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540468627176764 = 2211137499126000163
BaseRepresentation
bin111101011100011011010100…
…0100010001111110100111100
32121212122021222220012211011101
41322320312220202033310330
51031320014222024124024
65153251505404502444
7221561366263346116
oct17270665042176474
92555567886184141
10540468627176764
11147234504064950
125074a53584aa24
131a275c8548c590
149766b6d2743b6
154273c68d4bc44
hex1eb8da888fd3c

540468627176764 has 48 divisors (see below), whose sum is σ = 1111321446480000. Its totient is φ = 226739811522240.

The previous prime is 540468627176743. The next prime is 540468627176771. The reversal of 540468627176764 is 467671726864045.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58710654 + ... + 67289509.

It is an arithmetic number, because the mean of its divisors is an integer number (23152530135000).

Almost surely, 2540468627176764 is an apocalyptic number.

It is an amenable number.

540468627176764 is an abundant number, since it is smaller than the sum of its proper divisors (570852819303236).

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

540468627176764 is a wasteful number, since it uses less digits than its factorization.

540468627176764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126007690 (or 126007688 counting only the distinct ones).

The product of its (nonzero) digits is 2275983360, while the sum is 73.

The spelling of 540468627176764 in words is "five hundred forty trillion, four hundred sixty-eight billion, six hundred twenty-seven million, one hundred seventy-six thousand, seven hundred sixty-four".

Divisors: 1 2 4 11 13 22 26 44 52 143 286 572 7499 14998 29996 82489 97487 164978 194974 329956 389948 1072357 2144714 4289428 126000163 252000326 504000652 1386001793 1638002119 2772003586 3276004238 5544007172 6552008476 18018023309 36036046618 72072093236 944875222337 1889750444674 3779500889348 10393627445707 12283377890381 20787254891414 24566755780762 41574509782828 49133511561524 135117156794191 270234313588382 540468627176764