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21290793006 = 2373716384053
BaseRepresentation
bin10011110101000001…
…111011100000101110
32000221210101100101010
4103311001323200232
5322100420334011
613440355330050
71352414516550
oct236501734056
960853340333
1021290793006
1190361089aa
1241622b0926
132013c3ac92
14105d8cb4d0
1584923d1a6
hex4f507b82e

21290793006 has 64 divisors (see below), whose sum is σ = 50287154688. Its totient is φ = 5882295168.

The previous prime is 21290793001. The next prime is 21290793037. The reversal of 21290793006 is 60039709212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21290793001) 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, 211276 + ... + 295328.

It is an arithmetic number, because the mean of its divisors is an integer number (785736792).

Almost surely, 221290793006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21290793006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25143577344).

21290793006 is an abundant number, since it is smaller than the sum of its proper divisors (28996361682).

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

21290793006 is a wasteful number, since it uses less digits than its factorization.

21290793006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84265.

The product of its (nonzero) digits is 40824, while the sum is 39.

The spelling of 21290793006 in words is "twenty-one billion, two hundred ninety million, seven hundred ninety-three thousand, six".

Divisors: 1 2 3 6 7 14 21 37 42 74 111 163 222 259 326 489 518 777 978 1141 1554 2282 3423 6031 6846 12062 18093 36186 42217 84053 84434 126651 168106 252159 253302 504318 588371 1176742 1765113 3109961 3530226 6219922 9329883 13700639 18659766 21769727 27401278 41101917 43539454 65309181 82203834 95904473 130618362 191808946 287713419 506923643 575426838 1013847286 1520770929 3041541858 3548465501 7096931002 10645396503 21290793006