Search a number
-
+
54542121110766 = 234457736717199
BaseRepresentation
bin11000110011011000100111…
…10000010000110011101110
321011010011202012100210210000
430121230103300100303232
524122104231001021031
6312000145440125130
714326352415015042
oct1431542360206356
9234104665323700
1054542121110766
11164192025030a3
12614a7660067a6
1324583b8cbb753
14d67bd1d1c022
15648b7456c3e6
hex319b13c10cee

54542121110766 has 40 divisors (see below), whose sum is σ = 122482181368800. Its totient is φ = 18140924283552.

The previous prime is 54542121110761. The next prime is 54542121110779. The reversal of 54542121110766 is 66701112124545.

54542121110766 is a `hidden beast` number, since 5 + 4 + 5 + 421 + 211 + 1 + 0 + 7 + 6 + 6 = 666.

It is a super-2 number, since 2×545421211107662 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54542121110761) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 368284566 + ... + 368432633.

It is an arithmetic number, because the mean of its divisors is an integer number (3062054534220).

Almost surely, 254542121110766 is an apocalyptic number.

54542121110766 is an abundant number, since it is smaller than the sum of its proper divisors (67940060258034).

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

54542121110766 is a wasteful number, since it uses less digits than its factorization.

54542121110766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736717670 (or 736717661 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 54542121110766 in words is "fifty-four trillion, five hundred forty-two billion, one hundred twenty-one million, one hundred ten thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 457 914 1371 2742 4113 8226 12339 24678 37017 74034 736717199 1473434398 2210151597 4420303194 6630454791 13260909582 19891364373 39782728746 59674093119 119348186238 336679759943 673359519886 1010039279829 2020078559658 3030117839487 6060235678974 9090353518461 18180707036922 27271060555383 54542121110766