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264522037472 = 257211293714293
BaseRepresentation
bin1111011001011010111…
…1011111100011100000
3221021202222212210110222
43312112233133203200
513313220120144342
6321304133142212
725053050135300
oct3662657374340
9837688783428
10264522037472
11a2201880a10
1243323a8a968
131bc3789a784
14cb35379600
156d32bb9ed2
hex3d96bdf8e0

264522037472 has 288 divisors, whose sum is σ = 702191034720. Its totient is φ = 96810577920.

The previous prime is 264522037471. The next prime is 264522037489. The reversal of 264522037472 is 274730225462.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264522037471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18499958 + ... + 18514250.

It is an arithmetic number, because the mean of its divisors is an integer number (2438163315).

Almost surely, 2264522037472 is an apocalyptic number.

264522037472 is a gapful number since it is divisible by the number (22) 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 264522037472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351095517360).

264522037472 is an abundant number, since it is smaller than the sum of its proper divisors (437668997248).

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

264522037472 is a wasteful number, since it uses less digits than its factorization.

264522037472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14394 (or 14379 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 44.

The spelling of 264522037472 in words is "two hundred sixty-four billion, five hundred twenty-two million, thirty-seven thousand, four hundred seventy-two".