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28983874311 = 32721719283719
BaseRepresentation
bin11010111111100100…
…101101001100000111
32202210221021100222100
4122333210231030013
5433324332434221
621152013003143
72044150603200
oct327744551407
982727240870
1028983874311
1111323706837
12574a7834b3
13296ba000b2
14158d5005a7
15b4980e926
hex6bf92d307

28983874311 has 144 divisors (see below), whose sum is σ = 54547084800. Its totient is φ = 14694898176.

The previous prime is 28983874307. The next prime is 28983874333. The reversal of 28983874311 is 11347838982.

It is a happy number.

It is not a de Polignac number, because 28983874311 - 22 = 28983874307 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28983874391) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 40311010 + ... + 40311728.

It is an arithmetic number, because the mean of its divisors is an integer number (378799200).

Almost surely, 228983874311 is an apocalyptic number.

28983874311 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

28983874311 is a deficient number, since it is larger than the sum of its proper divisors (25563210489).

28983874311 is a wasteful number, since it uses less digits than its factorization.

28983874311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1048 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The spelling of 28983874311 in words is "twenty-eight billion, nine hundred eighty-three million, eight hundred seventy-four thousand, three hundred eleven".

Divisors: 1 3 7 9 17 19 21 49 51 57 63 119 133 147 153 171 283 323 357 399 441 719 833 849 931 969 1071 1197 1981 2157 2261 2499 2547 2793 2907 4811 5033 5377 5943 6471 6783 7497 8379 12223 13661 13867 14433 15099 15827 16131 17829 20349 33677 35231 36669 37639 40983 41601 43299 45297 47481 48393 85561 91409 95627 101031 105693 110007 112917 122949 124803 142443 203477 232237 235739 256683 263473 274227 286881 303093 317079 338751 598927 610431 639863 669389 696711 707217 770049 790419 822681 860643 1424339 1625659 1796781 1831293 1919589 2008167 2090133 2121651 2371257 3459109 3866063 4273017 4479041 4876977 5390343 5758767 6024501 9970373 10377327 11379613 11598189 12819051 13437123 14630931 24213763 27062441 29911119 31131981 34138839 34794567 40311369 65723071 72641289 81187323 89733357 102416517 169496341 189437087 197169213 217923867 243561969 460061497 508489023 568311261 591507639 1380184491 1525467069 1704933783 3220430479 4140553473 9661291437 28983874311