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21894813340644 = 223191931607309623
BaseRepresentation
bin1001111101001110010001…
…00100100101001111100100
32212112010100012001102022110
410332213020210211033210
510332211034203400034
6114322201032001020
74416563612461416
oct476471044451744
985463305042273
1021894813340644
116a815a1374892
122557440830170
13c2a897613a6a
14559a00cba9b6
1527e803600de9
hex13e9c89253e4

21894813340644 has 96 divisors (see below), whose sum is σ = 54089182586880. Its totient is φ = 6874024531968.

The previous prime is 21894813340639. The next prime is 21894813340661. The reversal of 21894813340644 is 44604331849812.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70559617 + ... + 70869239.

It is an arithmetic number, because the mean of its divisors is an integer number (563428985280).

Almost surely, 221894813340644 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 21894813340644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27044591293440).

21894813340644 is an abundant number, since it is smaller than the sum of its proper divisors (32194369246236).

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

21894813340644 is a wasteful number, since it uses less digits than its factorization.

21894813340644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311449 (or 311447 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 57.

The spelling of 21894813340644 in words is "twenty-one trillion, eight hundred ninety-four billion, eight hundred thirteen million, three hundred forty thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 193 228 386 579 772 1158 1607 2316 3214 3667 4821 6428 7334 9642 11001 14668 19284 22002 30533 44004 61066 91599 122132 183198 309623 310151 366396 619246 620302 928869 930453 1238492 1240604 1857738 1860906 3715476 3721812 5882837 5892869 11765674 11785738 17648511 17678607 23531348 23571476 35297022 35357214 59757239 70594044 70714428 119514478 179271717 239028956 358543434 497564161 717086868 995128322 1135387541 1492692483 1990256644 2270775082 2985384966 3406162623 4541550164 5970769932 6812325246 9453719059 13624650492 18907438118 28361157177 37814876236 56722314354 96029883073 113444628708 192059766146 288089649219 384119532292 576179298438 1152358596876 1824567778387 3649135556774 5473703335161 7298271113548 10947406670322 21894813340644