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1025135864136 = 233318126220991
BaseRepresentation
bin11101110101011101101…
…10111110100101001000
310122000001110222121212000
432322232312332211020
5113243434240123021
62102535123151000
7134030552033526
oct16725666764510
93560043877760
101025135864136
1136583751972a
12146817b15460
13758929c1a27
143788c879316
151b9ed324b26
hexeeaedbe948

1025135864136 has 64 divisors (see below), whose sum is σ = 2863332326400. Its totient is φ = 339824030400.

The previous prime is 1025135864099. The next prime is 1025135864149. The reversal of 1025135864136 is 6314685315201.

1025135864136 is a `hidden beast` number, since 1 + 0 + 2 + 51 + 3 + 586 + 4 + 13 + 6 = 666.

It is a super-4 number, since 4×10251358641364 (a number of 49 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1025135864091 and 1025135864100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13071400 + ... + 13149591.

It is an arithmetic number, because the mean of its divisors is an integer number (44739567600).

Almost surely, 21025135864136 is an apocalyptic number.

It is an amenable number.

1025135864136 is an abundant number, since it is smaller than the sum of its proper divisors (1838196462264).

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

1025135864136 is a wasteful number, since it uses less digits than its factorization.

1025135864136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26221187 (or 26221177 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 1025135864136 in words is "one trillion, twenty-five billion, one hundred thirty-five million, eight hundred sixty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 181 216 362 543 724 1086 1448 1629 2172 3258 4344 4887 6516 9774 13032 19548 39096 26220991 52441982 78662973 104883964 157325946 209767928 235988919 314651892 471977838 629303784 707966757 943955676 1415933514 1887911352 2831867028 4745999371 5663734056 9491998742 14237998113 18983997484 28475996226 37967994968 42713994339 56951992452 85427988678 113903984904 128141983017 170855977356 256283966034 341711954712 512567932068 1025135864136