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426083014192 = 241124116216197
BaseRepresentation
bin1100011001101001000…
…01101101011000110000
31111201210110100202222111
412030310201231120300
523440104222423232
6523423445415104
742532506602113
oct6146441553060
91451713322874
10426083014192
11154778831a80
126a6b240a494
1331244359054
14168a030657a
15b13b6e9047
hex633486d630

426083014192 has 80 divisors (see below), whose sum is σ = 905025315744. Its totient is φ = 192720384000.

The previous prime is 426083014171. The next prime is 426083014277. The reversal of 426083014192 is 291410380624.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68753238 + ... + 68759434.

Almost surely, 2426083014192 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 426083014192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452512657872).

426083014192 is an abundant number, since it is smaller than the sum of its proper divisors (478942301552).

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

426083014192 is a wasteful number, since it uses less digits than its factorization.

426083014192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8078 (or 8072 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 426083014192 in words is "four hundred twenty-six billion, eighty-three million, fourteen thousand, one hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 241 482 964 1621 1928 2651 3242 3856 5302 6197 6484 10604 12394 12968 17831 21208 24788 25936 35662 42416 49576 68167 71324 99152 136334 142648 272668 285296 390661 545336 781322 1090672 1493477 1562644 2986954 3125288 4297271 5973908 6250576 8594542 10045337 11947816 16428247 17189084 20090674 23895632 32856494 34378168 40181348 65712988 68756336 80362696 110498707 131425976 160725392 220997414 262851952 441994828 883989656 1767979312 2420926217 4841852434 9683704868 19367409736 26630188387 38734819472 53260376774 106520753548 213041507096 426083014192