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128128848000 = 273532669351
BaseRepresentation
bin111011101010100010…
…0110001000010000000
3110020201112000212121220
41313111010301002000
54044401441114000
6134510033515040
712154103144466
oct1672504610200
9406645025556
10128128848000
114a380437a1a
12209ba112a80
13c10c3317ba
1462b6b90836
1534ed9531a0
hex1dd5131080

128128848000 has 128 divisors (see below), whose sum is σ = 424747290240. Its totient is φ = 34167680000.

The previous prime is 128128847927. The next prime is 128128848007. The reversal of 128128848000 is 848821821.

128128848000 is digitally balanced in base 3, 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 (128).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (128128848007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1286676 + ... + 1382675.

It is an arithmetic number, because the mean of its divisors is an integer number (3318338205).

Almost surely, 2128128848000 is an apocalyptic number.

128128848000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128128848000 is an abundant number, since it is smaller than the sum of its proper divisors (296618442240).

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

128128848000 is an equidigital number, since it uses as much as digits as its factorization.

128128848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2669383 (or 2669361 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 42.

The spelling of 128128848000 in words is "one hundred twenty-eight billion, one hundred twenty-eight million, eight hundred forty-eight thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 480 500 600 640 750 800 960 1000 1200 1500 1600 1920 2000 2400 3000 3200 4000 4800 6000 8000 9600 12000 16000 24000 48000 2669351 5338702 8008053 10677404 13346755 16016106 21354808 26693510 32032212 40040265 42709616 53387020 64064424 66733775 80080530 85419232 106774040 128128848 133467550 160161060 170838464 200201325 213548080 256257696 266935100 320322120 333668875 341676928 400402650 427096160 512515392 533870200 640644240 667337750 800805300 854192320 1001006625 1025030784 1067740400 1281288480 1334675500 1601610600 1708384640 2002013250 2135480800 2562576960 2669351000 3203221200 4004026500 4270961600 5125153920 5338702000 6406442400 8008053000 8541923200 10677404000 12812884800 16016106000 21354808000 25625769600 32032212000 42709616000 64064424000 128128848000