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10820996040 = 2335422921323
BaseRepresentation
bin10100001001111101…
…10100101111001000
31000221010121112222010
422010332310233020
5134130133333130
64545431255520
7532103643261
oct120476645710
930833545863
1010820996040
114653196538
12211bb1a5a0
131035b11c4a
147491d5968
15434ed10b0
hex284fb4bc8

10820996040 has 64 divisors (see below), whose sum is σ = 32472187200. Its totient is φ = 2884781312.

The previous prime is 10820996003. The next prime is 10820996057. The reversal of 10820996040 is 4069902801.

10820996040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10820996040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 496819 + ... + 518141.

It is an arithmetic number, because the mean of its divisors is an integer number (507377925).

Almost surely, 210820996040 is an apocalyptic number.

10820996040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10820996040 is an abundant number, since it is smaller than the sum of its proper divisors (21651191160).

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

10820996040 is a wasteful number, since it uses less digits than its factorization.

10820996040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25566 (or 25562 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The spelling of 10820996040 in words is "ten billion, eight hundred twenty million, nine hundred ninety-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 4229 8458 12687 16916 21145 21323 25374 33832 42290 42646 50748 63435 63969 84580 85292 101496 106615 126870 127938 169160 170584 213230 253740 255876 319845 426460 507480 511752 639690 852920 1279380 2558760 90174967 180349934 270524901 360699868 450874835 541049802 721399736 901749670 1082099604 1352624505 1803499340 2164199208 2705249010 3606998680 5410498020 10820996040