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10293033852 = 22368234289
BaseRepresentation
bin10011001011000001…
…10011101101111100
3222120100011022000000
421211200303231330
5132040004040402
64421211234300
7513033226023
oct114540635574
928510138000
1010293033852
114402170752
121bb3148990
13c8061959a
146d90418ba
15403992c1c
hex265833b7c

10293033852 has 84 divisors (see below), whose sum is σ = 27045978960. Its totient is φ = 3426043392.

The previous prime is 10293033851. The next prime is 10293033901. The reversal of 10293033852 is 25833039201.

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 (10293033851) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2397724 + ... + 2402012.

It is an arithmetic number, because the mean of its divisors is an integer number (321975940).

Almost surely, 210293033852 is an apocalyptic number.

10293033852 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 10293033852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13522989480).

10293033852 is an abundant number, since it is smaller than the sum of its proper divisors (16752945108).

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

10293033852 is an equidigital number, since it uses as much as digits as its factorization.

10293033852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5134 (or 5117 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 10293033852 in words is "ten billion, two hundred ninety-three million, thirty-three thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 823 972 1458 1646 2469 2916 3292 4289 4938 7407 8578 9876 12867 14814 17156 22221 25734 29628 38601 44442 51468 66663 77202 88884 115803 133326 154404 199989 231606 266652 347409 399978 463212 599967 694818 799956 1042227 1199934 1389636 2084454 2399868 3126681 3529847 4168908 6253362 7059694 10589541 12506724 14119388 21179082 31768623 42358164 63537246 95305869 127074492 190611738 285917607 381223476 571835214 857752821 1143670428 1715505642 2573258463 3431011284 5146516926 10293033852