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1054864336900 = 225211958967579
BaseRepresentation
bin11110101100110101101…
…00000110100000000100
310201211210022100111212211
433112122310012200010
5114240330232240100
62124333055353204
7136132343631013
oct17263264064004
93654708314784
101054864336900
11377402466290
12150533b22804
137861ca47b0a
14390acc02a7a
151c68d1b61ba
hexf59ad06804

1054864336900 has 36 divisors (see below), whose sum is σ = 2497151578320. Its totient is φ = 383587031200.

The previous prime is 1054864336861. The next prime is 1054864336907. The reversal of 1054864336900 is 96334684501.

It is a happy number.

It is a super-2 number, since 2×10548643369002 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1054864336907) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 479482690 + ... + 479484889.

It is an arithmetic number, because the mean of its divisors is an integer number (69365321620).

Almost surely, 21054864336900 is an apocalyptic number.

1054864336900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1054864336900 is an abundant number, since it is smaller than the sum of its proper divisors (1442287241420).

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

1054864336900 is a wasteful number, since it uses less digits than its factorization.

1054864336900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958967604 (or 958967597 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 49.

The spelling of 1054864336900 in words is "one trillion, fifty-four billion, eight hundred sixty-four million, three hundred thirty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 958967579 1917935158 3835870316 4794837895 9589675790 10548643369 19179351580 21097286738 23974189475 42194573476 47948378950 52743216845 95896757900 105486433690 210972867380 263716084225 527432168450 1054864336900