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145324609920 = 27335719371709
BaseRepresentation
bin1000011101011000000…
…1011001000110000000
3111220002220220002102000
42013112001121012000
54340111100004140
6150432230424000
713333164542250
oct2072601310600
9456086802360
10145324609920
11566a4a54406
12241b8b02000
131091ca57159
14706886b960
153ba83e8a30
hex21d6059180

145324609920 has 1024 divisors, whose sum is σ = 636284160000. Its totient is φ = 30600364032.

The previous prime is 145324609889. The next prime is 145324609951. The reversal of 145324609920 is 29906423541.

145324609920 is a `hidden beast` number, since 1 + 4 + 5 + 32 + 4 + 609 + 9 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (145324609889) and next prime (145324609951).

It is a super-2 number, since 2×1453246099202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 85034026 + ... + 85035734.

It is an arithmetic number, because the mean of its divisors is an integer number (621371250).

Almost surely, 2145324609920 is an apocalyptic number.

145324609920 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 145324609920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318142080000).

145324609920 is an abundant number, since it is smaller than the sum of its proper divisors (490959550080).

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

145324609920 is a wasteful number, since it uses less digits than its factorization.

145324609920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 145324609920 in words is "one hundred forty-five billion, three hundred twenty-four million, six hundred nine thousand, nine hundred twenty".