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145320246500 = 225311136313221
BaseRepresentation
bin1000011101010111000…
…0101111110011100100
3111220002121200101220212
42013111300233303210
54340103440342000
6150431553114552
713333112500022
oct2072560576344
9456077611825
10145320246500
11566a2544080
12241b7558a58
131091bb8a050
147068053712
153ba7d35c35
hex21d5c2fce4

145320246500 has 192 divisors, whose sum is σ = 373572186624. Its totient is φ = 48686400000.

The previous prime is 145320246499. The next prime is 145320246509. The reversal of 145320246500 is 5642023541.

It is a super-2 number, since 2×1453202465002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145320246509) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45114890 + ... + 45118110.

It is an arithmetic number, because the mean of its divisors is an integer number (1945688472).

Almost surely, 2145320246500 is an apocalyptic number.

145320246500 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 145320246500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186786093312).

145320246500 is an abundant number, since it is smaller than the sum of its proper divisors (228251940124).

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

145320246500 is a wasteful number, since it uses less digits than its factorization.

145320246500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3895 (or 3883 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The spelling of 145320246500 in words is "one hundred forty-five billion, three hundred twenty million, two hundred forty-six thousand, five hundred".