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21437133173412 = 223116071361196583
BaseRepresentation
bin1001101111111001110001…
…01101010011001010100100
32210220100222200001221212120
410313330320231103022210
510302211222043022122
6113332025533345540
74341532100315505
oct467747055231244
983810880057776
1021437133173412
1169154898a20a0
1224a27b06382b0
13bc6689045968
145417c43b6bac
15272967e9275c
hex137f38b532a4

21437133173412 has 96 divisors (see below), whose sum is σ = 54697582485504. Its totient is φ = 6480600844800.

The previous prime is 21437133173389. The next prime is 21437133173413.

21437133173412 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (21437133173413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108950473 + ... + 109147055.

It is an arithmetic number, because the mean of its divisors is an integer number (569766484224).

Almost surely, 221437133173412 is an apocalyptic number.

21437133173412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21437133173412 is an abundant number, since it is smaller than the sum of its proper divisors (33260449312092).

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

21437133173412 is a wasteful number, since it uses less digits than its factorization.

21437133173412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198569 (or 198567 counting only the distinct ones).

The product of its digits is 254016, while the sum is 42.

The spelling of 21437133173412 in words is "twenty-one trillion, four hundred thirty-seven billion, one hundred thirty-three million, one hundred seventy-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 607 1214 1361 1821 2428 2722 3642 4083 5444 6677 7284 8166 13354 14971 16332 20031 26708 29942 40062 44913 59884 80124 89826 179652 196583 393166 589749 786332 826127 1179498 1652254 2162413 2358996 2478381 3304508 4324826 4956762 6487239 8649652 9087397 9913524 12974478 18174794 25948956 27262191 36349588 54524382 109048764 119325881 238651762 267549463 357977643 477303524 535098926 715955286 802648389 1070197852 1312584691 1431910572 1605296778 2625169382 2943044093 3210593556 3937754073 5250338764 5886088186 7875508146 8829132279 11772176372 15751016292 17658264558 35316529116 162402524041 324805048082 487207572123 649610096164 974415144246 1786427764451 1948830288492 3572855528902 5359283293353 7145711057804 10718566586706 21437133173412