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128849018880 = 23335
BaseRepresentation
bin111100000000000000…
…0000000000000000000
3110022120201011100100110
41320000000000000000
54102340322101010
6135105321351320
712210666406161
oct1700000000000
9408521140313
10128849018880
114a70aa03a6a
1220b7b338540
13c1c55b400a
146344699768
153541cac120
hex1e00000000

128849018880 has 136 divisors (see below), whose sum is σ = 412316860392. Its totient is φ = 34359738368.

The previous prime is 128849018861. The next prime is 128849018923. The reversal of 128849018880 is 88810948821.

It is a Jordan-Polya number, since it can be written as 5! ⋅ (2!)30.

It is a nialpdrome in base 2.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 128849018880.

It is a congruent number.

It is an unprimeable number.

In principle, a polygon with 128849018880 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25769803774 + ... + 25769803778.

Almost surely, 2128849018880 is an apocalyptic number.

128849018880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128849018880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206158430196).

128849018880 is an abundant number, since it is smaller than the sum of its proper divisors (283467841512).

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

128849018880 is an frugal number, since it uses more digits than its factorization.

128849018880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 57.

The spelling of 128849018880 in words is "one hundred twenty-eight billion, eight hundred forty-nine million, eighteen thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 4096 5120 6144 7680 8192 10240 12288 15360 16384 20480 24576 30720 32768 40960 49152 61440 65536 81920 98304 122880 131072 163840 196608 245760 262144 327680 393216 491520 524288 655360 786432 983040 1048576 1310720 1572864 1966080 2097152 2621440 3145728 3932160 4194304 5242880 6291456 7864320 8388608 10485760 12582912 15728640 16777216 20971520 25165824 31457280 33554432 41943040 50331648 62914560 67108864 83886080 100663296 125829120 134217728 167772160 201326592 251658240 268435456 335544320 402653184 503316480 536870912 671088640 805306368 1006632960 1073741824 1342177280 1610612736 2013265920 2147483648 2684354560 3221225472 4026531840 4294967296 5368709120 6442450944 8053063680 8589934592 10737418240 12884901888 16106127360 21474836480 25769803776 32212254720 42949672960 64424509440 128849018880