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545352383664 = 243311114762707
BaseRepresentation
bin1111110111110011000…
…10001111110010110000
31221010122112201111211000
413323321202033302300
532413340202234124
61054310442122000
754254224530264
oct7737142176260
91833575644730
10545352383664
111a0312226610
12898394b0300
133c57106b05a
141c5765c00a4
15e2bc47b6c9
hex7ef988fcb0

545352383664 has 80 divisors (see below), whose sum is σ = 1707669095040. Its totient is φ = 165258296640.

The previous prime is 545352383663. The next prime is 545352383699. The reversal of 545352383664 is 466383253545.

545352383664 is a `hidden beast` number, since 5 + 4 + 53 + 523 + 8 + 3 + 6 + 64 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 545352383664.

It is not an unprimeable number, because it can be changed into a prime (545352383663) 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 15 ways as a sum of consecutive naturals, for example, 57376602 + ... + 57386105.

It is an arithmetic number, because the mean of its divisors is an integer number (21345863688).

Almost surely, 2545352383664 is an apocalyptic number.

545352383664 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

545352383664 is an abundant number, since it is smaller than the sum of its proper divisors (1162316711376).

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

545352383664 is a wasteful number, since it uses less digits than its factorization.

545352383664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114762735 (or 114762723 counting only the distinct ones).

The product of its digits is 31104000, while the sum is 54.

The spelling of 545352383664 in words is "five hundred forty-five billion, three hundred fifty-two million, three hundred eighty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 114762707 229525414 344288121 459050828 688576242 918101656 1032864363 1262389777 1377152484 1836203312 2065728726 2524779554 2754304968 3098593089 3787169331 4131457452 5049559108 5508609936 6197186178 7574338662 8262914904 10099118216 11361507993 12394372356 15148677324 16525829808 20198236432 22723015986 24788744712 30297354648 34084523979 45446031972 49577489424 60594709296 68169047958 90892063944 136338095916 181784127888 272676191832 545352383664