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46909191420 = 22355713241199
BaseRepresentation
bin101011101100000000…
…010111010011111100
311111002011220211100000
4223230000113103330
51232032223111140
633314430434300
73250311356010
oct535400272374
9144064824300
1046909191420
11189920198a3
129111962990
134567612500
1423b004a540
151348364a30
hexaec0174fc

46909191420 has 864 divisors, whose sum is σ = 188005708800. Its totient is φ = 9607403520.

The previous prime is 46909191391. The next prime is 46909191421. The reversal of 46909191420 is 2419190964.

46909191420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46909191421) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 235724481 + ... + 235724679.

It is an arithmetic number, because the mean of its divisors is an integer number (217599200).

Almost surely, 246909191420 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 46909191420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94002854400).

46909191420 is an abundant number, since it is smaller than the sum of its proper divisors (141096517380).

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

46909191420 is a wasteful number, since it uses less digits than its factorization.

46909191420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 46909191420 in words is "forty-six billion, nine hundred nine million, one hundred ninety-one thousand, four hundred twenty".