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16945219845 = 355314110973
BaseRepresentation
bin11111100100000001…
…11000100100000101
31121201221102100200000
433302000320210011
5234200434013340
611441242511513
71136626664211
oct176200704405
947657370600
1016945219845
117206153524
12334ab05599
1317a0853308
14b6a6dd941
156929a5d30
hex3f2038905

16945219845 has 96 divisors (see below), whose sum is σ = 32211938304. Its totient is φ = 8531827200.

The previous prime is 16945219817. The next prime is 16945219873. The reversal of 16945219845 is 54891254961.

16945219845 is a `hidden beast` number, since 1 + 69 + 452 + 1 + 98 + 45 = 666.

It is an interprime number because it is at equal distance from previous prime (16945219817) and next prime (16945219873).

It is not a de Polignac number, because 16945219845 - 213 = 16945211653 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 16945219791 and 16945219800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1538779 + ... + 1549751.

It is an arithmetic number, because the mean of its divisors is an integer number (335541024).

Almost surely, 216945219845 is an apocalyptic number.

16945219845 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

16945219845 is a deficient number, since it is larger than the sum of its proper divisors (15266718459).

16945219845 is a wasteful number, since it uses less digits than its factorization.

16945219845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11065 (or 11053 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 54.

The spelling of 16945219845 in words is "sixteen billion, nine hundred forty-five million, two hundred nineteen thousand, eight hundred forty-five".

Divisors: 1 3 5 9 15 27 31 41 45 81 93 123 135 155 205 243 279 369 405 465 615 837 1107 1215 1271 1395 1845 2511 3321 3813 4185 5535 6355 7533 9963 10973 11439 12555 16605 19065 32919 34317 37665 49815 54865 57195 98757 102951 164595 171585 296271 308853 340163 449893 493785 514755 888813 1020489 1349679 1481355 1544265 1700815 2249465 2666439 3061467 4049037 4444065 5102445 6748395 9184401 12147111 13332195 13946683 15307335 20245185 27553203 36441333 41840049 45922005 60735555 69733415 82659609 109323999 125520147 137766015 182206665 209200245 376560441 413298045 546619995 627600735 1129681323 1882802205 3389043969 5648406615 16945219845