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2120246413456 = 24239759819931
BaseRepresentation
bin11110110110101000100…
…010001100100010010000
321111200201121200120011211
4132312220202030202100
5234214231040212311
64302005554545504
7306116453104033
oct36665042144220
97450647616154
102120246413456
11748211909a96
122a2b02298294
13124c27806802
147489881b01a
153a244909821
hex1eda888c890

2120246413456 has 80 divisors (see below), whose sum is σ = 4331936988288. Its totient is φ = 1003308134400.

The previous prime is 2120246413393. The next prime is 2120246413489. The reversal of 2120246413456 is 6543146420212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213492811 + ... + 213502741.

Almost surely, 22120246413456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120246413456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2165968494144).

2120246413456 is an abundant number, since it is smaller than the sum of its proper divisors (2211690574832).

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

2120246413456 is a wasteful number, since it uses less digits than its factorization.

2120246413456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16040 (or 16034 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The spelling of 2120246413456 in words is "two trillion, one hundred twenty billion, two hundred forty-six million, four hundred thirteen thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 23 46 92 97 184 194 368 388 776 1552 2231 4462 5981 8924 9931 11962 17848 19862 23924 35696 39724 47848 79448 95696 137563 158896 228413 275126 456826 550252 580157 913652 963307 1100504 1160314 1827304 1926614 2201008 2320628 3654608 3853228 4641256 7706456 9282512 13343611 15412912 22156061 26687222 44312122 53374444 59397311 88624244 106748888 118794622 177248488 213497776 237589244 354496976 475178488 950356976 1366138153 2732276306 5464552612 5761539167 10929105224 11523078334 21858210448 23046156668 46092313336 92184626672 132515400841 265030801682 530061603364 1060123206728 2120246413456