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32256530688 = 283233158907
BaseRepresentation
bin11110000010101000…
…111001100100000000
310002021000100112112210
4132002220321210000
51012030132440223
622452441222120
72221226662344
oct360250714400
9102230315483
1032256530688
1112752a74a28
126302791940
133070a2a565
1417bdddd624
15c8bcb0893
hex782a39900

32256530688 has 144 divisors (see below), whose sum is σ = 92473307136. Its totient is φ = 9952757760.

The previous prime is 32256530687. The next prime is 32256530723. The reversal of 32256530688 is 88603565223.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (32256530687) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 518131 + ... + 577037.

It is an arithmetic number, because the mean of its divisors is an integer number (642175744).

Almost surely, 232256530688 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 32256530688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46236653568).

32256530688 is an abundant number, since it is smaller than the sum of its proper divisors (60216776448).

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

32256530688 is a wasteful number, since it uses less digits than its factorization.

32256530688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58980 (or 58966 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 32256530688 in words is "thirty-two billion, two hundred fifty-six million, five hundred thirty thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 31 32 46 48 62 64 69 92 93 96 124 128 138 184 186 192 248 256 276 368 372 384 496 552 713 736 744 768 992 1104 1426 1472 1488 1984 2139 2208 2852 2944 2976 3968 4278 4416 5704 5888 5952 7936 8556 8832 11408 11904 17112 17664 22816 23808 34224 45632 58907 68448 91264 117814 136896 176721 182528 235628 273792 353442 471256 547584 706884 942512 1354861 1413768 1826117 1885024 2709722 2827536 3652234 3770048 4064583 5419444 5478351 5655072 7304468 7540096 8129166 10838888 10956702 11310144 14608936 15080192 16258332 21677776 21913404 22620288 29217872 32516664 42000691 43355552 43826808 45240576 58435744 65033328 84001382 86711104 87653616 116871488 126002073 130066656 168002764 173422208 175307232 233742976 252004146 260133312 336005528 346844416 350614464 467485952 504008292 520266624 672011056 701228928 1008016584 1040533248 1344022112 1402457856 2016033168 2688044224 4032066336 5376088448 8064132672 10752176896 16128265344 32256530688