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10210793424 = 2431328914143
BaseRepresentation
bin10011000001001110…
…00101011111010000
3222100121102001100020
421200213011133100
5131402430342144
64405112423440
7511014212016
oct114047053720
928317361306
1010210793424
11436a7aa257
121b8b6a7b80
13c69583500
146cc1548b6
153eb64a419
hex2609c57d0

10210793424 has 120 divisors (see below), whose sum is σ = 28886008320. Its totient is φ = 3106262016.

The previous prime is 10210793407. The next prime is 10210793429. The reversal of 10210793424 is 42439701201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10210793429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 714897 + ... + 729039.

It is an arithmetic number, because the mean of its divisors is an integer number (240716736).

Almost surely, 210210793424 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 10210793424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14443004160).

10210793424 is an abundant number, since it is smaller than the sum of its proper divisors (18675214896).

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

10210793424 is a wasteful number, since it uses less digits than its factorization.

10210793424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14269 (or 14250 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 10210793424 in words is "ten billion, two hundred ten million, seven hundred ninety-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 89 104 156 169 178 208 267 312 338 356 507 534 624 676 712 1014 1068 1157 1352 1424 2028 2136 2314 2704 3471 4056 4272 4628 6942 8112 9256 13884 14143 15041 18512 27768 28286 30082 42429 45123 55536 56572 60164 84858 90246 113144 120328 169716 180492 183859 226288 240656 339432 360984 367718 551577 678864 721968 735436 1103154 1258727 1470872 2206308 2390167 2517454 2941744 3776181 4412616 4780334 5034908 7170501 7552362 8825232 9560668 10069816 14341002 15104724 16363451 19121336 20139632 28682004 30209448 32726902 38242672 49090353 57364008 60418896 65453804 98180706 114728016 130907608 196361412 212724863 261815216 392722824 425449726 638174589 785445648 850899452 1276349178 1701798904 2552698356 3403597808 5105396712 10210793424