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546705456457472 = 28134111071361909
BaseRepresentation
bin111110001001110011100100…
…0100001110110011100000000
32122200201112100020211100212122
41330103213020201312130000
51033124210233323114342
65214425004113143412
7223104110601466454
oct17423471041663400
92580645306740778
10546705456457472
11149219533652174
125139721b25ab68
131a609146034a20
14990098458a664
1543310e46c84d2
hex1f139c8876700

546705456457472 has 144 divisors (see below), whose sum is σ = 1203995563599360. Its totient is φ = 246148396646400.

The previous prime is 546705456457453. The next prime is 546705456457541. The reversal of 546705456457472 is 274754654507645.

It is a super-2 number, since 2×5467054564574722 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 546705456457396 and 546705456457405.

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, 1510434854 + ... + 1510796762.

Almost surely, 2546705456457472 is an apocalyptic number.

546705456457472 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 546705456457472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601997781799680).

546705456457472 is an abundant number, since it is smaller than the sum of its proper divisors (657290107141888).

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

546705456457472 is a wasteful number, since it uses less digits than its factorization.

546705456457472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373050 (or 373036 counting only the distinct ones).

The product of its (nonzero) digits is 3951360000, while the sum is 71.

The spelling of 546705456457472 in words is "five hundred forty-six trillion, seven hundred five billion, four hundred fifty-six million, four hundred fifty-seven thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 41 52 64 82 104 128 164 208 256 328 416 533 656 832 1066 1312 1664 2132 2624 3328 4264 5248 8528 10496 11071 17056 22142 34112 44284 68224 88568 136448 143923 177136 287846 354272 361909 453911 575692 708544 723818 907822 1151384 1417088 1447636 1815644 2302768 2834176 2895272 3631288 4605536 4704817 5790544 5900843 7262576 9211072 9409634 11581088 11801686 14525152 14838269 18422144 18819268 23162176 23603372 29050304 29676538 36844288 37638536 46324352 47206744 58100608 59353076 75277072 92648704 94413488 116201216 118706152 150554144 188826976 192897497 237412304 301108288 377653952 385794994 474824608 602216576 755307904 771589988 949649216 1204433152 1510615808 1543179976 1899298432 3086359952 3798596864 4006694539 6172719904 8013389078 12345439808 16026778156 24690879616 32053556312 49381759232 52087029007 64107112624 104174058014 128214225248 164274476099 208348116028 256428450496 328548952198 416696232056 512856900992 657097904396 833392464112 1025713801984 1314195808792 1666784928224 2135568189287 2628391617584 3333569856448 4271136378574 5256783235168 6667139712896 8542272757148 10513566470336 13334279425792 17084545514296 21027132940672 34169091028592 42054265881344 68338182057184 136676364114368 273352728228736 546705456457472