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45454040544 = 25311409910501
BaseRepresentation
bin101010010101010001…
…011001110111100000
311100022202210111121010
4222111101121313200
51221042213244134
632514205500520
73166251653433
oct522521316740
9140282714533
1045454040544
1118305691470
128986571740
134394cc3ca3
1422b2a9d81a
1512b0728ce9
hexa95459de0

45454040544 has 96 divisors (see below), whose sum is σ = 130207996800. Its totient is φ = 13769280000.

The previous prime is 45454040509. The next prime is 45454040549. The reversal of 45454040544 is 44504045454.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45454040549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4323294 + ... + 4333794.

It is an arithmetic number, because the mean of its divisors is an integer number (1356333300).

Almost surely, 245454040544 is an apocalyptic number.

45454040544 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

45454040544 is an abundant number, since it is smaller than the sum of its proper divisors (84753956256).

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

45454040544 is a wasteful number, since it uses less digits than its factorization.

45454040544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14624 (or 14616 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 39.

Adding to 45454040544 its reverse (44504045454), we get a palindrome (89958085998).

The spelling of 45454040544 in words is "forty-five billion, four hundred fifty-four million, forty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 4099 8198 10501 12297 16396 21002 24594 31503 32792 42004 45089 49188 63006 65584 84008 90178 98376 115511 126012 131168 135267 168016 180356 196752 231022 252024 270534 336032 346533 360712 393504 462044 504048 541068 693066 721424 924088 1008096 1082136 1386132 1442848 1848176 2164272 2772264 3696352 4328544 5544528 11089056 43043599 86087198 129130797 172174396 258261594 344348792 473479589 516523188 688697584 946959178 1033046376 1377395168 1420438767 1893918356 2066092752 2840877534 3787836712 4132185504 5681755068 7575673424 11363510136 15151346848 22727020272 45454040544