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21337216606704 = 24373167281129763
BaseRepresentation
bin1001101100111111101010…
…01101110110000111110000
32210112211002022102110120210
410312133311031312013300
510244042104422403304
6113214103150504120
74331364055442655
oct466376515660760
983484068373523
1021337216606704
116887076572729
122487366805040
13bba1248c923b
1453aa26473c2c
1527006b238c89
hex1367f53761f0

21337216606704 has 160 divisors (see below), whose sum is σ = 56411288446464. Its totient is φ = 6948101099520.

The previous prime is 21337216606703. The next prime is 21337216606729. The reversal of 21337216606704 is 40760661273312.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21337216606703) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164367327 + ... + 164497089.

Almost surely, 221337216606704 is an apocalyptic number.

21337216606704 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 21337216606704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28205644223232).

21337216606704 is an abundant number, since it is smaller than the sum of its proper divisors (35074071839760).

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

21337216606704 is a wasteful number, since it uses less digits than its factorization.

21337216606704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130295 (or 130289 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 48.

The spelling of 21337216606704 in words is "twenty-one trillion, three hundred thirty-seven billion, two hundred sixteen million, six hundred six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 167 219 281 292 334 438 501 562 584 668 843 876 1002 1124 1168 1336 1686 1752 2004 2248 2672 3372 3504 4008 4496 6744 8016 12191 13488 20513 24382 36573 41026 46927 48764 61539 73146 82052 93854 97528 123078 129763 140781 146292 164104 187708 195056 246156 259526 281562 292584 328208 375416 389289 492312 519052 563124 585168 750832 778578 984624 1038104 1126248 1557156 2076208 2252496 3114312 3425671 6228624 6851342 9472699 10277013 13702684 18945398 20554026 21670421 27405368 28418097 36463403 37890796 41108052 43340842 54810736 56836194 65011263 72926806 75781592 82216104 86681684 109390209 113672388 130022526 145853612 151563184 164432208 173363368 218780418 227344776 260045052 291707224 346726736 437560836 454689552 520090104 583414448 875121672 1040180208 1581940733 1750243344 2661828419 3163881466 4745822199 5323656838 6089388301 6327762932 7985485257 9491644398 10647313676 12178776602 12655525864 15970970514 18268164903 18983288796 21294627352 24357553204 25311051728 31941941028 36536329806 37966577592 42589254704 48715106408 63883882056 73072659612 75933155184 97430212816 127767764112 146145319224 292290638448 444525345973 889050691946 1333576037919 1778101383892 2667152075838 3556202767784 5334304151676 7112405535568 10668608303352 21337216606704