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46161459846 = 234438118171
BaseRepresentation
bin101010111111011011…
…111111101010000110
311102011001221010110000
4222333123333222012
51224014313203341
633112320142130
73222631635405
oct527733775206
9142131833400
1046161459846
1118638a39017
128b43467946
1344787303a8
14233ca0963c
1513028b48b6
hexabf6ffa86

46161459846 has 80 divisors (see below), whose sum is σ = 105984825408. Its totient is φ = 15008943600.

The previous prime is 46161459829. The next prime is 46161459853. The reversal of 46161459846 is 64895416164.

46161459846 is a `hidden beast` number, since 4 + 6 + 1 + 6 + 1 + 4 + 598 + 46 = 666.

It is a super-2 number, since 2×461614598462 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 46161459792 and 46161459801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5645341 + ... + 5653511.

Almost surely, 246161459846 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46161459846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52992412704).

46161459846 is an abundant number, since it is smaller than the sum of its proper divisors (59823365562).

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

46161459846 is a wasteful number, since it uses less digits than its factorization.

46161459846 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9039 (or 9030 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 46161459846 in words is "forty-six billion, one hundred sixty-one million, four hundred fifty-nine thousand, eight hundred forty-six".

Divisors: 1 2 3 6 9 18 27 43 54 81 86 129 162 258 387 774 811 1161 1622 2322 2433 3483 4866 6966 7299 8171 14598 16342 21897 24513 34873 43794 49026 65691 69746 73539 104619 131382 147078 209238 220617 313857 351353 441234 627714 661851 702706 941571 1054059 1323702 1883142 2108118 2824713 3162177 5649426 6324354 6626681 9486531 13253362 18973062 19880043 28459593 39760086 56919186 59640129 119280258 178920387 284947283 357840774 536761161 569894566 854841849 1073522322 1709683698 2564525547 5129051094 7693576641 15387153282 23080729923 46161459846