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21709642064 = 24115315115413
BaseRepresentation
bin10100001101111111…
…101101100101010000
32002000222112002021012
4110031333231211100
5323430132021224
613550120550052
71365661625045
oct241577554520
962028462235
1021709642064
119230588450
12425a622328
13207c94bb66
14109d39b1cc
15870dc680e
hex50dfed950

21709642064 has 80 divisors (see below), whose sum is σ = 47064737664. Its totient is φ = 9617088000.

The previous prime is 21709642037. The next prime is 21709642069. The reversal of 21709642064 is 46024690712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21709642069) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1400822 + ... + 1416234.

Almost surely, 221709642064 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 21709642064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23532368832).

21709642064 is an abundant number, since it is smaller than the sum of its proper divisors (25355095600).

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

21709642064 is a wasteful number, since it uses less digits than its factorization.

21709642064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15636 (or 15630 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The spelling of 21709642064 in words is "twenty-one billion, seven hundred nine million, six hundred forty-two thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 44 53 88 106 151 176 212 302 424 583 604 848 1166 1208 1661 2332 2416 3322 4664 6644 8003 9328 13288 15413 16006 26576 30826 32012 61652 64024 88033 123304 128048 169543 176066 246608 339086 352132 678172 704264 816889 1356344 1408528 1633778 2327363 2712688 3267556 4654726 6535112 8985779 9309452 13070224 17971558 18618904 25600993 35943116 37237808 51201986 71886232 102403972 123350239 143772464 204807944 246700478 409615888 493400956 986801912 1356852629 1973603824 2713705258 5427410516 10854821032 21709642064