Search a number
-
+
10031774032 = 247617120681
BaseRepresentation
bin10010101011111000…
…01011100101010000
3221220010112220220101
421111330023211100
5131021113232112
64335235422144
7503411446420
oct112574134520
927803486811
1010031774032
114288747345
121b3b754954
13c3b463a87
146b2474480
153daa87757
hex255f0b950

10031774032 has 80 divisors (see below), whose sum is σ = 22896463104. Its totient is φ = 4169088000.

The previous prime is 10031774029. The next prime is 10031774041. The reversal of 10031774032 is 23047713001.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 474732 + ... + 495412.

Almost surely, 210031774032 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 10031774032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11448231552).

10031774032 is an abundant number, since it is smaller than the sum of its proper divisors (12864689072).

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

10031774032 is a wasteful number, since it uses less digits than its factorization.

10031774032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20828 (or 20822 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The spelling of 10031774032 in words is "ten billion, thirty-one million, seven hundred seventy-four thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 61 71 112 122 142 244 284 427 488 497 568 854 976 994 1136 1708 1988 3416 3976 4331 6832 7952 8662 17324 20681 30317 34648 41362 60634 69296 82724 121268 144767 165448 242536 289534 330896 485072 579068 1158136 1261541 1468351 2316272 2523082 2936702 5046164 5873404 8830787 10092328 10278457 11746808 17661574 20184656 20556914 23493616 35323148 41113828 70646296 82227656 89569411 141292592 164455312 179138822 358277644 626985877 716555288 1253971754 1433110576 2507943508 5015887016 10031774032