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149398878720 = 29357131911251
BaseRepresentation
bin1000101100100011011…
…1011111101000000000
3112021121212100101111110
42023020313133220000
54421432103104340
6152344412243320
713536146342040
oct2131067375000
9467555311443
10149398878720
11583a5854903
1224b55470540
131111bb803b0
1473339d5720
153d45e3e680
hex22c8ddfa00

149398878720 has 640 divisors, whose sum is σ = 618820392960. Its totient is φ = 29859840000.

The previous prime is 149398878697. The next prime is 149398878781. The reversal of 149398878720 is 27878893941.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13273095 + ... + 13284345.

It is an arithmetic number, because the mean of its divisors is an integer number (966906864).

Almost surely, 2149398878720 is an apocalyptic number.

149398878720 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 149398878720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309410196480).

149398878720 is an abundant number, since it is smaller than the sum of its proper divisors (469421514240).

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

149398878720 is a wasteful number, since it uses less digits than its factorization.

149398878720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11316 (or 11300 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 66.

The spelling of 149398878720 in words is "one hundred forty-nine billion, three hundred ninety-eight million, eight hundred seventy-eight thousand, seven hundred twenty".