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10828493936 = 2413314735731
BaseRepresentation
bin10100001010110110…
…11011010001110000
31000221122201111010222
422011123123101300
5134134043301221
64550300112212
7532224452111
oct120533332160
930848644128
1010828493936
114657447847
122122535668
131037538980
1474a1c8208
154359b29ab
hex2856db470

10828493936 has 80 divisors (see below), whose sum is σ = 23819808768. Its totient is φ = 4733510400.

The previous prime is 10828493903. The next prime is 10828493939. The reversal of 10828493936 is 63939482801.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10828493939) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285191 + ... + 320921.

Almost surely, 210828493936 is an apocalyptic number.

10828493936 is a gapful number since it is divisible by the number (16) 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 10828493936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11909904384).

10828493936 is an abundant number, since it is smaller than the sum of its proper divisors (12991314832).

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

10828493936 is a wasteful number, since it uses less digits than its factorization.

10828493936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35830 (or 35824 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 53.

The spelling of 10828493936 in words is "ten billion, eight hundred twenty-eight million, four hundred ninety-three thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 31 47 52 62 94 104 124 188 208 248 376 403 496 611 752 806 1222 1457 1612 2444 2914 3224 4888 5828 6448 9776 11656 18941 23312 35731 37882 71462 75764 142924 151528 285848 303056 464503 571696 929006 1107661 1679357 1858012 2215322 3358714 3716024 4430644 6717428 7432048 8861288 13434856 14399593 17722576 21831641 26869712 28799186 43663282 52060067 57598372 87326564 104120134 115196744 174653128 208240268 230393488 349306256 416480536 676780871 832961072 1353561742 2707123484 5414246968 10828493936