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21869270973 = 3311414394091
BaseRepresentation
bin10100010111100000…
…101001011110111101
32002110002220001222000
4110113200221132331
5324242013132343
614014022212513
71402640510334
oct242740513675
962402801860
1021869270973
1193026a6a70
1242a3b84139
1320a6a3c734
1410b6670d1b
1587ee08ed3
hex5178297bd

21869270973 has 64 divisors (see below), whose sum is σ = 36297676800. Its totient is φ = 12898224000.

The previous prime is 21869270963. The next prime is 21869270993. The reversal of 21869270973 is 37907296812.

It is not a de Polignac number, because 21869270973 - 29 = 21869270461 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21869270933) 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 63 ways as a sum of consecutive naturals, for example, 5343658 + ... + 5347748.

It is an arithmetic number, because the mean of its divisors is an integer number (567151200).

Almost surely, 221869270973 is an apocalyptic number.

It is an amenable number.

21869270973 is a deficient number, since it is larger than the sum of its proper divisors (14428405827).

21869270973 is a wasteful number, since it uses less digits than its factorization.

21869270973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4591 (or 4585 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 21869270973 in words is "twenty-one billion, eight hundred sixty-nine million, two hundred seventy thousand, nine hundred seventy-three".

Divisors: 1 3 9 11 27 33 41 99 123 297 369 439 451 1107 1317 1353 3951 4059 4091 4829 11853 12177 12273 14487 17999 36819 43461 45001 53997 110457 130383 135003 161991 167731 197989 405009 485973 503193 593967 1215027 1509579 1781901 1795949 1845041 4528737 5345703 5387847 5535123 16163541 16605369 19755439 48490623 49816107 59266317 73633909 177798951 220901727 533396853 662705181 809972999 1988115543 2429918997 7289756991 21869270973