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145332266508 = 22321113235323159
BaseRepresentation
bin1000011101011001111…
…0100110011000001100
3111220010110022002021100
42013112132212120030
54340120030012013
6150433102503100
713333316611542
oct2072636463014
9456113262240
10145332266508
11566a9303970
12241bb594a90
1310921508190
1470698a1d92
153ba8e0c473
hex21d67a660c

145332266508 has 288 divisors, whose sum is σ = 458874823680. Its totient is φ = 38149562880.

The previous prime is 145332266461. The next prime is 145332266539. The reversal of 145332266508 is 805662233541.

145332266508 is a `hidden beast` number, since 1 + 4 + 5 + 332 + 266 + 50 + 8 = 666.

It is a super-2 number, since 2×1453322665082 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6263833 + ... + 6286991.

It is an arithmetic number, because the mean of its divisors is an integer number (1593315360).

Almost surely, 2145332266508 is an apocalyptic number.

145332266508 is a gapful number since it is divisible by the number (18) 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 145332266508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229437411840).

145332266508 is an abundant number, since it is smaller than the sum of its proper divisors (313542557172).

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

145332266508 is a wasteful number, since it uses less digits than its factorization.

145332266508 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23269 (or 23264 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 145332266508 in words is "one hundred forty-five billion, three hundred thirty-two million, two hundred sixty-six thousand, five hundred eight".