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145663650 = 233521117577
BaseRepresentation
bin10001010111010…
…10011010100010
3101011002110222000
420223222122202
5244242214100
622242024430
73416056236
oct1053523242
9334073860
10145663650
1175250290
1240948116
1324241212
14154ba5c6
15cbc4900
hex8aea6a2

145663650 has 192 divisors, whose sum is σ = 464434560. Its totient is φ = 33177600.

The previous prime is 145663649. The next prime is 145663657. The reversal of 145663650 is 56366541.

145663650 is a `hidden beast` number, since 14 + 5 + 6 + 636 + 5 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145663657) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 252162 + ... + 252738.

It is an arithmetic number, because the mean of its divisors is an integer number (2418930).

Almost surely, 2145663650 is an apocalyptic number.

145663650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145663650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232217280).

145663650 is an abundant number, since it is smaller than the sum of its proper divisors (318770910).

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

145663650 is a wasteful number, since it uses less digits than its factorization.

145663650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 145663650 is about 12069.1196862074. The cubic root of 145663650 is about 526.1590718223.

The spelling of 145663650 in words is "one hundred forty-five million, six hundred sixty-three thousand, six hundred fifty".