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46225887447096 = 23337219239994337
BaseRepresentation
bin10101000001010110011011…
…00110011100100000111000
320001200011002120112211002000
422200223031212130200320
522024331104141301341
6242151513551141000
712510465404140500
oct1240531546344070
9201604076484060
1046225887447096
111380231a3a28a5
125226a78214760
131ca410c29ca56
14b5b4b8542a00
15552694b988b6
hex2a0acd99c838

46225887447096 has 384 divisors, whose sum is σ = 164067052608000. Its totient is φ = 11968257337344.

The previous prime is 46225887447083. The next prime is 46225887447107. The reversal of 46225887447096 is 69074478852264.

46225887447096 is a `hidden beast` number, since 4 + 6 + 2 + 2 + 5 + 88 + 74 + 470 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 371961 + ... + 9622376.

It is an arithmetic number, because the mean of its divisors is an integer number (427257949500).

Almost surely, 246225887447096 is an apocalyptic number.

46225887447096 is a gapful number since it is divisible by the number (46) 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 46225887447096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82033526304000).

46225887447096 is an abundant number, since it is smaller than the sum of its proper divisors (117841165160904).

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

46225887447096 is a wasteful number, since it uses less digits than its factorization.

46225887447096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9994408 (or 9994391 counting only the distinct ones).

The product of its (nonzero) digits is 1300561920, while the sum is 72.

The spelling of 46225887447096 in words is "forty-six trillion, two hundred twenty-five billion, eight hundred eighty-seven million, four hundred forty-seven thousand, ninety-six".