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9825628340 = 2251131572351
BaseRepresentation
bin10010010011010011…
…10011000010110100
3221100202122122011202
421021221303002310
5130110330101330
64302553152032
7465326314523
oct111151630264
927322578152
109825628340
114192347000
121aa26bb618
13c07837388
14692d324ba
153c7917445
hex249a730b4

9825628340 has 96 divisors (see below), whose sum is σ = 22849924608. Its totient is φ = 3548688000.

The previous prime is 9825628339. The next prime is 9825628357. The reversal of 9825628340 is 438265289.

It is a super-2 number, since 2×98256283402 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4178165 + ... + 4180515.

It is an arithmetic number, because the mean of its divisors is an integer number (238020048).

Almost surely, 29825628340 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 9825628340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11424962304).

9825628340 is an abundant number, since it is smaller than the sum of its proper divisors (13024296268).

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

9825628340 is a wasteful number, since it uses less digits than its factorization.

9825628340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2550 (or 2526 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 47.

The square root of 9825628340 is about 99124.3075133441. The cubic root of 9825628340 is about 2141.8387797370.

The spelling of 9825628340 in words is "nine billion, eight hundred twenty-five million, six hundred twenty-eight thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 157 220 242 314 484 605 628 785 1210 1331 1570 1727 2351 2420 2662 3140 3454 4702 5324 6655 6908 8635 9404 11755 13310 17270 18997 23510 25861 26620 34540 37994 47020 51722 75988 94985 103444 129305 189970 208967 258610 284471 369107 379940 417934 517220 568942 738214 835868 1044835 1137884 1422355 1476428 1845535 2089670 2844710 3129181 3691070 4060177 4179340 5689420 6258362 7382140 8120354 12516724 15645905 16240708 20300885 31291810 40601770 44661947 62583620 81203540 89323894 178647788 223309735 446619470 491281417 893238940 982562834 1965125668 2456407085 4912814170 9825628340