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32283841688 = 2372312431993
BaseRepresentation
bin11110000100010001…
…000101010010011000
310002022220202002012022
4132010101011102120
51012104130413223
622455254434012
72222011061300
oct360421052230
9102286662168
1032283841688
11127674290aa
12630b962908
1330765a0607
1417c38ac600
15c8e3a7ac8
hex784445498

32283841688 has 144 divisors (see below), whose sum is σ = 74489180040. Its totient is φ = 13071663360.

The previous prime is 32283841669. The next prime is 32283841747. The reversal of 32283841688 is 88614838223.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16197620 + ... + 16199612.

Almost surely, 232283841688 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 32283841688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37244590020).

32283841688 is an abundant number, since it is smaller than the sum of its proper divisors (42205338352).

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

32283841688 is a wasteful number, since it uses less digits than its factorization.

32283841688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118 (or 2076 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 53.

The spelling of 32283841688 in words is "thirty-two billion, two hundred eighty-three million, eight hundred forty-one thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 28 31 43 49 56 62 86 98 124 172 196 217 248 301 344 392 434 602 868 961 1204 1333 1519 1736 1922 1993 2107 2408 2666 3038 3844 3986 4214 5332 6076 6727 7688 7972 8428 9331 10664 12152 13454 13951 15944 16856 18662 26908 27902 37324 41323 47089 53816 55804 61783 65317 74648 82646 85699 94178 97657 111608 123566 130634 165292 171398 188356 195314 247132 261268 289261 330584 342796 376712 390628 432481 494264 522536 578522 599893 685592 781256 864962 1157044 1199786 1729924 1915273 2024827 2314088 2399572 2656669 3027367 3459848 3830546 4049654 4199251 4799144 5313338 6054734 7661092 8099308 8398502 10626676 12109468 13406911 15322184 16198616 16797004 18596683 21253352 24218936 26813822 33594008 37193366 53627644 74386732 82356739 93848377 107255288 130176781 148773464 164713478 187696754 260353562 329426956 375393508 520707124 576497173 658853912 750787016 1041414248 1152994346 2305988692 4035480211 4611977384 8070960422 16141920844 32283841688