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149471628900 = 2235211292835519
BaseRepresentation
bin1000101100110100110…
…1000000111001100100
3112021210221020110222120
42023031031000321210
54422104214111100
6152355531425540
713541021611506
oct2131515007144
9467727213876
10149471628900
1158432924120
1224b758b52b0
1311130c72939
14733d531d76
153d4c5100a0
hex22cd340e64

149471628900 has 288 divisors, whose sum is σ = 489868646400. Its totient is φ = 34856102400.

The previous prime is 149471628863. The next prime is 149471628923. The reversal of 149471628900 is 9826174941.

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, 27080341 + ... + 27085859.

It is an arithmetic number, because the mean of its divisors is an integer number (1700932800).

Almost surely, 2149471628900 is an apocalyptic number.

149471628900 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 149471628900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244934323200).

149471628900 is an abundant number, since it is smaller than the sum of its proper divisors (340397017500).

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

149471628900 is a wasteful number, since it uses less digits than its factorization.

149471628900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5859 (or 5852 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 149471628900 in words is "one hundred forty-nine billion, four hundred seventy-one million, six hundred twenty-eight thousand, nine hundred".