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10092024852 = 22371323513931
BaseRepresentation
bin10010110011000100…
…00001010000010100
3222001022220222111020
421121202001100110
5131132024243402
64345231041140
7505042536660
oct113142012024
928038828436
1010092024852
114309759708
121b579701b0
13c4aa9ac50
146ba4798a0
153e0ed98bc
hex259881414

10092024852 has 96 divisors (see below), whose sum is σ = 29001928704. Its totient is φ = 2659824000.

The previous prime is 10092024791. The next prime is 10092024889. The reversal of 10092024852 is 25842029001.

It is a super-2 number, since 2×100920248522 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 2565327 + ... + 2569257.

It is an arithmetic number, because the mean of its divisors is an integer number (302103424).

Almost surely, 210092024852 is an apocalyptic number.

10092024852 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 10092024852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14500964352).

10092024852 is an abundant number, since it is smaller than the sum of its proper divisors (18909903852).

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

10092024852 is a wasteful number, since it uses less digits than its factorization.

10092024852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6309 (or 6307 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 10092024852 in words is "ten billion, ninety-two million, twenty-four thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1092 2351 3931 4702 7053 7862 9404 11793 14106 15724 16457 23586 27517 28212 30563 32914 47172 49371 51103 55034 61126 65828 82551 91689 98742 102206 110068 122252 153309 165102 183378 197484 204412 213941 306618 330204 357721 366756 427882 613236 641823 715442 855764 1073163 1283646 1430884 2146326 2567292 4292652 9241781 18483562 27725343 36967124 55450686 64692467 110901372 120143153 129384934 194077401 240286306 258769868 360429459 388154802 480572612 720858918 776309604 841002071 1441717836 1682004142 2523006213 3364008284 5046012426 10092024852