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2105544052032 = 263312837124693
BaseRepresentation
bin11110101000111100001…
…101001000110101000000
321110021202222121012212020
4132220330031020311000
5233444123234131112
64251135032201440
7305056226100411
oct36507415106500
97407688535766
102105544052032
11741a577a9273
122a009a539280
1312372383c775
1473ca1d53808
1539b83cd948c
hex1ea3c348d40

2105544052032 has 112 divisors (see below), whose sum is σ = 5752698834432. Its totient is φ = 678962903040.

The previous prime is 2105544051997. The next prime is 2105544052033. The reversal of 2105544052032 is 2302504455012.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2105544051984 and 2105544052002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2105544052033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16823478 + ... + 16948170.

Almost surely, 22105544052032 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 2105544052032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2876349417216).

2105544052032 is an abundant number, since it is smaller than the sum of its proper divisors (3647154782400).

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

2105544052032 is a wasteful number, since it uses less digits than its factorization.

2105544052032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127576 (or 127566 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

The spelling of 2105544052032 in words is "two trillion, one hundred five billion, five hundred forty-four million, fifty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 992 1488 1984 2837 2976 5674 5952 8511 11348 17022 22696 34044 45392 68088 87947 90784 124693 136176 175894 181568 249386 263841 272352 351788 374079 498772 527682 544704 703576 748158 997544 1055364 1407152 1496316 1995088 2110728 2814304 2992632 3865483 3990176 4221456 5628608 5985264 7730966 7980352 8442912 11596449 11970528 15461932 16885824 23192898 23941056 30923864 46385796 61847728 92771592 123695456 185543184 247390912 353754041 371086368 707508082 742172736 1061262123 1415016164 2122524246 2830032328 4245048492 5660064656 8490096984 10966375271 11320129312 16980193968 21932750542 22640258624 32899125813 33960387936 43865501084 65798251626 67920775872 87731002168 131596503252 175462004336 263193006504 350924008672 526386013008 701848017344 1052772026016 2105544052032