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5456643840 = 28335157889
BaseRepresentation
bin1010001010011110…
…11100011100000000
3112002021122020011000
411011033130130000
542133400100330
62301242452000
7252135464424
oct50517343400
915067566130
105456643840
11235015130a
121083504000
1368c64364b
1439a9acb84
1521e0a8560
hex1453dc700

5456643840 has 144 divisors (see below), whose sum is σ = 19363629600. Its totient is φ = 1455095808.

The previous prime is 5456643769. The next prime is 5456643853. The reversal of 5456643840 is 483466545.

5456643840 is a `hidden beast` number, since 5 + 4 + 566 + 4 + 3 + 84 + 0 = 666.

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 (45).

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, 44385 + ... + 113504.

It is an arithmetic number, because the mean of its divisors is an integer number (134469650).

Almost surely, 25456643840 is an apocalyptic number.

It is an amenable number.

5456643840 is an abundant number, since it is smaller than the sum of its proper divisors (13906985760).

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

5456643840 is a wasteful number, since it uses less digits than its factorization.

5456643840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157919 (or 157899 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The square root of 5456643840 is about 73869.0993582567. The cubic root of 5456643840 is about 1760.5236733710.

The spelling of 5456643840 in words is "five billion, four hundred fifty-six million, six hundred forty-three thousand, eight hundred forty".

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 157889 315778 473667 631556 789445 947334 1263112 1421001 1578890 1894668 2368335 2526224 2842002 3157780 3789336 4263003 4736670 5052448 5684004 6315560 7105005 7578672 8526006 9473340 10104896 11368008 12631120 14210010 15157344 17052012 18946680 20209792 21315015 22736016 25262240 28420020 30314688 34104024 37893360 40419584 42630030 45472032 50524480 56840040 60629376 68208048 75786720 85260060 90944064 101048960 113680080 121258752 136416096 151573440 170520120 181888128 202097920 227360160 272832192 303146880 341040240 363776256 454720320 545664384 606293760 682080480 909440640 1091328768 1364160960 1818881280 2728321920 5456643840