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149842062720 = 27325722918307
BaseRepresentation
bin1000101110001101001…
…0000110110110000000
3112022202202021110122200
42023203102012312000
54423334032001340
6152500403233200
713553140342500
oct2134322066600
9468682243580
10149842062720
1158602a35579
1225059978800
131118c93184c
1473767dba00
153d6ecd3330
hex22e3486d80

149842062720 has 576 divisors, whose sum is σ = 622689865200. Its totient is φ = 33066786816.

The previous prime is 149842062703. The next prime is 149842062757. The reversal of 149842062720 is 27260248941.

149842062720 is a `hidden beast` number, since 14 + 9 + 8 + 4 + 2 + 0 + 627 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 8175807 + ... + 8194113.

Almost surely, 2149842062720 is an apocalyptic number.

149842062720 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 149842062720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311344932600).

149842062720 is an abundant number, since it is smaller than the sum of its proper divisors (472847802480).

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

149842062720 is a wasteful number, since it uses less digits than its factorization.

149842062720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18375 (or 18353 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 149842062720 in words is "one hundred forty-nine billion, eight hundred forty-two million, sixty-two thousand, seven hundred twenty".