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385268497432 = 2371312719121817
BaseRepresentation
bin1011001101100111100…
…10101011110000011000
31100211110000122111112121
411212303302223300120
522303012213404212
6452553452551024
736556212123640
oct5466362536030
91324400574477
10385268497432
11139434028495
1262801782474
132a43b610210
141490b8b1520
15a04d46dd07
hex59b3cabc18

385268497432 has 128 divisors (see below), whose sum is σ = 900814602240. Its totient is φ = 150415211520.

The previous prime is 385268497421. The next prime is 385268497459. The reversal of 385268497432 is 234794862583.

It is a super-2 number, since 2×3852684974322 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17648188 + ... + 17670004.

It is an arithmetic number, because the mean of its divisors is an integer number (7037614080).

Almost surely, 2385268497432 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 385268497432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450407301120).

385268497432 is an abundant number, since it is smaller than the sum of its proper divisors (515546104808).

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

385268497432 is a wasteful number, since it uses less digits than its factorization.

385268497432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22161 (or 22157 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 61.

The spelling of 385268497432 in words is "three hundred eighty-five billion, two hundred sixty-eight million, four hundred ninety-seven thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 127 182 191 254 364 382 508 728 764 889 1016 1337 1528 1651 1778 2483 2674 3302 3556 4966 5348 6604 7112 9932 10696 11557 13208 17381 19864 21817 23114 24257 34762 43634 46228 48514 69524 87268 92456 97028 139048 152719 169799 174536 194056 283621 305438 315341 339598 567242 610876 630682 679196 1134484 1221752 1261364 1358392 1985347 2207387 2268968 2522728 2770759 3970694 4167047 4414774 5541518 7941388 8334094 8829548 11083036 15882776 16668188 17659096 19395313 22166072 29169329 33336376 36019867 38790626 54171611 58338658 72039734 77581252 108343222 116677316 144079468 155162504 216686444 233354632 252139069 288158936 379201277 433372888 504278138 529214969 758402554 1008556276 1058429938 1516805108 2017112552 2116859876 3033610216 3704504783 4233719752 6879794597 7409009566 13759589194 14818019132 27519178388 29636038264 48158562179 55038356776 96317124358 192634248716 385268497432