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20224246839648 = 2531984913130579
BaseRepresentation
bin1001001100100110100110…
…00011000111100101100000
32122121102022112110021012020
410212103103003013211200
510122323224142332043
6111002520222101440
74155103455506325
oct446232303074540
978542275407166
1020224246839648
116498067106795
12232771741a880
13b391a4aa62b7
144dcc04670b4c
1525112bd08e83
hex1264d30c7960

20224246839648 has 96 divisors (see below), whose sum is σ = 55883873404800. Its totient is φ = 6386480142336.

The previous prime is 20224246839569. The next prime is 20224246839659. The reversal of 20224246839648 is 84693864242202.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 20224246839591 and 20224246839600.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 154816023 + ... + 154946601.

It is an arithmetic number, because the mean of its divisors is an integer number (582123681300).

Almost surely, 220224246839648 is an apocalyptic number.

It is an amenable number.

20224246839648 is an abundant number, since it is smaller than the sum of its proper divisors (35659626565152).

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

20224246839648 is a wasteful number, since it uses less digits than its factorization.

20224246839648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215524 (or 215516 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 60.

The spelling of 20224246839648 in words is "twenty trillion, two hundred twenty-four billion, two hundred forty-six million, eight hundred thirty-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 84913 130579 169826 254739 261158 339652 391737 509478 522316 679304 783474 1018956 1044632 1358608 1566948 1613347 2037912 2089264 2481001 2717216 3133896 3226694 4075824 4178528 4840041 4962002 6267792 6453388 7443003 8151648 9680082 9924004 12535584 12906776 14886006 19360164 19848008 25813552 29772012 38720328 39696016 51627104 59544024 77440656 79392032 119088048 154881312 238176096 11087854627 22175709254 33263563881 44351418508 66527127762 88702837016 133054255524 177405674032 210669237913 266108511048 354811348064 421338475826 532217022096 632007713739 842676951652 1064434044192 1264015427478 1685353903304 2528030854956 3370707806608 5056061709912 6741415613216 10112123419824 20224246839648