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9938828508 = 2237674993539
BaseRepresentation
bin10010100000110011…
…00111110011011100
3221122122122210121120
421100121213303130
5130323320003013
64322115330540
7501202435260
oct112031476334
927578583546
109938828508
114240233a64
121b145b0a50
13c2512021b
146a3d9c0a0
153d2828123
hex250667cdc

9938828508 has 96 divisors (see below), whose sum is σ = 26960640000. Its totient is φ = 2790887616.

The previous prime is 9938828489. The next prime is 9938828509. The reversal of 9938828508 is 8058288399.

9938828508 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×99388285082 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9938828509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2806603 + ... + 2810141.

It is an arithmetic number, because the mean of its divisors is an integer number (280840000).

Almost surely, 29938828508 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 9938828508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13480320000).

9938828508 is an abundant number, since it is smaller than the sum of its proper divisors (17021811492).

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

9938828508 is a wasteful number, since it uses less digits than its factorization.

9938828508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4119 (or 4117 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 60.

The square root of 9938828508 is about 99693.6733599480. The cubic root of 9938828508 is about 2150.0327024411.

The spelling of 9938828508 in words is "nine billion, nine hundred thirty-eight million, eight hundred twenty-eight thousand, five hundred eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 67 84 134 201 268 402 469 499 804 938 998 1407 1497 1876 1996 2814 2994 3493 3539 5628 5988 6986 7078 10479 10617 13972 14156 20958 21234 24773 33433 41916 42468 49546 66866 74319 99092 100299 133732 148638 200598 234031 237113 297276 401196 468062 474226 702093 711339 936124 948452 1404186 1422678 1659791 1765961 2808372 2845356 3319582 3531922 4979373 5297883 6639164 7063844 9958746 10595766 12361727 19917492 21191532 24723454 37085181 49446908 74170362 118319387 148340724 236638774 354958161 473277548 709916322 828235709 1419832644 1656471418 2484707127 3312942836 4969414254 9938828508