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149297527680 = 2735733171103
BaseRepresentation
bin1000101100001011010…
…0110111101110000000
3112021100210122020000020
42023002310313232000
54421230131341210
6152330352053440
713533506022000
oct2130264675600
9467323566006
10149297527680
1158353620314
1224b27534280
1311103b85972
147324372000
153d3c0be770
hex22c2d37b80

149297527680 has 1024 divisors, whose sum is σ = 586579968000. Its totient is φ = 32243097600.

The previous prime is 149297527663. The next prime is 149297527727. The reversal of 149297527680 is 86725792941.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 1449490509 + ... + 1449490611.

It is an arithmetic number, because the mean of its divisors is an integer number (572832000).

Almost surely, 2149297527680 is an apocalyptic number.

149297527680 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 149297527680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293289984000).

149297527680 is an abundant number, since it is smaller than the sum of its proper divisors (437282440320).

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

149297527680 is a wasteful number, since it uses less digits than its factorization.

149297527680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 60.

The spelling of 149297527680 in words is "one hundred forty-nine billion, two hundred ninety-seven million, five hundred twenty-seven thousand, six hundred eighty".