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21351060653648 = 24111272944332443
BaseRepresentation
bin1001101101011001011100…
…11000101100011001010000
32210121010211010102220210012
410312230232120230121100
510244303433011404043
6113224313012454052
74332364121055605
oct466545630543120
983533733386705
1021351060653648
116891a30133040
122489b8b01a328
13bbb51cb036ab
1453b57ad526ac
152705cb813a18
hex136b2e62c650

21351060653648 has 80 divisors (see below), whose sum is σ = 45486666571776. Its totient is φ = 9627986229120.

The previous prime is 21351060653647. The next prime is 21351060653677. The reversal of 21351060653648 is 84635606015312.

It is a happy number.

It is a super-2 number, since 2×213510606536482 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21351060653596 and 21351060653605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21351060653647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 658093715 + ... + 658126157.

Almost surely, 221351060653648 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 21351060653648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22743333285888).

21351060653648 is an abundant number, since it is smaller than the sum of its proper divisors (24135605918128).

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

21351060653648 is a wasteful number, since it uses less digits than its factorization.

21351060653648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62032 (or 62026 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 50.

The spelling of 21351060653648 in words is "twenty-one trillion, three hundred fifty-one billion, sixty million, six hundred fifty-three thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 127 176 254 508 1016 1397 2032 2794 5588 11176 22352 29443 32443 58886 64886 117772 129772 235544 259544 323873 356873 471088 519088 647746 713746 1295492 1427492 2590984 2854984 3739261 4120261 5181968 5709968 7478522 8240522 14957044 16481044 29914088 32962088 41131871 45322871 59828176 65924176 82263742 90645742 164527484 181291484 329054968 362582968 658109936 725165936 955219249 1910438498 3820876996 7641753992 10507411739 15283507984 21014823478 42029646956 84059293912 121312844623 168118587824 242625689246 485251378492 970502756984 1334441290853 1941005513968 2668882581706 5337765163412 10675530326824 21351060653648