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149665480704 = 2173537127
BaseRepresentation
bin1000101101100011000…
…0100000000000000000
3112022022110000011200000
42023120300200000000
54423003330340304
6152431054400000
713545564411225
oct2133060400000
9468273004600
10149665480704
1158522297923
122500a800000
131116218664c
14735b19394c
153d5e552939
hex22d8c20000

149665480704 has 432 divisors, whose sum is σ = 464123132928. Its totient is φ = 48157949952.

The previous prime is 149665480693. The next prime is 149665480709. The reversal of 149665480704 is 407084566941.

149665480704 is a `hidden beast` number, since 1 + 4 + 96 + 6 + 5 + 480 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×1496654807042 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (149665480709) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1178468289 + ... + 1178468415.

It is an arithmetic number, because the mean of its divisors is an integer number (1074359104).

Almost surely, 2149665480704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149665480704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232061566464).

149665480704 is an abundant number, since it is smaller than the sum of its proper divisors (314457652224).

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

149665480704 is an frugal number, since it uses more digits than its factorization.

149665480704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 149665480704 in words is "one hundred forty-nine billion, six hundred sixty-five million, four hundred eighty thousand, seven hundred four".