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149552990496 = 253471331113181
BaseRepresentation
bin1000101101001000001…
…1011000100100100000
3112022000121100002010000
42023102003120210200
54422241031143441
6152411555340000
713543030305360
oct2132203304440
9468017302100
10149552990496
1158474845308
1224b98bb1600
1311144a8b9b0
14734a2709a0
153d547322b6
hex22d20d8920

149552990496 has 960 divisors, whose sum is σ = 566852622336. Its totient is φ = 37623398400.

The previous prime is 149552990453. The next prime is 149552990533. The reversal of 149552990496 is 694099255941.

149552990496 is a `hidden beast` number, since 1 + 4 + 9 + 5 + 52 + 9 + 90 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 159 ways as a sum of consecutive naturals, for example, 826259526 + ... + 826259706.

Almost surely, 2149552990496 is an apocalyptic number.

149552990496 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 149552990496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283426311168).

149552990496 is an abundant number, since it is smaller than the sum of its proper divisors (417299631840).

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

149552990496 is a wasteful number, since it uses less digits than its factorization.

149552990496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 31492800, while the sum is 63.

The spelling of 149552990496 in words is "one hundred forty-nine billion, five hundred fifty-two million, nine hundred ninety thousand, four hundred ninety-six".