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10742324500 = 2253194326297
BaseRepresentation
bin10100000000100101…
…01101110100010100
31000201122120121220101
422000102231310110
5134000013341000
64533541143444
7530130152215
oct120022556424
930648517811
1010742324500
114612842436
1220b96bab84
13102272843b
1473c99740c
1542d140e6a
hex2804add14

10742324500 has 96 divisors (see below), whose sum is σ = 25271326080. Its totient is φ = 3975955200.

The previous prime is 10742324491. The next prime is 10742324581. The reversal of 10742324500 is 542324701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 395352 + ... + 421648.

It is an arithmetic number, because the mean of its divisors is an integer number (263242980).

Almost surely, 210742324500 is an apocalyptic number.

10742324500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10742324500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12635663040).

10742324500 is an abundant number, since it is smaller than the sum of its proper divisors (14529001580).

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

10742324500 is a wasteful number, since it uses less digits than its factorization.

10742324500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26378 (or 26366 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The spelling of 10742324500 in words is "ten billion, seven hundred forty-two million, three hundred twenty-four thousand, five hundred".

Divisors: 1 2 4 5 10 19 20 25 38 43 50 76 86 95 100 125 172 190 215 250 380 430 475 500 817 860 950 1075 1634 1900 2150 2375 3268 4085 4300 4750 5375 8170 9500 10750 16340 20425 21500 26297 40850 52594 81700 102125 105188 131485 204250 262970 408500 499643 525940 657425 999286 1130771 1314850 1998572 2261542 2498215 2629700 3287125 4523084 4996430 5653855 6574250 9992860 11307710 12491075 13148500 21484649 22615420 24982150 28269275 42969298 49964300 56538550 62455375 85938596 107423245 113077100 124910750 141346375 214846490 249821500 282692750 429692980 537116225 565385500 1074232450 2148464900 2685581125 5371162250 10742324500