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21198378755872 = 2541337367130639
BaseRepresentation
bin1001101000111101000011…
…10101011110011100100000
32210001112201110111212210101
410310132201311132130200
510234303234430141442
6113030222321512144
74315350405254443
oct464364165363440
983045643455711
1021198378755872
11683320019244a
12246447a1a2654
13ba9cc9a38196
1453401532165a
1526b642577cb7
hex1347a1d5e720

21198378755872 has 96 divisors (see below), whose sum is σ = 42996245160960. Its totient is φ = 10281816760320.

The previous prime is 21198378755843. The next prime is 21198378755923. The reversal of 21198378755872 is 27855787389112.

It is a junction number, because it is equal to n+sod(n) for n = 21198378755795 and 21198378755804.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162201529 + ... + 162332167.

It is an arithmetic number, because the mean of its divisors is an integer number (447877553760).

Almost surely, 221198378755872 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 21198378755872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21498122580480).

21198378755872 is an abundant number, since it is smaller than the sum of its proper divisors (21797866405088).

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

21198378755872 is a wasteful number, since it uses less digits than its factorization.

21198378755872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131394 (or 131386 counting only the distinct ones).

The product of its digits is 474163200, while the sum is 73.

The spelling of 21198378755872 in words is "twenty-one trillion, one hundred ninety-eight billion, three hundred seventy-eight million, seven hundred fifty-five thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 32 41 82 164 328 337 367 656 674 734 1312 1348 1468 2696 2936 5392 5872 10784 11744 13817 15047 27634 30094 55268 60188 110536 120376 123679 130639 221072 240752 247358 261278 442144 481504 494716 522556 989432 1045112 1978864 2090224 3957728 4180448 5070839 5356199 10141678 10712398 20283356 21424796 40566712 42849592 44025343 47944513 81133424 85699184 88050686 95889026 162266848 171398368 176101372 191778052 352202744 383556104 704405488 767112208 1408810976 1534224416 1805039063 1965725033 3610078126 3931450066 7220156252 7862900132 14440312504 15725800264 16157300881 28880625008 31451600528 32314601762 57761250016 62903201056 64629203524 129258407048 258516814096 517033628192 662449336121 1324898672242 2649797344484 5299594688968 10599189377936 21198378755872