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128920932480 = 2735211318229
BaseRepresentation
bin111100000010001001…
…0010101000010000000
3110022202201110221021010
41320010102111002000
54103012224314410
6135120411000520
712212531562624
oct1700422250200
9408681427233
10128920932480
114a74756179a
1220b9b439140
13c207472842
146350059184
153548264c20
hex1e04495080

128920932480 has 128 divisors (see below), whose sum is σ = 412884331200. Its totient is φ = 34215874560.

The previous prime is 128920932479. The next prime is 128920932487. The reversal of 128920932480 is 84239029821.

128920932480 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 Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (128920932487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246006 + ... + 564234.

Almost surely, 2128920932480 is an apocalyptic number.

128920932480 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 128920932480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206442165600).

128920932480 is an abundant number, since it is smaller than the sum of its proper divisors (283963398720).

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

128920932480 is a wasteful number, since it uses less digits than its factorization.

128920932480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318462 (or 318450 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 128920932480 in words is "one hundred twenty-eight billion, nine hundred twenty million, nine hundred thirty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 211 240 320 384 422 480 633 640 844 960 1055 1266 1688 1920 2110 2532 3165 3376 4220 5064 6330 6752 8440 10128 12660 13504 16880 20256 25320 27008 33760 40512 50640 67520 81024 101280 135040 202560 318229 405120 636458 954687 1272916 1591145 1909374 2545832 3182290 3818748 4773435 5091664 6364580 7637496 9546870 10183328 12729160 15274992 19093740 20366656 25458320 30549984 38187480 40733312 50916640 61099968 67146319 76374960 101833280 122199936 134292638 152749920 201438957 203666560 268585276 305499840 335731595 402877914 537170552 610999680 671463190 805755828 1007194785 1074341104 1342926380 1611511656 2014389570 2148682208 2685852760 3223023312 4028779140 4297364416 5371705520 6446046624 8057558280 8594728832 10743411040 12892093248 16115116560 21486822080 25784186496 32230233120 42973644160 64460466240 128920932480