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10490373990 = 2345127101977
BaseRepresentation
bin10011100010100011…
…00110011101100110
31000002002111012210000
421301101212131212
5132441013431430
64452541042130
7520650464505
oct116121463546
930062435700
1010490373990
1144a35a7278
122049256346
13cb2481cb5
1471733083c
15415e73e60
hex271466766

10490373990 has 80 divisors (see below), whose sum is σ = 28429834752. Its totient is φ = 2775378816.

The previous prime is 10490373947. The next prime is 10490374003. The reversal of 10490373990 is 9937309401.

10490373990 is a `hidden beast` number, since 1 + 0 + 490 + 3 + 73 + 9 + 90 = 666.

10490373990 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×104903739903 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 39 ways as a sum of consecutive naturals, for example, 51882 + ... + 153858.

Almost surely, 210490373990 is an apocalyptic number.

10490373990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10490373990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14214917376).

10490373990 is an abundant number, since it is smaller than the sum of its proper divisors (17939460762).

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

10490373990 is a wasteful number, since it uses less digits than its factorization.

10490373990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102123 (or 102114 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The spelling of 10490373990 in words is "ten billion, four hundred ninety million, three hundred seventy-three thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 127 135 162 254 270 381 405 635 762 810 1143 1270 1905 2286 3429 3810 5715 6858 10287 11430 17145 20574 34290 51435 101977 102870 203954 305931 509885 611862 917793 1019770 1529655 1835586 2753379 3059310 4588965 5506758 8260137 9177930 12951079 13766895 16520274 25902158 27533790 38853237 41300685 64755395 77706474 82601370 116559711 129510790 194266185 233119422 349679133 388532370 582798555 699358266 1049037399 1165597110 1748395665 2098074798 3496791330 5245186995 10490373990