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540305151001504 = 2574435444868097
BaseRepresentation
bin111101011011001111001100…
…0100110001000001110100000
32121212001200000221221200011121
41322312132120212020032200
51031304324422124022004
65153044432035022024
7221543521216652140
oct17266363046101640
92555050027850147
10540305151001504
11147181145017879
1250722911a3a914
131a263731ca8625
14975cca1c04920
15426e89c10b854
hex1eb67989883a0

540305151001504 has 48 divisors (see below), whose sum is σ = 1218430803498048. Its totient is φ = 231036643049472.

The previous prime is 540305151001459. The next prime is 540305151001513. The reversal of 540305151001504 is 405100151503045.

It is a self number, because there is not a number n which added to its sum of digits gives 540305151001504.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2722334817 + ... + 2722533280.

It is an arithmetic number, because the mean of its divisors is an integer number (25383975072876).

Almost surely, 2540305151001504 is an apocalyptic number.

It is an amenable number.

540305151001504 is an abundant number, since it is smaller than the sum of its proper divisors (678125652496544).

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

540305151001504 is a wasteful number, since it uses less digits than its factorization.

540305151001504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5444868557 (or 5444868549 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 34.

The spelling of 540305151001504 in words is "five hundred forty trillion, three hundred five billion, one hundred fifty-one million, one thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 443 886 1772 3101 3544 6202 7088 12404 14176 24808 49616 99232 5444868097 10889736194 21779472388 38114076679 43558944776 76228153358 87117889552 152456306716 174235779104 304912613432 609825226864 1219650453728 2412076566971 4824153133942 9648306267884 16884535968797 19296612535768 33769071937594 38593225071536 67538143875188 77186450143072 135076287750376 270152575500752 540305151001504