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149572697040 = 24335136018863
BaseRepresentation
bin1000101101001100111…
…0100011101111010000
3112022001222102021102000
42023103032203233100
54422311102301130
6152413541554000
713543356643014
oct2132316435720
9468058367360
10149572697040
1158484985108
1224ba3715900
1311148b9b680
14734cb20544
153d56326260
hex22d33a3bd0

149572697040 has 320 divisors, whose sum is σ = 555811092480. Its totient is φ = 36752486400.

The previous prime is 149572697017. The next prime is 149572697077. The reversal of 149572697040 is 40796275941.

149572697040 is a `hidden beast` number, since 1 + 4 + 9 + 572 + 69 + 7 + 0 + 4 + 0 = 666.

149572697040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16871649 + ... + 16880511.

It is an arithmetic number, because the mean of its divisors is an integer number (1736909664).

Almost surely, 2149572697040 is an apocalyptic number.

149572697040 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 149572697040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277905546240).

149572697040 is an abundant number, since it is smaller than the sum of its proper divisors (406238395440).

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

149572697040 is a wasteful number, since it uses less digits than its factorization.

149572697040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9499 (or 9487 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 149572697040 in words is "one hundred forty-nine billion, five hundred seventy-two million, six hundred ninety-seven thousand, forty".