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53046620640 = 25325132833687
BaseRepresentation
bin110001011001110100…
…110011000111100000
312001220220120112110100
4301121310303013200
51332114413330030
640211433102400
73555354556446
oct613164630740
9161826515410
1053046620640
1120551486252
12a345257a00
135004cc8430
1427d31d0b96
1515a7097360
hexc59d331e0

53046620640 has 144 divisors (see below), whose sum is σ = 194946399648. Its totient is φ = 13057625088.

The previous prime is 53046620639. The next prime is 53046620677. The reversal of 53046620640 is 4602664035.

53046620640 is a `hidden beast` number, since 5 + 3 + 0 + 4 + 6 + 6 + 2 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×530466206402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 53046620595 and 53046620604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1398124 + ... + 1435563.

It is an arithmetic number, because the mean of its divisors is an integer number (1353794442).

Almost surely, 253046620640 is an apocalyptic number.

It is an amenable number.

53046620640 is an abundant number, since it is smaller than the sum of its proper divisors (141899779008).

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

53046620640 is a wasteful number, since it uses less digits than its factorization.

53046620640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2833721 (or 2833710 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 53046620640 in words is "fifty-three billion, forty-six million, six hundred twenty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 65 72 78 80 90 96 104 117 120 130 144 156 160 180 195 208 234 240 260 288 312 360 390 416 468 480 520 585 624 720 780 936 1040 1170 1248 1440 1560 1872 2080 2340 3120 3744 4680 6240 9360 18720 2833687 5667374 8501061 11334748 14168435 17002122 22669496 25503183 28336870 34004244 36837931 42505305 45338992 51006366 56673740 68008488 73675862 85010610 90677984 102012732 110513793 113347480 127515915 136016976 147351724 170021220 184189655 204025464 221027586 226694960 255031830 272033952 294703448 331541379 340042440 368379310 408050928 442055172 453389920 510063660 552568965 589406896 663082758 680084880 736758620 816101856 884110344 1020127320 1105137930 1178813792 1326165516 1360169760 1473517240 1657706895 1768220688 2040254640 2210275860 2652331032 2947034480 3315413790 3536441376 4080509280 4420551720 5304662064 5894068960 6630827580 8841103440 10609324128 13261655160 17682206880 26523310320 53046620640