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1075026028146 = 237211347349589
BaseRepresentation
bin11111010010011001000…
…10110110011001110010
310210202211102010112211020
433221030202312121302
5120103123130400041
62141505442400310
7140445101316660
oct17511442663162
93722742115736
101075026028146
11384a09192334
12154420060096
137a4b3a85c35
143a062777c30
151ce6d220866
hexfa4c8b6672

1075026028146 has 64 divisors (see below), whose sum is σ = 2475969776640. Its totient is φ = 304812768960.

The previous prime is 1075026028127. The next prime is 1075026028147. The reversal of 1075026028146 is 6418206205701.

It is a happy number.

It is a super-2 number, since 2×10750260281462 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1075026028098 and 1075026028107.

It is not an unprimeable number, because it can be changed into a prime (1075026028147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2900320 + ... + 3249908.

It is an arithmetic number, because the mean of its divisors is an integer number (38687027760).

Almost surely, 21075026028146 is an apocalyptic number.

1075026028146 is an abundant number, since it is smaller than the sum of its proper divisors (1400943748494).

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

1075026028146 is a wasteful number, since it uses less digits than its factorization.

1075026028146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350159.

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 1075026028146 in words is "one trillion, seventy-five billion, twenty-six million, twenty-eight thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 14 21 42 211 347 422 633 694 1041 1266 1477 2082 2429 2954 4431 4858 7287 8862 14574 73217 146434 219651 349589 439302 512519 699178 1025038 1048767 1537557 2097534 2447123 3075114 4894246 7341369 14682738 73763279 121307383 147526558 221289837 242614766 363922149 442579674 516342953 727844298 849151681 1032685906 1549028859 1698303362 2547455043 3098057718 5094910086 25595857813 51191715626 76787573439 153575146878 179171004691 358342009382 537513014073 1075026028146