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2120105553444 = 2232317326023783
BaseRepresentation
bin11110110110100000001…
…000110110111000100100
321111200100210122010120100
4132312200020312320210
5234213434010202234
64301544003504100
7306113122602324
oct36664010667044
97450323563510
102120105553444
1174814a34a85a
122a2a83088030
13124c04587ba8
1474883c31284
153a237383399
hex1eda0236e24

2120105553444 has 72 divisors (see below), whose sum is σ = 5607813166592. Its totient is φ = 674536429440.

The previous prime is 2120105553359. The next prime is 2120105553463. The reversal of 2120105553444 is 4443555010212.

2120105553444 is a `hidden beast` number, since 2 + 1 + 20 + 10 + 55 + 534 + 44 = 666.

It is a super-2 number, since 2×21201055534442 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2120105553399 and 2120105553408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12930424 + ... + 13093359.

Almost surely, 22120105553444 is an apocalyptic number.

It is an amenable number.

2120105553444 is an abundant number, since it is smaller than the sum of its proper divisors (3487707613148).

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

2120105553444 is a wasteful number, since it uses less digits than its factorization.

2120105553444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26023897 (or 26023892 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 2120105553444 in words is "two trillion, one hundred twenty billion, one hundred five million, five hundred fifty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 73 93 124 146 186 219 279 292 372 438 558 657 876 1116 1314 2263 2628 4526 6789 9052 13578 20367 27156 40734 81468 26023783 52047566 78071349 104095132 156142698 234214047 312285396 468428094 806737273 936856188 1613474546 1899736159 2420211819 3226949092 3799472318 4840423638 5699208477 7260635457 7598944636 9680847276 11398416954 14521270914 17097625431 22796833908 29042541828 34195250862 58891820929 68390501724 117783641858 176675462787 235567283716 353350925574 530026388361 706701851148 1060052776722 2120105553444