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5540378918144 = 2876150684087
BaseRepresentation
bin101000010011111100001…
…0100010011110100000000
3201121122200112101102010112
41100213320110103310000
51211233144000340034
615441114232050452
71111164516531110
oct120477024236400
921548615342115
105540378918144
111846730509894
12755919833a28
133125bc9341c5
14152227611040
15991b82387ce
hex509f8513d00

5540378918144 has 72 divisors (see below), whose sum is σ = 12846186208128. Its totient is φ = 2335522682880.

The previous prime is 5540378918143. The next prime is 5540378918147. The reversal of 5540378918144 is 4418198730455.

It is a happy number.

It is a super-2 number, since 2×55403789181442 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5540378918141) 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 7 ways as a sum of consecutive naturals, for example, 25232732 + ... + 25451355.

Almost surely, 25540378918144 is an apocalyptic number.

It is an amenable number.

5540378918144 is an abundant number, since it is smaller than the sum of its proper divisors (7305807289984).

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

5540378918144 is an equidigital number, since it uses as much as digits as its factorization.

5540378918144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50684171 (or 50684157 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 59.

The spelling of 5540378918144 in words is "five trillion, five hundred forty billion, three hundred seventy-eight million, nine hundred eighteen thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 64 112 122 128 224 244 256 427 448 488 854 896 976 1708 1792 1952 3416 3904 6832 7808 13664 15616 27328 54656 109312 50684087 101368174 202736348 354788609 405472696 709577218 810945392 1419154436 1621890784 2838308872 3091729307 3243781568 5676617744 6183458614 6487563136 11353235488 12366917228 12975126272 21642105149 22706470976 24733834456 43284210298 45412941952 49467668912 86568420596 90825883904 98935337824 173136841192 197870675648 346273682384 395741351296 692547364768 791482702592 1385094729536 2770189459072 5540378918144