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2293439328432 = 243274748409307
BaseRepresentation
bin100001010111111011101…
…000101111000010110000
322010020202201201020020100
4201113323220233002300
5300033430432002212
64513331432112400
7324460364433150
oct41277350570260
98106681636210
102293439328432
1180470779046a
12310598235700
131383690bb5a5
147d008556760
153e9ce703bdc
hex215fba2f0b0

2293439328432 has 120 divisors (see below), whose sum is σ = 7491437231616. Its totient is φ = 641326485888.

The previous prime is 2293439328431. The next prime is 2293439328443. The reversal of 2293439328432 is 2348239343922.

It is a happy number.

2293439328432 is a `hidden beast` number, since 2 + 293 + 43 + 9 + 3 + 284 + 32 = 666.

2293439328432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2293439328431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24157278 + ... + 24252029.

Almost surely, 22293439328432 is an apocalyptic number.

It is an amenable number.

2293439328432 is an abundant number, since it is smaller than the sum of its proper divisors (5197997903184).

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

2293439328432 is a wasteful number, since it uses less digits than its factorization.

2293439328432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48409375 (or 48409366 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 54.

The spelling of 2293439328432 in words is "two trillion, two hundred ninety-three billion, four hundred thirty-nine million, three hundred twenty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 47 48 56 63 72 84 94 112 126 141 144 168 188 252 282 329 336 376 423 504 564 658 752 846 987 1008 1128 1316 1692 1974 2256 2632 2961 3384 3948 5264 5922 6768 7896 11844 15792 23688 47376 48409307 96818614 145227921 193637228 290455842 338865149 387274456 435683763 580911684 677730298 774548912 871367526 1016595447 1161823368 1355460596 1742735052 2033190894 2275237429 2323646736 2710921192 3049786341 3485470104 4066381788 4550474858 5421842384 6099572682 6825712287 6970940208 8132763576 9100949716 12199145364 13651424574 15926662003 16265527152 18201899432 20477136861 24398290728 27302849148 31853324006 36403798864 40954273722 47779986009 48796581456 54605698296 63706648012 81908547444 95559972018 109211396592 127413296024 143339958027 163817094888 191119944036 254826592048 286679916054 327634189776 382239888072 573359832108 764479776144 1146719664216 2293439328432