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540761409669 = 31329244337217
BaseRepresentation
bin1111101111001111110…
…01000100100010000101
31220200210120222212110010
413313213321010202011
532324434410102134
61052231121420433
754032400066405
oct7674771044205
91820716885403
10540761409669
11199376799928
1288977a9a719
133bcbbb911b0
141c25c992805
15e0ee3bcce9
hex7de7e44885

540761409669 has 48 divisors (see below), whose sum is σ = 806013254592. Its totient is φ = 320567310336.

The previous prime is 540761409647. The next prime is 540761409689. The reversal of 540761409669 is 966904167045.

It is not a de Polignac number, because 540761409669 - 215 = 540761376901 is a prime.

It is a super-2 number, since 2×5407614096692 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540761409689) 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, 14511349 + ... + 14548565.

It is an arithmetic number, because the mean of its divisors is an integer number (16791942804).

Almost surely, 2540761409669 is an apocalyptic number.

It is an amenable number.

540761409669 is a deficient number, since it is larger than the sum of its proper divisors (265251844923).

540761409669 is a wasteful number, since it uses less digits than its factorization.

540761409669 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37734 (or 37705 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 57.

The spelling of 540761409669 in words is "five hundred forty billion, seven hundred sixty-one million, four hundred nine thousand, six hundred sixty-nine".

Divisors: 1 3 13 29 39 87 377 443 841 1131 1329 2523 5759 10933 12847 17277 32799 37217 38541 111651 167011 372563 483821 501033 1079293 1117689 1451463 3237879 4843319 14030809 14529957 16487131 31299497 42092427 49461393 93898491 214332703 406893461 478126799 642998109 1220680383 1434380397 6215648387 13865677171 18646945161 41597031513 180253803223 540761409669