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10300472416 = 251329853819
BaseRepresentation
bin10011001011111010…
…01011110001100000
3222120212011012210101
421211331023301200
5132043410104131
64422034512144
7513153366553
oct114575136140
928525135711
1010300472416
114406391423
121bb5735654
13c820222c0
146da01a69a
15404461c61
hex265f4bc60

10300472416 has 48 divisors (see below), whose sum is σ = 22592077200. Its totient is φ = 4590125568.

The previous prime is 10300472381. The next prime is 10300472437. The reversal of 10300472416 is 61427400301.

10300472416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 414846 + ... + 438973.

It is an arithmetic number, because the mean of its divisors is an integer number (470668275).

Almost surely, 210300472416 is an apocalyptic number.

10300472416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10300472416 is an abundant number, since it is smaller than the sum of its proper divisors (12291604784).

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

10300472416 is a wasteful number, since it uses less digits than its factorization.

10300472416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853871 (or 853863 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

Adding to 10300472416 its reverse (61427400301), we get a palindrome (71727872717).

The spelling of 10300472416 in words is "ten billion, three hundred million, four hundred seventy-two thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 104 116 208 232 377 416 464 754 928 1508 3016 6032 12064 853819 1707638 3415276 6830552 11099647 13661104 22199294 24760751 27322208 44398588 49521502 88797176 99043004 177594352 198086008 321889763 355188704 396172016 643779526 792344032 1287559052 2575118104 5150236208 10300472416