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149642970624 = 2932724759239
BaseRepresentation
bin1000101101011101101…
…0101000011000000000
3112022020212122112122100
42023113122220120000
54422432100024444
6152424532110400
713545202156200
oct2132732503000
9468225575570
10149642970624
1158510612754
1225003165400
131115a604884
1473581b4400
153d5c5a7e69
hex22d76a8600

149642970624 has 720 divisors, whose sum is σ = 523959321600. Its totient is φ = 40964087808.

The previous prime is 149642970601. The next prime is 149642970661. The reversal of 149642970624 is 426079246941.

149642970624 is a `hidden beast` number, since 1 + 4 + 9 + 6 + 4 + 2 + 9 + 7 + 0 + 624 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 626121097 + ... + 626121335.

It is an arithmetic number, because the mean of its divisors is an integer number (727721280).

Almost surely, 2149642970624 is an apocalyptic number.

149642970624 is a gapful number since it is divisible by the number (14) 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 149642970624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261979660800).

149642970624 is an abundant number, since it is smaller than the sum of its proper divisors (374316350976).

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

149642970624 is a wasteful number, since it uses less digits than its factorization.

149642970624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 149642970624 in words is "one hundred forty-nine billion, six hundred forty-two million, nine hundred seventy thousand, six hundred twenty-four".