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149024546496 = 2634719331653
BaseRepresentation
bin1000101011001010001…
…1100001111011000000
3112020122202222100020000
42022302203201323000
54420200240441441
6152243321120000
713523652513330
oct2126243417300
9466582870200
10149024546496
1158223520531
1224a70029000
131108c457c37
1472d9dd30c0
153d2314b2b6
hex22b28e1ec0

149024546496 has 560 divisors, whose sum is σ = 533856956160. Its totient is φ = 40154019840.

The previous prime is 149024546483. The next prime is 149024546597. The reversal of 149024546496 is 694645420941.

149024546496 is a `hidden beast` number, since 1 + 4 + 9 + 0 + 2 + 4 + 546 + 4 + 96 = 666.

It is a super-4 number, since 4×1490245464964 (a number of 46 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 228214906 + ... + 228215558.

Almost surely, 2149024546496 is an apocalyptic number.

149024546496 is a gapful number since it is divisible by the number (16) 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 149024546496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266928478080).

149024546496 is an abundant number, since it is smaller than the sum of its proper divisors (384832409664).

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

149024546496 is a wasteful number, since it uses less digits than its factorization.

149024546496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 149024546496 in words is "one hundred forty-nine billion, twenty-four million, five hundred forty-six thousand, four hundred ninety-six".