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10295384980 = 22518110192791
BaseRepresentation
bin10011001011010011…
…10001101110010100
3222120111120202010211
421211221301232110
5132041104304410
64421333455204
7513062220436
oct114551615624
928514522124
1010295384980
114403527131
121bb3aa1504
13c80c6079a
146d9494656
15403ca968a
hex265a71b94

10295384980 has 48 divisors (see below), whose sum is σ = 21768888960. Its totient is φ = 4089916800.

The previous prime is 10295384947. The next prime is 10295384993. The reversal of 10295384980 is 8948359201.

10295384980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 3687385 + ... + 3690175.

It is an arithmetic number, because the mean of its divisors is an integer number (453518520).

Almost surely, 210295384980 is an apocalyptic number.

10295384980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10295384980 is an abundant number, since it is smaller than the sum of its proper divisors (11473503980).

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

10295384980 is a wasteful number, since it uses less digits than its factorization.

10295384980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4000 (or 3998 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 49.

The spelling of 10295384980 in words is "ten billion, two hundred ninety-five million, three hundred eighty-four thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 181 362 724 905 1019 1810 2038 2791 3620 4076 5095 5582 10190 11164 13955 20380 27910 55820 184439 368878 505171 737756 922195 1010342 1844390 2020684 2525855 2844029 3688780 5051710 5688058 10103420 11376116 14220145 28440290 56880580 514769249 1029538498 2059076996 2573846245 5147692490 10295384980