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540972515103 = 31921916773863
BaseRepresentation
bin1111101111101000111…
…10010111111100011111
31220201100022020010122220
413313310132113330133
532330402430440403
61052304102240423
754040542336216
oct7676436277437
91821308203586
10540972515103
11199474977529
1288a16726113
133c023836257
141c27ca2607d
15e112bbc953
hex7df4797f1f

540972515103 has 48 divisors (see below), whose sum is σ = 766572097536. Its totient is φ = 339288131520.

The previous prime is 540972515099. The next prime is 540972515113. The reversal of 540972515103 is 301515279045.

It is a happy number.

It is not a de Polignac number, because 540972515103 - 22 = 540972515099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540972515113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140037550 + ... + 140041412.

It is an arithmetic number, because the mean of its divisors is an integer number (15970252032).

Almost surely, 2540972515103 is an apocalyptic number.

540972515103 is a deficient number, since it is larger than the sum of its proper divisors (225599582433).

540972515103 is a wasteful number, since it uses less digits than its factorization.

540972515103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4772 (or 4753 counting only the distinct ones).

The product of its (nonzero) digits is 189000, while the sum is 42.

The spelling of 540972515103 in words is "five hundred forty billion, nine hundred seventy-two million, five hundred fifteen thousand, one hundred three".

Divisors: 1 3 19 57 191 361 573 677 1083 2031 3629 3863 10887 11589 12863 38589 68951 73397 129307 206853 220191 244397 387921 733191 737833 1394543 2213499 2456833 2615251 4183629 7370499 7845753 14018827 42056481 46679827 49689769 140039481 149069307 266357713 499512941 799073139 944105611 1498538823 2832316833 9490745879 28472237637 180324171701 540972515103