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1036435149168 = 24343949185419
BaseRepresentation
bin11110001010100000101…
…10010101000101110000
310200002012221120202222020
433011100112111011300
5113440104344233133
62112044242111440
7134610554260506
oct17052026250560
93602187522866
101036435149168
1136a605692821
12148a5004b580
13769739268c3
14382413b4676
151be602d10b3
hexf150595170

1036435149168 has 40 divisors (see below), whose sum is σ = 2683556515200. Its totient is φ = 344691409344.

The previous prime is 1036435149161. The next prime is 1036435149173. The reversal of 1036435149168 is 8619415346301.

It is a super-2 number, since 2×10364351491682 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1036435149168.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1036435149161) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 24571638 + ... + 24613781.

It is an arithmetic number, because the mean of its divisors is an integer number (67088912880).

Almost surely, 21036435149168 is an apocalyptic number.

It is an amenable number.

1036435149168 is an abundant number, since it is smaller than the sum of its proper divisors (1647121366032).

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

1036435149168 is a wasteful number, since it uses less digits than its factorization.

1036435149168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49185869 (or 49185863 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 1036435149168 in words is "one trillion, thirty-six billion, four hundred thirty-five million, one hundred forty-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 439 878 1317 1756 2634 3512 5268 7024 10536 21072 49185419 98370838 147556257 196741676 295112514 393483352 590225028 786966704 1180450056 2360900112 21592398941 43184797882 64777196823 86369595764 129554393646 172739191528 259108787292 345478383056 518217574584 1036435149168