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4540380078624 = 2531331117358873
BaseRepresentation
bin100001000010010001110…
…1111011110001000100000
3121002001111220010221112020
41002010203233132020200
51043342144300003444
613353453302301440
7646013564614305
oct102044357361040
917061456127466
104540380078624
1114a0623206875
12613b58127880
1326c204983950
14119a813cb0ac
157d18bb51119
hex42123bde220

4540380078624 has 96 divisors (see below), whose sum is σ = 13249347439104. Its totient is φ = 1351974205440.

The previous prime is 4540380078623. The next prime is 4540380078643. The reversal of 4540380078624 is 4268700830454.

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

It is not an unprimeable number, because it can be changed into a prime (4540380078623) 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, 58640749 + ... + 58718124.

It is an arithmetic number, because the mean of its divisors is an integer number (138014035824).

Almost surely, 24540380078624 is an apocalyptic number.

It is an amenable number.

4540380078624 is an abundant number, since it is smaller than the sum of its proper divisors (8708967360480).

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

4540380078624 is a wasteful number, since it uses less digits than its factorization.

4540380078624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117358930 (or 117358922 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 51.

The spelling of 4540380078624 in words is "four trillion, five hundred forty billion, three hundred eighty million, seventy-eight thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 78 93 96 104 124 156 186 208 248 312 372 403 416 496 624 744 806 992 1209 1248 1488 1612 2418 2976 3224 4836 6448 9672 12896 19344 38688 117358873 234717746 352076619 469435492 704153238 938870984 1408306476 1525665349 1877741968 2816612952 3051330698 3638125063 3755483936 4576996047 5633225904 6102661396 7276250126 9153992094 10914375189 11266451808 12205322792 14552500252 18307984188 21828750378 24410645584 29105000504 36615968376 43657500756 47295625819 48821291168 58210001008 73231936752 87315001512 94591251638 116420002016 141886877457 146463873504 174630003024 189182503276 283773754914 349260006048 378365006552 567547509828 756730013104 1135095019656 1513460026208 2270190039312 4540380078624