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21616231221416 = 23133153126505403
BaseRepresentation
bin1001110101000111010111…
…10010001000100010101000
32211112111021022122110120202
410322203223302020202220
510313130020143041131
6113550205354211332
74360502234520116
oct472435362104250
984474238573522
1021616231221416
116984434a993a7
122511454123b48
13c0a52bb5c1b0
1454a3344a8ab6
1527744b3d5bcb
hex13a8ebc888a8

21616231221416 has 64 divisors (see below), whose sum is σ = 45906281003520. Its totient is φ = 9472724501760.

The previous prime is 21616231221407. The next prime is 21616231221421. The reversal of 21616231221416 is 61412213261612.

It is a super-2 number, since 2×216162312214162 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21616231221416.

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, 63081830 + ... + 63423573.

It is an arithmetic number, because the mean of its divisors is an integer number (717285640680).

Almost surely, 221616231221416 is an apocalyptic number.

21616231221416 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

21616231221416 is an abundant number, since it is smaller than the sum of its proper divisors (24290049782104).

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

21616231221416 is a wasteful number, since it uses less digits than its factorization.

21616231221416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126505506 (or 126505502 counting only the distinct ones).

The product of its digits is 41472, while the sum is 38.

The spelling of 21616231221416 in words is "twenty-one trillion, six hundred sixteen billion, two hundred thirty-one million, two hundred twenty-one thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 26 31 52 53 62 104 106 124 212 248 403 424 689 806 1378 1612 1643 2756 3224 3286 5512 6572 13144 21359 42718 85436 170872 126505403 253010806 506021612 1012043224 1644570239 3289140478 3921667493 6578280956 6704786359 7843334986 13156561912 13409572718 15686669972 26819145436 31373339944 50981677409 53638290872 87162222667 101963354818 174324445334 203926709636 207848377129 348648890668 407853419272 415696754258 697297781336 831393508516 1662787017032 2702028902677 5404057805354 10808115610708 21616231221416