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149546360448 = 27324315119993
BaseRepresentation
bin1000101101000110101…
…0000101111010000000
3112022000010212020101200
42023101222011322000
54422232332013243
6152411201301200
713542620042652
oct2132152057200
9468003766350
10149546360448
1158471027031
1224b96934800
13111435a9ca4
1473494266d2
153d53d72ad3
hex22d1a85e80

149546360448 has 192 divisors, whose sum is σ = 443281375680. Its totient is φ = 48364646400.

The previous prime is 149546360441. The next prime is 149546360449. The reversal of 149546360448 is 844063645941.

149546360448 is a `hidden beast` number, since 14 + 95 + 46 + 3 + 60 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1495463604482 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 149546360394 and 149546360403.

It is not an unprimeable number, because it can be changed into a prime (149546360441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7469940 + ... + 7489932.

It is an arithmetic number, because the mean of its divisors is an integer number (2308757165).

Almost surely, 2149546360448 is an apocalyptic number.

149546360448 is a gapful number since it is divisible by the number (18) 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 149546360448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221640687840).

149546360448 is an abundant number, since it is smaller than the sum of its proper divisors (293735015232).

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

149546360448 is a wasteful number, since it uses less digits than its factorization.

149546360448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20207 (or 20192 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 149546360448 in words is "one hundred forty-nine billion, five hundred forty-six million, three hundred sixty thousand, four hundred forty-eight".