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65748913920 = 283351902457
BaseRepresentation
bin111101001110111100…
…001100111100000000
320021201011011220002000
4331032330030330000
52034123210221140
650112111224000
74515214355454
oct751674147400
9207634156060
1065748913920
112597a603198
12108ab218000
13627a7c30c1
14327a1c2664
151a9c2dea30
hexf4ef0cf00

65748913920 has 144 divisors (see below), whose sum is σ = 233317449120. Its totient is φ = 17533034496.

The previous prime is 65748913861. The next prime is 65748913933. The reversal of 65748913920 is 2931984756.

65748913920 is a `hidden beast` number, since 6 + 5 + 7 + 489 + 139 + 20 = 666.

65748913920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 916669 + ... + 985788.

It is a 1-persistent number, because it is pandigital, but 2⋅65748913920 = 131497827840 is not.

Almost surely, 265748913920 is an apocalyptic number.

65748913920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

65748913920 is an abundant number, since it is smaller than the sum of its proper divisors (167568535200).

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

65748913920 is a wasteful number, since it uses less digits than its factorization.

65748913920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1902487 (or 1902467 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 65748913920 in words is "sixty-five billion, seven hundred forty-eight million, nine hundred thirteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 540 576 640 720 768 864 960 1080 1152 1280 1440 1728 1920 2160 2304 2880 3456 3840 4320 5760 6912 8640 11520 17280 34560 1902457 3804914 5707371 7609828 9512285 11414742 15219656 17122113 19024570 22829484 28536855 30439312 34244226 38049140 45658968 51366339 57073710 60878624 68488452 76098280 85610565 91317936 102732678 114147420 121757248 136976904 152196560 171221130 182635872 205465356 228294840 243514496 256831695 273953808 304393120 342442260 365271744 410930712 456589680 487028992 513663390 547907616 608786240 684884520 730543488 821861424 913179360 1027326780 1095815232 1217572480 1369769040 1461086976 1643722848 1826358720 2054653560 2191630464 2435144960 2739538080 3287445696 3652717440 4109307120 4383260928 5479076160 6574891392 7305434880 8218614240 10958152320 13149782784 16437228480 21916304640 32874456960 65748913920