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46204701139168 = 251121337191193673
BaseRepresentation
bin10101000000101110111101…
…10011000110000011100000
320001121010102001202212021121
422200113132303012003200
522024004211442423133
6242134051403102024
712506115365403055
oct1240273663060340
9201533361685247
1046204701139168
11137a433826a100
125222944b11914
131ca2113bb5b80
14b5a46889302c
15551d54be902d
hex2a05decc60e0

46204701139168 has 576 divisors, whose sum is σ = 111909428499456. Its totient is φ = 18638910259200.

The previous prime is 46204701139151. The next prime is 46204701139169. The reversal of 46204701139168 is 86193110740264.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46204701139169) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68654830480 + ... + 68654831152.

It is an arithmetic number, because the mean of its divisors is an integer number (194287202256).

Almost surely, 246204701139168 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 46204701139168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55954714249728).

46204701139168 is an abundant number, since it is smaller than the sum of its proper divisors (65704727360288).

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

46204701139168 is a wasteful number, since it uses less digits than its factorization.

46204701139168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 52.

The spelling of 46204701139168 in words is "forty-six trillion, two hundred four billion, seven hundred one million, one hundred thirty-nine thousand, one hundred sixty-eight".