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120989706048 = 2633128954319
BaseRepresentation
bin111000010101110001…
…1000110011101000000
3102120021222110212222000
41300223203012131000
53440241331043143
6131325405144000
711512144350531
oct1605343063500
9376258425860
10120989706048
1147347597a02
121b54725b000
13b54225bc53
145bda974688
153231d01bd3
hex1c2b8c6740

120989706048 has 112 divisors (see below), whose sum is σ = 355969824000. Its totient is φ = 40297872384.

The previous prime is 120989706017. The next prime is 120989706053. The reversal of 120989706048 is 840607989021.

120989706048 is a `hidden beast` number, since 1 + 20 + 9 + 8 + 9 + 7 + 0 + 604 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 120989705985 and 120989706003.

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, 2200233 + ... + 2254551.

It is an arithmetic number, because the mean of its divisors is an integer number (3178302000).

Almost surely, 2120989706048 is an apocalyptic number.

120989706048 is a gapful number since it is divisible by the number (18) 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 120989706048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177984912000).

120989706048 is an abundant number, since it is smaller than the sum of its proper divisors (234980117952).

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

120989706048 is a wasteful number, since it uses less digits than its factorization.

120989706048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55629 (or 55613 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 120989706048 in words is "one hundred twenty billion, nine hundred eighty-nine million, seven hundred six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1289 1728 2578 3867 5156 7734 10312 11601 15468 20624 23202 30936 34803 41248 46404 54319 61872 69606 82496 92808 108638 123744 139212 162957 185616 217276 247488 278424 325914 371232 434552 488871 556848 651828 742464 869104 977742 1113696 1303656 1466613 1738208 1955484 2227392 2607312 2933226 3476416 3910968 5214624 5866452 7821936 10429248 11732904 15643872 23465808 31287744 46931616 70017191 93863232 140034382 210051573 280068764 420103146 560137528 630154719 840206292 1120275056 1260309438 1680412584 1890464157 2240550112 2520618876 3360825168 3780928314 4481100224 5041237752 6721650336 7561856628 10082475504 13443300672 15123713256 20164951008 30247426512 40329902016 60494853024 120989706048