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21327272477316 = 2232132592072
BaseRepresentation
bin1001101100101101001001…
…00000000000001010000100
32210111212102021210100112100
410312112210200000022010
510243411223223233231
6113205340321352100
74330562456646051
oct466264440001204
983455367710470
1021327272477316
116882933349083
122485450498630
13bb91cb671300
1453a3618d6028
1526eb882151e6
hex1365a4800284

21327272477316 has 81 divisors (see below), whose sum is σ = 58377558733221. Its totient is φ = 6562126849824.

The previous prime is 21327272477257. The next prime is 21327272477333. The reversal of 21327272477316 is 61377427272312.

The square root of 21327272477316 is 4618146.

It is a perfect power (a square), and thus also a powerful number.

21327272477316 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 72 + 72 + 477 + 31 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3154921964100 + 18172350513216 = 1776210^2 + 4262904^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 360185785 + ... + 360244991.

Almost surely, 221327272477316 is an apocalyptic number.

21327272477316 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

21327272477316 is the 4618146-th square number.

It is an amenable number.

21327272477316 is an abundant number, since it is smaller than the sum of its proper divisors (37050286255905).

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

21327272477316 is an frugal number, since it uses more digits than its factorization.

21327272477316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118450 (or 59225 counting only the distinct ones).

The product of its digits is 8297856, while the sum is 54.

The spelling of 21327272477316 in words is "twenty-one trillion, three hundred twenty-seven billion, two hundred seventy-two million, four hundred seventy-seven thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 3042 6084 59207 118414 177621 236828 355242 532863 710484 769691 1065726 1539382 2131452 2309073 3078764 4618146 6927219 9236292 10005983 13854438 20011966 27708876 30017949 40023932 60035898 90053847 120071796 180107694 360215388 3505468849 7010937698 10516406547 14021875396 21032813094 31549219641 42065626188 45571095037 63098439282 91142190074 126196878564 136713285111 182284380148 273426570222 410139855333 546853140444 592424235481 820279710666 1184848470962 1640559421332 1777272706443 2369696941924 3554545412886 5331818119329 7109090825772 10663636238658 21327272477316