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21272486664 = 233111337167521
BaseRepresentation
bin10011110011111100…
…000110001100001000
32000220111221021210110
4103303330012030020
5322031224033124
613434503114320
71352103103362
oct236374061410
960814837713
1021272486664
1190268450a0
1241581429a0
1320101cb720
14105b2c3d32
15847824029
hex4f3f06308

21272486664 has 128 divisors (see below), whose sum is σ = 64167626880. Its totient is φ = 5789491200.

The previous prime is 21272486647. The next prime is 21272486681. The reversal of 21272486664 is 46668427212.

It is an interprime number because it is at equal distance from previous prime (21272486647) and next prime (21272486681).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43224 + ... + 210744.

It is an arithmetic number, because the mean of its divisors is an integer number (501309585).

Almost surely, 221272486664 is an apocalyptic number.

21272486664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21272486664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32083813440).

21272486664 is an abundant number, since it is smaller than the sum of its proper divisors (42895140216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21272486664 is a wasteful number, since it uses less digits than its factorization.

21272486664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167591 (or 167587 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 48.

The spelling of 21272486664 in words is "twenty-one billion, two hundred seventy-two million, four hundred eighty-six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 37 39 44 52 66 74 78 88 104 111 132 143 148 156 222 264 286 296 312 407 429 444 481 572 814 858 888 962 1144 1221 1443 1628 1716 1924 2442 2886 3256 3432 3848 4884 5291 5772 9768 10582 11544 15873 21164 31746 42328 63492 126984 167521 335042 502563 670084 1005126 1340168 1842731 2010252 2177773 3685462 4020504 4355546 5528193 6198277 6533319 7370924 8711092 11056386 12396554 13066638 14741848 17422184 18594831 22112772 23955503 24793108 26133276 37189662 44225544 47911006 49586216 52266552 68181047 71866509 74379324 80577601 95822012 136362094 143733018 148758648 161155202 191644024 204543141 241732803 272724188 287466036 322310404 409086282 483465606 545448376 574932072 644620808 818172564 886353611 966931212 1636345128 1772707222 1933862424 2659060833 3545414444 5318121666 7090828888 10636243332 21272486664