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46935383040 = 2103357213241
BaseRepresentation
bin101011101101100100…
…010001110000000000
311111011000012111111000
4223231210101300000
51232110424224130
633321204052000
73251050113300
oct535544216000
9144130174430
1046935383040
11189a5888a67
12911a694000
13456cb82c00
1423b3707600
15134a7da260
hexaed911c00

46935383040 has 1584 divisors, whose sum is σ = 215230750560. Its totient is φ = 9661317120.

The previous prime is 46935383017. The next prime is 46935383059. The reversal of 46935383040 is 4038353964.

46935383040 is a `hidden beast` number, since 46 + 9 + 3 + 538 + 30 + 40 = 666.

It is a super-2 number, since 2×469353830402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1144765420 + ... + 1144765460.

Almost surely, 246935383040 is an apocalyptic number.

46935383040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46935383040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107615375280).

46935383040 is an abundant number, since it is smaller than the sum of its proper divisors (168295367520).

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

46935383040 is a wasteful number, since it uses less digits than its factorization.

46935383040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 46935383040 in words is "forty-six billion, nine hundred thirty-five million, three hundred eighty-three thousand, forty".