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46538585940 = 2235721119233789
BaseRepresentation
bin101011010101111010…
…100111011101010100
311110010100120010012010
4223111322213131110
51230302334222230
633213551224220
73235161311400
oct532572473524
9143110503163
1046538585940
1118811900480
129029818070
1345088c3422
142376b38100
151325a5a9b0
hexad5ea7754

46538585940 has 1152 divisors, whose sum is σ = 188639539200. Its totient is φ = 8430428160.

The previous prime is 46538585939. The next prime is 46538585981. The reversal of 46538585940 is 4958583564.

It is a super-3 number, since 3×465385859403 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 522905416 + ... + 522905504.

It is an arithmetic number, because the mean of its divisors is an integer number (163749600).

Almost surely, 246538585940 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 46538585940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94319769600).

46538585940 is an abundant number, since it is smaller than the sum of its proper divisors (142100953260).

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

46538585940 is a wasteful number, since it uses less digits than its factorization.

46538585940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 57.

The spelling of 46538585940 in words is "forty-six billion, five hundred thirty-eight million, five hundred eighty-five thousand, nine hundred forty".