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45874609920 = 283253982171
BaseRepresentation
bin101010101110010101…
…101111111100000000
311101102002011122022200
4222232111233330000
51222422400004140
633024032033200
73212546515266
oct525625577400
9141362148280
1045874609920
1118501026467
128a83392800
134431187bc9
14231289a436
1512d7602030
hexaae56ff00

45874609920 has 108 divisors (see below), whose sum is σ = 158721411576. Its totient is φ = 12233226240.

The previous prime is 45874609919. The next prime is 45874609981. The reversal of 45874609920 is 2990647854.

45874609920 is a `hidden beast` number, since 4 + 5 + 8 + 7 + 4 + 609 + 9 + 20 = 666.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 1979566 + ... + 2002605.

Almost surely, 245874609920 is an apocalyptic number.

45874609920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45874609920 is an abundant number, since it is smaller than the sum of its proper divisors (112846801656).

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

45874609920 is a wasteful number, since it uses less digits than its factorization.

45874609920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3982198 (or 3982181 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 45874609920 in words is "forty-five billion, eight hundred seventy-four million, six hundred nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 5760 11520 3982171 7964342 11946513 15928684 19910855 23893026 31857368 35839539 39821710 47786052 59732565 63714736 71679078 79643420 95572104 119465130 127429472 143358156 159286840 179197695 191144208 238930260 254858944 286716312 318573680 358395390 382288416 477860520 509717888 573432624 637147360 716790780 764576832 955721040 1019435776 1146865248 1274294720 1433581560 1529153664 1911442080 2293730496 2548589440 2867163120 3058307328 3822884160 4587460992 5097178880 5734326240 7645768320 9174921984 11468652480 15291536640 22937304960 45874609920