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149624731464 = 233131771834787
BaseRepresentation
bin1000101101011001010…
…1000011011101001000
3112022012121022220012220
42023112111003131020
54422412412401324
6152423041134040
713544561142615
oct2132625033510
9468177286186
10149624731464
115850129536a
1224bb902a320
13111568b9a80
1473559c750c
153d5aba3b79
hex22d6543748

149624731464 has 256 divisors, whose sum is σ = 437842298880. Its totient is φ = 42196439040.

The previous prime is 149624731429. The next prime is 149624731469. The reversal of 149624731464 is 464137426941.

It is a super-2 number, since 2×1496247314642 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (149624731469) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 31254079 + ... + 31258865.

It is an arithmetic number, because the mean of its divisors is an integer number (1710321480).

Almost surely, 2149624731464 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 149624731464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218921149440).

149624731464 is an abundant number, since it is smaller than the sum of its proper divisors (288217567416).

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

149624731464 is a wasteful number, since it uses less digits than its factorization.

149624731464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4980 (or 4976 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 51.

The spelling of 149624731464 in words is "one hundred forty-nine billion, six hundred twenty-four million, seven hundred thirty-one thousand, four hundred sixty-four".