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45954636780 = 22351382971069
BaseRepresentation
bin101010110011000111…
…000001101111101100
311101121122202102112110
4222303013001233230
51223103341334110
633040011204020
73214540652613
oct526307015754
9141548672473
1045954636780
1118542215868
128aa6146610
134444927590
14231d36c87a
1512de65da20
hexab31c1bec

45954636780 has 96 divisors (see below), whose sum is σ = 138740011200. Its totient is φ = 11298106368.

The previous prime is 45954636779. The next prime is 45954636797. The reversal of 45954636780 is 8763645954.

It is a super-2 number, since 2×459546367802 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45954636780.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 611086 + ... + 682154.

It is an arithmetic number, because the mean of its divisors is an integer number (1445208450).

Almost surely, 245954636780 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45954636780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69370005600).

45954636780 is an abundant number, since it is smaller than the sum of its proper divisors (92785374420).

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

45954636780 is a wasteful number, since it uses less digits than its factorization.

45954636780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71923 (or 71921 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 57.

The spelling of 45954636780 in words is "forty-five billion, nine hundred fifty-four million, six hundred thirty-six thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 829 1658 2487 3316 4145 4974 8290 9948 10777 12435 16580 21554 24870 32331 43108 49740 53885 64662 71069 107770 129324 142138 161655 213207 215540 284276 323310 355345 426414 646620 710690 852828 923897 1066035 1421380 1847794 2132070 2771691 3695588 4264140 4619485 5543382 9238970 11086764 13858455 18477940 27716910 55433820 58916201 117832402 176748603 235664804 294581005 353497206 589162010 706994412 765910613 883743015 1178324020 1531821226 1767486030 2297731839 3063642452 3534972060 3829553065 4595463678 7659106130 9190927356 11488659195 15318212260 22977318390 45954636780