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149469788160 = 21133572111759
BaseRepresentation
bin1000101100110100010…
…1111111100000000000
3112021210210202221222000
42023031011333200000
54422103231210120
6152355424144000
713541000144100
oct2131505774000
9467723687860
10149469788160
1158431887150
1224b75168000
1311130779b44
14733d1b3200
153d4c299990
hex22cd17f800

149469788160 has 2304 divisors, whose sum is σ = 726014016000. Its totient is φ = 28736225280.

The previous prime is 149469788159. The next prime is 149469788203. The reversal of 149469788160 is 61887964941.

149469788160 is a `hidden beast` number, since 1 + 4 + 9 + 469 + 7 + 8 + 8 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2533386211 + ... + 2533386269.

It is an arithmetic number, because the mean of its divisors is an integer number (315110250).

Almost surely, 2149469788160 is an apocalyptic number.

149469788160 is a gapful number since it is divisible by the number (10) 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 149469788160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363007008000).

149469788160 is an abundant number, since it is smaller than the sum of its proper divisors (576544227840).

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

149469788160 is a wasteful number, since it uses less digits than its factorization.

149469788160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 149469788160 in words is "one hundred forty-nine billion, four hundred sixty-nine million, seven hundred eighty-eight thousand, one hundred sixty".