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10828252950 = 23521925115137
BaseRepresentation
bin10100001010110101…
…00000011100010110
31000221122021020120120
422011122200130112
5134134013043300
64550251012410
7532222426404
oct120532403426
930848236516
1010828252950
1146572a2789
12212243a106
131037483088
1474a164474
154359663a0
hex2856a0716

10828252950 has 96 divisors (see below), whose sum is σ = 28381933440. Its totient is φ = 2724480000.

The previous prime is 10828252943. The next prime is 10828252951. The reversal of 10828252950 is 5925282801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10828252951) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 707782 + ... + 722918.

It is an arithmetic number, because the mean of its divisors is an integer number (295645140).

Almost surely, 210828252950 is an apocalyptic number.

10828252950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10828252950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14190966720).

10828252950 is an abundant number, since it is smaller than the sum of its proper divisors (17553680490).

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

10828252950 is a wasteful number, since it uses less digits than its factorization.

10828252950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15422 (or 15417 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 42.

The spelling of 10828252950 in words is "ten billion, eight hundred twenty-eight million, two hundred fifty-two thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 57 75 95 114 150 190 251 285 475 502 570 753 950 1255 1425 1506 2510 2850 3765 4769 6275 7530 9538 12550 14307 15137 18825 23845 28614 30274 37650 45411 47690 71535 75685 90822 119225 143070 151370 227055 238450 287603 357675 378425 454110 575206 715350 756850 862809 1135275 1438015 1725618 2270550 2876030 3799387 4314045 7190075 7598774 8628090 11398161 14380150 18996935 21570225 22796322 37993870 43140450 56990805 72188353 94984675 113981610 144376706 189969350 216565059 284954025 360941765 433130118 569908050 721883530 1082825295 1804708825 2165650590 3609417650 5414126475 10828252950