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10133774424 = 23322318133809
BaseRepresentation
bin10010111000000010…
…10010000001011000
3222011020111002010200
421130001102001120
5131223221240144
64353321542200
7506060442564
oct113401220130
928136432120
1010133774424
114330284794
121b69944960
13c56627c37
146c1c266a4
153e49d4c69
hex25c052058

10133774424 has 96 divisors (see below), whose sum is σ = 28798005600. Its totient is φ = 3213112320.

The previous prime is 10133774369. The next prime is 10133774429. The reversal of 10133774424 is 42447733101.

10133774424 is a `hidden beast` number, since 10 + 133 + 77 + 442 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10133774429) 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 23 ways as a sum of consecutive naturals, for example, 282832 + ... + 316640.

It is an arithmetic number, because the mean of its divisors is an integer number (299979225).

Almost surely, 210133774424 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 10133774424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14399002800).

10133774424 is an abundant number, since it is smaller than the sum of its proper divisors (18664231176).

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

10133774424 is a wasteful number, since it uses less digits than its factorization.

10133774424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34025 (or 34018 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 10133774424 in words is "ten billion, one hundred thirty-three million, seven hundred seventy-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 181 184 207 276 362 414 543 552 724 828 1086 1448 1629 1656 2172 3258 4163 4344 6516 8326 12489 13032 16652 24978 33304 33809 37467 49956 67618 74934 99912 101427 135236 149868 202854 270472 299736 304281 405708 608562 777607 811416 1217124 1555214 2332821 2434248 3110428 4665642 6119429 6220856 6998463 9331284 12238858 13996926 18358287 18662568 24477716 27993852 36716574 48955432 55074861 55987704 73433148 110149722 140746867 146866296 220299444 281493734 422240601 440598888 562987468 844481202 1125974936 1266721803 1688962404 2533443606 3377924808 5066887212 10133774424