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21357016603664 = 24719373137319597
BaseRepresentation
bin1001101101100100100010…
…11000110101110000010000
32210121201012012121112020112
410312302101120311300100
510244403132222304124
6113231140013300452
74332664531600430
oct466622130656020
983551165545215
1021357016603664
116894507107485
12248b171794728
13bbbc5ba18381
1453b983d762c0
1527082964990e
hex136c91635c10

21357016603664 has 160 divisors (see below), whose sum is σ = 49951871566080. Its totient is φ = 8641282922496.

The previous prime is 21357016603639. The next prime is 21357016603709. The reversal of 21357016603664 is 46630661075312.

It is a super-2 number, since 2×213570166036642 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1089800714 + ... + 1089820310.

It is an arithmetic number, because the mean of its divisors is an integer number (312199197288).

Almost surely, 221357016603664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21357016603664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24975935783040).

21357016603664 is an abundant number, since it is smaller than the sum of its proper divisors (28594854962416).

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

21357016603664 is a wasteful number, since it uses less digits than its factorization.

21357016603664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21377 (or 21371 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 50.

Adding to 21357016603664 its reverse (46630661075312), we get a palindrome (67987677678976).

The spelling of 21357016603664 in words is "twenty-one trillion, three hundred fifty-seven billion, sixteen million, six hundred three thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 373 532 746 1064 1373 1492 2128 2611 2746 2984 5222 5492 5968 7087 9611 10444 10984 14174 19222 19597 20888 21968 26087 28348 38444 39194 41776 49609 52174 56696 76888 78388 99218 104348 113392 137179 153776 156776 182609 198436 208696 274358 313552 365218 372343 396872 417392 512129 548716 730436 744686 793744 1024258 1097432 1460872 1489372 2048516 2194864 2606401 2921744 2978744 3584903 4097032 5212802 5957488 7169806 7309681 8194064 9730451 10425604 14339612 14619362 19460902 20851208 26906681 28679224 29238724 38921804 41702416 51167767 53813362 57358448 58477448 68113157 77843608 102335534 107626724 116954896 136226314 138883939 155687216 188346767 204671068 215253448 272452628 277767878 376693534 409342136 430506896 511226939 544905256 555535756 753387068 818684272 972187573 1022453878 1089810512 1111071512 1506774136 1944375146 2044907756 2222143024 3013548272 3578588573 3888750292 4089815512 7157177146 7777500584 8179631024 10036192013 14314354292 15555001168 20072384026 28628708584 40144768052 57257417168 70253344091 80289536104 140506688182 160579072208 190687648247 281013376364 381375296494 562026752728 762750592988 1124053505456 1334813537729 1525501185976 2669627075458 3051002371952 5339254150916 10678508301832 21357016603664