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10742432652 = 22337109130363
BaseRepresentation
bin10100000000100110…
…01000001110001100
31000201122210010021000
422000103020032030
5134000030321102
64533543340300
7530131112430
oct120023101614
930648703230
1010742432652
114612906716
1220b9751690
131022765733
1473c9c49c0
1542d16301c
hex2804c838c

10742432652 has 96 divisors (see below), whose sum is σ = 32121689600. Its totient is φ = 3041084736.

The previous prime is 10742432627. The next prime is 10742432653. The reversal of 10742432652 is 25623424701.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10742432653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17223 + ... + 147585.

Almost surely, 210742432652 is an apocalyptic number.

10742432652 is a gapful number since it is divisible by the number (12) 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 10742432652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16060844800).

10742432652 is an abundant number, since it is smaller than the sum of its proper divisors (21379256948).

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

10742432652 is a wasteful number, since it uses less digits than its factorization.

10742432652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130492 (or 130484 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 10742432652 in words is "ten billion, seven hundred forty-two million, four hundred thirty-two thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 109 126 189 218 252 327 378 436 654 756 763 981 1308 1526 1962 2289 2943 3052 3924 4578 5886 6867 9156 11772 13734 20601 27468 41202 82404 130363 260726 391089 521452 782178 912541 1173267 1564356 1825082 2346534 2737623 3519801 3650164 4693068 5475246 7039602 8212869 10950492 14079204 14209567 16425738 24638607 28419134 32851476 42628701 49277214 56838268 85257402 98554428 99466969 127886103 170514804 198933938 255772206 298400907 383658309 397867876 511544412 596801814 767316618 895202721 1193603628 1534633236 1790405442 2685608163 3580810884 5371216326 10742432652