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8212330040742 = 23231371093649253
BaseRepresentation
bin111011110000001010100…
…0000111100110110100110
31002002002110101211001111100
41313200111000330312212
52034022322442300432
625244405313420530
71505215123405002
oct167402500746646
932062411731440
108212330040742
112686914238553
12b0773086a746
1347755b563319
1420569c131702
15e394cb0007c
hex7781503cda6

8212330040742 has 96 divisors (see below), whose sum is σ = 19036844386560. Its totient is φ = 2553892519680.

The previous prime is 8212330040737. The next prime is 8212330040749. The reversal of 8212330040742 is 2470400332128.

It is a happy number.

8212330040742 is a `hidden beast` number, since 8 + 212 + 3 + 30 + 0 + 407 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 8212330040697 and 8212330040706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8212330040749) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 425788 + ... + 4075040.

It is an arithmetic number, because the mean of its divisors is an integer number (198300462360).

Almost surely, 28212330040742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8212330040742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9518422193280).

8212330040742 is an abundant number, since it is smaller than the sum of its proper divisors (10824514345818).

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

8212330040742 is a wasteful number, since it uses less digits than its factorization.

8212330040742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3649438 (or 3649435 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 8212330040742 in words is "eight trillion, two hundred twelve billion, three hundred thirty million, forty thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 31 37 62 74 93 109 111 186 218 222 279 327 333 558 654 666 981 1147 1962 2294 3379 3441 4033 6758 6882 8066 10137 10323 12099 20274 20646 24198 30411 36297 60822 72594 125023 250046 375069 750138 1125207 2250414 3649253 7298506 10947759 21895518 32843277 65686554 113126843 135022361 226253686 270044722 339380529 397768577 405067083 678761058 795537154 810134166 1018141587 1193305731 1215201249 2036283174 2386611462 2430402498 3579917193 4185693191 7159834386 8371386382 12330825887 12557079573 14717437349 24661651774 25114159146 29434874698 36992477661 37671238719 44152312047 73984955322 75342477438 88304624094 110977432983 132456936141 221954865966 264913872282 456240557819 912481115638 1368721673457 2737443346914 4106165020371 8212330040742