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10332224742 = 2371725157653
BaseRepresentation
bin10011001111101100…
…10011110011100110
3222200001220101210110
421213312103303212
5132130022142432
64425131233450
7514020314130
oct114766236346
928601811713
1010332224742
1144222a9414
1220042a8886
13c8878ba68
14700324050
15407134dcc
hex267d93ce6

10332224742 has 64 divisors (see below), whose sum is σ = 25105780224. Its totient is φ = 2767296000.

The previous prime is 10332224741. The next prime is 10332224753. The reversal of 10332224742 is 24742223301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10332224741) 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, 150388 + ... + 208040.

It is an arithmetic number, because the mean of its divisors is an integer number (392277816).

Almost surely, 210332224742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10332224742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12552890112).

10332224742 is an abundant number, since it is smaller than the sum of its proper divisors (14773555482).

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

10332224742 is a wasteful number, since it uses less digits than its factorization.

10332224742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57933.

The product of its (nonzero) digits is 16128, while the sum is 30.

The spelling of 10332224742 in words is "ten billion, three hundred thirty-two million, two hundred twenty-four thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 251 357 502 714 753 1506 1757 3514 4267 5271 8534 10542 12801 25602 29869 57653 59738 89607 115306 172959 179214 345918 403571 807142 980101 1210713 1960202 2421426 2940303 5880606 6860707 13721414 14470903 20582121 28941806 41164242 43412709 86825418 101296321 202592642 246005351 303888963 492010702 607777926 738016053 1476032106 1722037457 3444074914 5166112371 10332224742