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9978028431 = 37891272331
BaseRepresentation
bin10010100101011110…
…01010000110001111
3221202101102100210120
421102233022012033
5130413333402211
64330035440023
7502156561620
oct112257120617
927671370716
109978028431
114260378498
121b25756013
13c30296847
146a9283a47
153d5ebcd06
hex252bca18f

9978028431 has 48 divisors (see below), whose sum is σ = 15544293120. Its totient is φ = 5576376960.

The previous prime is 9978028387. The next prime is 9978028471. The reversal of 9978028431 is 1348208799.

9978028431 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9978028431 - 26 = 9978028367 is a prime.

It is a super-2 number, since 2×99780284312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9978028471) 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 47 ways as a sum of consecutive naturals, for example, 30144936 + ... + 30145266.

It is an arithmetic number, because the mean of its divisors is an integer number (323839440).

Almost surely, 29978028431 is an apocalyptic number.

9978028431 is a deficient number, since it is larger than the sum of its proper divisors (5566264689).

9978028431 is a wasteful number, since it uses less digits than its factorization.

9978028431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The square root of 9978028431 is about 99890.0817448860. The cubic root of 9978028431 is about 2152.8556559898.

The spelling of 9978028431 in words is "nine billion, nine hundred seventy-eight million, twenty-eight thousand, four hundred thirty-one".

Divisors: 1 3 7 21 89 127 267 331 381 623 889 993 1869 2317 2667 6951 11303 16129 29459 33909 42037 48387 79121 88377 112903 126111 206213 237363 294259 338709 618639 882777 1435481 3741293 4306443 5338699 10048367 11223879 16016097 26189051 30145101 37370893 78567153 112112679 475144211 1425432633 3326009477 9978028431