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10247466320 = 2457131407619
BaseRepresentation
bin10011000101100101…
…11110110101010000
3222110011102020002122
421202302332311100
5131441322410240
64412502433412
7511641012050
oct114262766520
928404366078
1010247466320
114389478133
121b9ba32868
13c74053850
146d2d7d560
153ee9914b5
hex262cbed50

10247466320 has 80 divisors (see below), whose sum is σ = 29323539840. Its totient is φ = 3243151872.

The previous prime is 10247466263. The next prime is 10247466343. The reversal of 10247466320 is 2366474201.

10247466320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (35).

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, 696530 + ... + 711089.

It is an arithmetic number, because the mean of its divisors is an integer number (366544248).

Almost surely, 210247466320 is an apocalyptic number.

10247466320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10247466320 is an abundant number, since it is smaller than the sum of its proper divisors (19076073520).

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

10247466320 is a wasteful number, since it uses less digits than its factorization.

10247466320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407652 (or 1407646 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The spelling of 10247466320 in words is "ten billion, two hundred forty-seven million, four hundred sixty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 3640 7280 1407619 2815238 5630476 7038095 9853333 11260952 14076190 18299047 19706666 22521904 28152380 36598094 39413332 49266665 56304760 73196188 78826664 91495235 98533330 112609520 128093329 146392376 157653328 182990470 197066660 256186658 292784752 365980940 394133320 512373316 640466645 731961880 788266640 1024746632 1280933290 1463923760 2049493264 2561866580 5123733160 10247466320