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32997974568 = 23313294188951
BaseRepresentation
bin11110101110110101…
…010010001000101000
310011011200111210100020
4132232311102020220
51020034440141233
623054205040440
72245502104326
oct365665221050
9104150453306
1032997974568
1112aa3550769
12648ab56120
13315b51a750
141850684d16
15cd1e1c9b3
hex7aed52228

32997974568 has 128 divisors (see below), whose sum is σ = 94146796800. Its totient is φ = 9563904000.

The previous prime is 32997974567. The next prime is 32997974623. The reversal of 32997974568 is 86547979923.

It is not an unprimeable number, because it can be changed into a prime (32997974563) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 326493 + ... + 415443.

It is an arithmetic number, because the mean of its divisors is an integer number (735521850).

Almost surely, 232997974568 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 32997974568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47073398400).

32997974568 is an abundant number, since it is smaller than the sum of its proper divisors (61148822232).

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

32997974568 is a wasteful number, since it uses less digits than its factorization.

32997974568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89043 (or 89039 counting only the distinct ones).

The product of its digits is 205752960, while the sum is 69.

The spelling of 32997974568 in words is "thirty-two billion, nine hundred ninety-seven million, nine hundred seventy-four thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 29 39 41 52 58 78 82 87 104 116 123 156 164 174 232 246 312 328 348 377 492 533 696 754 984 1066 1131 1189 1508 1599 2132 2262 2378 3016 3198 3567 4264 4524 4756 6396 7134 9048 9512 12792 14268 15457 28536 30914 46371 61828 88951 92742 123656 177902 185484 266853 355804 370968 533706 711608 1067412 1156363 2134824 2312726 2579579 3469089 3646991 4625452 5159158 6938178 7293982 7738737 9250904 10318316 10940973 13876356 14587964 15477474 20636632 21881946 27752712 29175928 30954948 33534527 43763892 47410883 61909896 67069054 87527784 94821766 100603581 105762739 134138108 142232649 189643532 201207162 211525478 268276216 284465298 317288217 379287064 402414324 423050956 568930596 634576434 804828648 846101912 1137861192 1269152868 1374915607 2538305736 2749831214 4124746821 5499662428 8249493642 10999324856 16498987284 32997974568