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21364767054126 = 23237532272666381
BaseRepresentation
bin1001101101110010111110…
…10110011101100100101110
32210122110012100110012112100
410312321133112131210232
510300020020331213001
6113234501040315530
74333360562413056
oct466713726354456
983573170405470
1021364767054126
116897824029641
122490775312ba6
13bbc8c5645b32
1453c0bb440566
15270b2ec9e586
hex136e5f59d92e

21364767054126 has 96 divisors (see below), whose sum is σ = 48651829862688. Its totient is φ = 6768424316160.

The previous prime is 21364767054107. The next prime is 21364767054143. The reversal of 21364767054126 is 62145076746312.

21364767054126 is a `hidden beast` number, since 2 + 1 + 3 + 6 + 4 + 7 + 6 + 70 + 541 + 26 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6679456 + ... + 9345836.

It is an arithmetic number, because the mean of its divisors is an integer number (506789894403).

Almost surely, 221364767054126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21364767054126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24325914931344).

21364767054126 is an abundant number, since it is smaller than the sum of its proper divisors (27287062808562).

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

21364767054126 is a wasteful number, since it uses less digits than its factorization.

21364767054126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2666706 (or 2666703 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 21364767054126 in words is "twenty-one trillion, three hundred sixty-four billion, seven hundred sixty-seven million, fifty-four thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 37 53 74 106 111 159 222 227 318 333 454 477 666 681 954 1362 1961 2043 3922 4086 5883 8399 11766 12031 16798 17649 24062 25197 35298 36093 50394 72186 75591 108279 151182 216558 445147 890294 1335441 2666381 2670882 4006323 5332762 7999143 8012646 15998286 23997429 47994858 98656097 141318193 197312194 282636386 295968291 423954579 591936582 605268487 847909158 887904873 1210536974 1271863737 1775809746 1815805461 2543727474 3631610922 5228773141 5447416383 10457546282 10894832766 15686319423 22394934019 31372638846 32079229811 44789868038 47058958269 64158459622 67184802057 94117916538 96237689433 134369604114 192475378866 201554406171 288713068299 403108812342 577426136598 1186931503007 2373863006014 3560794509021 7121589018042 10682383527063 21364767054126