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149322804480 = 2833543891129
BaseRepresentation
bin1000101100010001010…
…1010010110100000000
3112021102120012102021000
42023010111102310000
54421303114220410
6152333053532000
713534233616203
oct2130425226400
9467376172230
10149322804480
1158366915133
1224b33aa4000
1311109195b55
14732787193a
153d3e413dc0
hex22c4552d00

149322804480 has 576 divisors, whose sum is σ = 548789472000. Its totient is φ = 38422315008.

The previous prime is 149322804473. The next prime is 149322804497. The reversal of 149322804480 is 84408223941.

149322804480 is a `hidden beast` number, since 1 + 4 + 93 + 2 + 2 + 80 + 4 + 480 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 132260556 + ... + 132261684.

It is an arithmetic number, because the mean of its divisors is an integer number (952759500).

Almost surely, 2149322804480 is an apocalyptic number.

149322804480 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 149322804480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274394736000).

149322804480 is an abundant number, since it is smaller than the sum of its proper divisors (399466667520).

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

149322804480 is a wasteful number, since it uses less digits than its factorization.

149322804480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 149322804480 in words is "one hundred forty-nine billion, three hundred twenty-two million, eight hundred four thousand, four hundred eighty".