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149350384560 = 2435133761127167
BaseRepresentation
bin1000101100010111111…
…0100000001110110000
3112021111111002122000110
42023011332200032300
54421332144301220
6152335521021320
713535020215456
oct2130576401660
9467444078013
10149350384560
1158380442493
1224b41184840
1311111b01520
14732b3b09d6
153d41a60be0
hex22c5fa03b0

149350384560 has 640 divisors, whose sum is σ = 527710224384. Its totient is φ = 34697134080.

The previous prime is 149350384549. The next prime is 149350384619. The reversal of 149350384560 is 65483053941.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 894313597 + ... + 894313763.

Almost surely, 2149350384560 is an apocalyptic number.

149350384560 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 149350384560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263855112192).

149350384560 is an abundant number, since it is smaller than the sum of its proper divisors (378359839824).

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

149350384560 is a wasteful number, since it uses less digits than its factorization.

149350384560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 149350384560 in words is "one hundred forty-nine billion, three hundred fifty million, three hundred eighty-four thousand, five hundred sixty".