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46850334720 = 213357231251
BaseRepresentation
bin101011101000011111…
…110110000000000000
311110221002011121010020
4223220133312000000
51231422141202340
633304525133440
73245665163100
oct535037660000
9143832147106
1046850334720
11189618799a2
1290b60ba280
134558375a67
1423a62c9200
1513430da9d0
hexae87f6000

46850334720 has 672 divisors, whose sum is σ = 180729916416. Its totient is φ = 10321920000.

The previous prime is 46850334719. The next prime is 46850334721. The reversal of 46850334720 is 2743305864.

It is an interprime number because it is at equal distance from previous prime (46850334719) and next prime (46850334721).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46850334721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186654595 + ... + 186654845.

It is an arithmetic number, because the mean of its divisors is an integer number (268943328).

Almost surely, 246850334720 is an apocalyptic number.

46850334720 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 46850334720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90364958208).

46850334720 is an abundant number, since it is smaller than the sum of its proper divisors (133879581696).

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

46850334720 is a wasteful number, since it uses less digits than its factorization.

46850334720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 46850334720 in words is "forty-six billion, eight hundred fifty million, three hundred thirty-four thousand, seven hundred twenty".