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216452102516 = 221329211343801
BaseRepresentation
bin1100100110010110001…
…1001111100101110100
3202200200220211002100122
43021211203033211310
512021243214240031
6243234155431112
721431612341316
oct3114543174564
9680626732318
10216452102516
1183884629341
1235b49455498
131754695a090
14a6950db7b6
15596c9c147b
hex32658cf974

216452102516 has 72 divisors (see below), whose sum is σ = 426229027224. Its totient is φ = 95600332800.

The previous prime is 216452102491. The next prime is 216452102519. The reversal of 216452102516 is 615201254612.

It can be written as a sum of positive squares in 12 ways, for example, as 126169881616 + 90282220900 = 355204^2 + 300470^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216452102519) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4919816 + ... + 4963616.

Almost surely, 2216452102516 is an apocalyptic number.

216452102516 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

216452102516 is a deficient number, since it is larger than the sum of its proper divisors (209776924708).

216452102516 is a wasteful number, since it uses less digits than its factorization.

216452102516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43989 (or 43958 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The spelling of 216452102516 in words is "two hundred sixteen billion, four hundred fifty-two million, one hundred two thousand, five hundred sixteen".

Divisors: 1 2 4 13 26 29 52 58 113 116 226 377 452 754 841 1469 1508 1682 2938 3277 3364 5876 6554 10933 13108 21866 42601 43732 43801 85202 87602 95033 170404 175204 190066 380132 569413 1138826 1235429 1270229 2277652 2470858 2540458 4941716 4949513 5080916 9899026 16512977 19798052 33025954 36836641 64343669 66051908 73673282 128687338 143535877 147346564 257374676 287071754 478876333 574143508 957752666 1865966401 1915505332 3731932802 4162540433 7463865604 8325080866 16650161732 54113025629 108226051258 216452102516