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32128108643994 = 2311191811051134681
BaseRepresentation
bin1110100111000011010001…
…00000001100011010011010
311012202102021010120000101120
413103201220200030122122
513202341331303101434
6152155241021030110
76524115324403206
oct723415040143232
9135672233500346
1032128108643994
11a2674aa82a230
12372a7866b5336
1314c088aa7cb7c
147d101a04bb06
153aaad4a68349
hex1d386880c69a

32128108643994 has 128 divisors (see below), whose sum is σ = 74265852810240. Its totient is φ = 9163627200000.

The previous prime is 32128108643977. The next prime is 32128108644059. The reversal of 32128108643994 is 49934680182123.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 238482334 + ... + 238617014.

It is an arithmetic number, because the mean of its divisors is an integer number (580201975080).

Almost surely, 232128108643994 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32128108643994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37132926405120).

32128108643994 is an abundant number, since it is smaller than the sum of its proper divisors (42137744166246).

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

32128108643994 is a wasteful number, since it uses less digits than its factorization.

32128108643994 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135948.

The product of its (nonzero) digits is 17915904, while the sum is 60.

The spelling of 32128108643994 in words is "thirty-two trillion, one hundred twenty-eight billion, one hundred eight million, six hundred forty-three thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 181 209 362 418 543 627 1051 1086 1254 1991 2102 3153 3439 3982 5973 6306 6878 10317 11561 11946 19969 20634 23122 34683 37829 39938 59907 69366 75658 113487 119814 134681 190231 219659 226974 269362 380462 404043 439318 570693 658977 808086 1141386 1317954 1481491 2092541 2558939 2962982 3614389 4185082 4444473 5117878 6277623 7228778 7676817 8888946 10843167 12555246 15353634 21686334 24377261 28148329 39758279 48754522 56296658 73131783 79516558 84444987 119274837 141549731 146263566 168889974 238549674 268149871 283099462 424649193 463167959 536299742 804449613 849298386 926335918 1389503877 1557047041 1608899226 2689444889 2779007754 3114094082 4671141123 5094847549 5378889778 8068334667 9342282246 10189695098 15284542647 16136669334 25620501311 29583893779 30569085294 51241002622 59167787558 76861503933 88751681337 153723007866 177503362674 281825514421 486789524909 563651028842 845476543263 973579049818 1460368574727 1690953086526 2920737149454 5354684773999 10709369547998 16064054321997 32128108643994