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216380616441 = 311471011381291
BaseRepresentation
bin1100100110000101001…
…0100010111011111001
3202200111221022012220020
43021201102202323321
512021121414211231
6243223123321053
721430053615153
oct3114122427371
9680457265806
10216380616441
1183848242840
1235b29520189
1317534bbb022
14a68980dad3
1559665a0396
hex32614a2ef9

216380616441 has 32 divisors (see below), whose sum is σ = 324614670336. Its totient is φ = 127078680000.

The previous prime is 216380616427. The next prime is 216380616467. The reversal of 216380616441 is 144616083612.

216380616441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 216380616441 - 217 = 216380485369 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 216380616393 and 216380616402.

It is not an unprimeable number, because it can be changed into a prime (216380616421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 533995 + ... + 847296.

It is an arithmetic number, because the mean of its divisors is an integer number (10144208448).

Almost surely, 2216380616441 is an apocalyptic number.

It is an amenable number.

216380616441 is a deficient number, since it is larger than the sum of its proper divisors (108234053895).

216380616441 is a wasteful number, since it uses less digits than its factorization.

216380616441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381453.

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 216380616441 in words is "two hundred sixteen billion, three hundred eighty million, six hundred sixteen thousand, four hundred forty-one".

Divisors: 1 3 11 33 47 101 141 303 517 1111 1551 3333 4747 14241 52217 156651 1381291 4143873 15194201 45582603 64920677 139510391 194762031 418531173 714127447 1534614301 2142382341 4603842903 6556988377 19670965131 72126872147 216380616441