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32040325128 = 23371573133881
BaseRepresentation
bin11101110101110000…
…001001000000001000
310001200221112011021110
4131311300021000020
51011104310401003
622415155210320
72212663161420
oct356560110010
9101627464243
1032040325128
1112651a23549
1262622a69a0
133037cbac86
14179d3dd480
15c77d04a03
hex775c09008

32040325128 has 128 divisors (see below), whose sum is σ = 92445016320. Its totient is φ = 9064673280.

The previous prime is 32040325127. The next prime is 32040325129. The reversal of 32040325128 is 82152304023.

It is an interprime number because it is at equal distance from previous prime (32040325127) and next prime (32040325129).

It is a junction number, because it is equal to n+sod(n) for n = 32040325095 and 32040325104.

It is not an unprimeable number, because it can be changed into a prime (32040325123) 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 31 ways as a sum of consecutive naturals, for example, 8253748 + ... + 8257628.

It is an arithmetic number, because the mean of its divisors is an integer number (722226690).

Almost surely, 232040325128 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 32040325128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46222508160).

32040325128 is an abundant number, since it is smaller than the sum of its proper divisors (60404691192).

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

32040325128 is a wasteful number, since it uses less digits than its factorization.

32040325128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4367 (or 4363 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 32040325128 in words is "thirty-two billion, forty million, three hundred twenty-five thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 157 168 313 314 471 626 628 939 942 1099 1252 1256 1878 1884 2191 2198 2504 3297 3756 3768 3881 4382 4396 6573 6594 7512 7762 8764 8792 11643 13146 13188 15524 17528 23286 26292 26376 27167 31048 46572 49141 52584 54334 81501 93144 98282 108668 147423 163002 196564 217336 294846 326004 343987 393128 589692 609317 652008 687974 1031961 1179384 1214753 1218634 1375948 1827951 2063922 2429506 2437268 2751896 3644259 3655902 4127844 4265219 4859012 4874536 7288518 7311804 8255688 8503271 8530438 9718024 12795657 14577036 14623608 17006542 17060876 25509813 25591314 29154072 34013084 34121752 51019626 51182628 68026168 102039252 102365256 190716221 204078504 381432442 572148663 762864884 1144297326 1335013547 1525729768 2288594652 2670027094 4005040641 4577189304 5340054188 8010081282 10680108376 16020162564 32040325128