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42217047392 = 25135312715077
BaseRepresentation
bin100111010100010101…
…010000010101100000
311000222011211012202212
4213110111100111200
51142430031004032
631221053501252
73023114660552
oct472425202540
9130864735685
1042217047392
11169a4471613
1282224a1828
133c9a4a2420
142086c054d2
15117146ebb2
hex9d4550560

42217047392 has 96 divisors (see below), whose sum is σ = 91921277952. Its totient is φ = 18965366784.

The previous prime is 42217047361. The next prime is 42217047407. The reversal of 42217047392 is 29374071224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2792558 + ... + 2807634.

It is an arithmetic number, because the mean of its divisors is an integer number (957513312).

Almost surely, 242217047392 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 42217047392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45960638976).

42217047392 is an abundant number, since it is smaller than the sum of its proper divisors (49704230560).

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

42217047392 is a wasteful number, since it uses less digits than its factorization.

42217047392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15280 (or 15272 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 41.

The spelling of 42217047392 in words is "forty-two billion, two hundred seventeen million, forty-seven thousand, three hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 52 53 104 106 127 208 212 254 416 424 508 689 848 1016 1378 1651 1696 2032 2756 3302 4064 5512 6604 6731 11024 13208 13462 15077 22048 26416 26924 30154 52832 53848 60308 87503 107696 120616 175006 196001 215392 241232 350012 392002 482464 700024 784004 799081 1400048 1568008 1598162 1914779 2800096 3136016 3196324 3829558 6272032 6392648 7659116 10388053 12785296 15318232 20776106 24892127 25570592 30636464 41552212 49784254 61272928 83104424 99568508 101483287 166208848 199137016 202966574 332417696 398274032 405933148 796548064 811866296 1319282731 1623732592 2638565462 3247465184 5277130924 10554261848 21108523696 42217047392