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32197444368 = 243431131271087
BaseRepresentation
bin11101111111000111…
…100000001100010000
310002002220011122100120
4131333013200030100
51011420021204433
622442530550240
72216611522125
oct357707401420
9102086148316
1032197444368
1112722688561
1262a6a38380
13306171043b
1417b621c74c
15c869dd7b3
hex77f1e0310

32197444368 has 160 divisors (see below), whose sum is σ = 86619979776. Its totient is φ = 10298824704.

The previous prime is 32197444351. The next prime is 32197444379. The reversal of 32197444368 is 86344479123.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 32197444368.

It is an unprimeable number.

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, 29619921 + ... + 29621007.

Almost surely, 232197444368 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 32197444368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43309989888).

32197444368 is an abundant number, since it is smaller than the sum of its proper divisors (54422535408).

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

32197444368 is a wasteful number, since it uses less digits than its factorization.

32197444368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381 (or 1375 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 51.

The spelling of 32197444368 in words is "thirty-two billion, one hundred ninety-seven million, four hundred forty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 113 127 129 172 226 254 258 339 344 381 452 508 516 678 688 762 904 1016 1032 1087 1356 1524 1808 2032 2064 2174 2712 3048 3261 4348 4859 5424 5461 6096 6522 8696 9718 10922 13044 14351 14577 16383 17392 19436 21844 26088 28702 29154 32766 38872 43053 43688 46741 52176 57404 58308 65532 77744 86106 87376 93482 114808 116616 122831 131064 138049 140223 172212 186964 229616 233232 245662 262128 276098 280446 344424 368493 373928 414147 491324 552196 560892 617093 688848 736986 747856 828294 982648 1104392 1121784 1234186 1473972 1656588 1851279 1965296 2208784 2243568 2468372 2947944 3313176 3702558 4936744 5281733 5895888 5936107 6626352 7405116 9873488 10563466 11872214 14810232 15599537 15845199 17808321 21126932 23744428 29620464 31199074 31690398 35616642 42253864 46798611 47488856 62398148 63380796 71233284 84507728 93597222 94977712 124796296 126761592 142466568 187194444 249592592 253523184 284933136 374388888 670780091 748777776 1341560182 2012340273 2683120364 4024680546 5366240728 8049361092 10732481456 16098722184 32197444368