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46145321136 = 2433599178327
BaseRepresentation
bin101010111110011110…
…011011100010110000
311102002221120012022000
4222332132123202300
51224001200234021
633110542214000
73222344520645
oct527636334260
9142087505260
1046145321136
111862a915842
128b39b84300
13447529c665
14233a807dcc
151301277b26
hexabe79b8b0

46145321136 has 80 divisors (see below), whose sum is σ = 132676032000. Its totient is φ = 15356008512.

The previous prime is 46145321077. The next prime is 46145321137. The reversal of 46145321136 is 63112354164.

46145321136 is a `hidden beast` number, since 4 + 6 + 1 + 4 + 532 + 113 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 46145321136.

It is not an unprimeable number, because it can be changed into a prime (46145321137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169605 + ... + 347931.

It is an arithmetic number, because the mean of its divisors is an integer number (1658450400).

Almost surely, 246145321136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46145321136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66338016000).

46145321136 is an abundant number, since it is smaller than the sum of its proper divisors (86530710864).

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

46145321136 is a wasteful number, since it uses less digits than its factorization.

46145321136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178943 (or 178931 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The spelling of 46145321136 in words is "forty-six billion, one hundred forty-five million, three hundred twenty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 599 1198 1797 2396 3594 4792 5391 7188 9584 10782 14376 16173 21564 28752 32346 43128 64692 86256 129384 178327 258768 356654 534981 713308 1069962 1426616 1604943 2139924 2853232 3209886 4279848 4814829 6419772 8559696 9629658 12839544 19259316 25679088 38518632 77037264 106817873 213635746 320453619 427271492 640907238 854542984 961360857 1281814476 1709085968 1922721714 2563628952 2884082571 3845443428 5127257904 5768165142 7690886856 11536330284 15381773712 23072660568 46145321136