Search a number
-
+
54560656073660 = 2251110915714492081
BaseRepresentation
bin11000110011111011001001…
…00001100010001110111100
321011011221120221011110221012
430121331210201202032330
524122410210423324120
6312012452552454352
714330606630422532
oct1431754441421674
9234157527143835
1054560656073660
1116426053a62050
1261522793aa3b8
13245a080cc6009
14d68a6d802152
156493ab8981c5
hex319f648623bc

54560656073660 has 96 divisors (see below), whose sum is σ = 126943682120640. Its totient is φ = 19533005107200.

The previous prime is 54560656073653. The next prime is 54560656073663. The reversal of 54560656073660 is 6637065606545.

It is a happy number.

54560656073660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 54560656073660.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54560656073663) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3481181 + ... + 11010900.

It is an arithmetic number, because the mean of its divisors is an integer number (1322330022090).

Almost surely, 254560656073660 is an apocalyptic number.

It is an amenable number.

54560656073660 is an abundant number, since it is smaller than the sum of its proper divisors (72383026046980).

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

54560656073660 is a wasteful number, since it uses less digits than its factorization.

54560656073660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14492367 (or 14492365 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 59.

The spelling of 54560656073660 in words is "fifty-four trillion, five hundred sixty billion, six hundred fifty-six million, seventy-three thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 109 110 157 218 220 314 436 545 628 785 1090 1199 1570 1727 2180 2398 3140 3454 4796 5995 6908 8635 11990 17113 17270 23980 34226 34540 68452 85565 171130 188243 342260 376486 752972 941215 1882430 3764860 14492081 28984162 57968324 72460405 144920810 159412891 289841620 318825782 637651564 797064455 1579636829 1594128910 2275256717 3159273658 3188257820 4550513434 6318547316 7898184145 9101026868 11376283585 15796368290 17376005119 22752567170 25027823887 31592736580 34752010238 45505134340 50055647774 69504020476 86880025595 100111295548 125139119435 173760051190 248002982153 250278238870 347520102380 496005964306 500556477740 992011928612 1240014910765 2480029821530 2728032803683 4960059643060 5456065607366 10912131214732 13640164018415 27280328036830 54560656073660