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210793072976 = 24175337333917
BaseRepresentation
bin1100010001010000111…
…1110000100101010000
3202011002112100121012222
43010110033300211100
511423201011313401
6240500443040212
721141435362033
oct3042417604520
9664075317188
10210793072976
1181440215722
1234a2a210068
1316b544055a5
14a2b96c901a
15573ac8bc1b
hex31143f0950

210793072976 has 80 divisors (see below), whose sum is σ = 440825495184. Its totient is φ = 97274191872.

The previous prime is 210793072969. The next prime is 210793072979. The reversal of 210793072976 is 679270397012.

It can be written as a sum of positive squares in 8 ways, for example, as 40471782976 + 170321290000 = 201176^2 + 412700^2 .

It is a super-2 number, since 2×2107930729762 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210793072979) 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, 53812970 + ... + 53816886.

Almost surely, 2210793072976 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 210793072976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220412747592).

210793072976 is an abundant number, since it is smaller than the sum of its proper divisors (230032422208).

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

210793072976 is a wasteful number, since it uses less digits than its factorization.

210793072976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7728 (or 7722 counting only the distinct ones).

The product of its (nonzero) digits is 2000376, while the sum is 53.

The spelling of 210793072976 in words is "two hundred ten billion, seven hundred ninety-three million, seventy-two thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 17 34 53 68 106 136 212 272 424 848 901 1802 3604 3733 3917 7208 7466 7834 14416 14932 15668 29864 31336 59728 62672 63461 66589 126922 133178 197849 207601 253844 266356 395698 415202 507688 532712 791396 830404 1015376 1065424 1582792 1660808 3165584 3321616 3363433 3529217 6726866 7058434 13453732 14116868 14622161 26907464 28233736 29244322 53814928 56467472 58488644 116977288 233954576 248576737 497153474 774974533 994306948 1549949066 1988613896 3099898132 3977227792 6199796264 12399592528 13174567061 26349134122 52698268244 105396536488 210793072976