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10742594058 = 235717772
BaseRepresentation
bin10100000000100111…
…01111101000001010
31000201200002022200000
422000103233220022
5134000101002213
64533551023430
7530132354130
oct120023575012
930650068600
1010742594058
114612a06a09
1220b980ab76
1310227c1041
1473ca27750
1542d195c73
hex2804efa0a

10742594058 has 72 divisors (see below), whose sum is σ = 27601453152. Its totient is φ = 3067585344.

The previous prime is 10742594029. The next prime is 10742594059. The reversal of 10742594058 is 85049524701.

10742594058 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 2 + 594 + 0 + 58 = 666.

It is not an unprimeable number, because it can be changed into a prime (10742594059) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6044466 + ... + 6046242.

It is an arithmetic number, because the mean of its divisors is an integer number (383353516).

Almost surely, 210742594058 is an apocalyptic number.

10742594058 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10742594058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13800726576).

10742594058 is an abundant number, since it is smaller than the sum of its proper divisors (16858859094).

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

10742594058 is an frugal number, since it uses more digits than its factorization.

10742594058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3578 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 10742594058 in words is "ten billion, seven hundred forty-two million, five hundred ninety-four thousand, fifty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 486 567 1134 1701 1777 3402 3554 5331 10662 12439 15993 24878 31986 37317 47979 74634 95958 111951 143937 223902 287874 335853 431811 671706 863622 1007559 2015118 3022677 3157729 6045354 6315458 9473187 18946374 22104103 28419561 44208206 56839122 66312309 85258683 132624618 170517366 198936927 255776049 397873854 511552098 596810781 767328147 1193621562 1534656294 1790432343 3580864686 5371297029 10742594058