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46740000162240 = 263657116771547
BaseRepresentation
bin10101010000010100000010…
…00110110100000111000000
320010111022002222022202000000
422220022001012310013000
522111242010020142430
6243224020515000000
712562565530126230
oct1250120106640700
9203438088282000
1046740000162240
1113990360645040
1252aa637599000
1320107421a2838
14b78329bbdcc0
15560c34776e60
hex2a82811b41c0

46740000162240 has 3136 divisors, whose sum is σ = 214520269529088. Its totient is φ = 9415255449600.

The previous prime is 46740000162221. The next prime is 46740000162253. The reversal of 46740000162240 is 4226100004764.

46740000162240 is a `hidden beast` number, since 4 + 6 + 7 + 400 + 0 + 0 + 1 + 6 + 2 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 46740000162195 and 46740000162204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 85447897647 + ... + 85447898193.

Almost surely, 246740000162240 is an apocalyptic number.

46740000162240 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 46740000162240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107260134764544).

46740000162240 is an abundant number, since it is smaller than the sum of its proper divisors (167780269366848).

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

46740000162240 is a wasteful number, since it uses less digits than its factorization.

46740000162240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 46740000162240 in words is "forty-six trillion, seven hundred forty billion, one hundred sixty-two thousand, two hundred forty".