 28 44 59 77 118 154 236 308 413 631 649 826 997 1262 1298 1652 1994 2524 2596 3988 4417 4543 6941 6979 8834 9086 10967 13882 13958 17668 18172 21934 27764 27916 37229 43868 48587 58823 74458 76769 97174 117646 148916 153538 194348 235292 260603 307076 409519 411761 521206 629107 647053 819038 823522 1042412 1258214 1294106 1638076 1647044 2516428 2588212 2866633 4403749 4529371 5733266 6920177 8807498 9058742 11466532 13840354 17614996 18117484 27680708 37117313 48441239 74234626 96882478 148469252 193764956 259821191 408290443 519642382 816580886 1039284764 1633161772 2858033101 5716066202 11432132404