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32542452140 = 225112273731747
BaseRepresentation
bin11110010011101011…
…100110100110101100
310002222221100212001012
4132103223212212230
51013121331432030
622541053404352
72231301164522
oct362353464654
9102887325035
1032542452140
111288a402a50
1263824996b8
1330b8039253
141809d8a312
15ca6e3d095
hex793ae69ac

32542452140 has 96 divisors (see below), whose sum is σ = 75123949824. Its totient is φ = 11743176960.

The previous prime is 32542452133. The next prime is 32542452157. The reversal of 32542452140 is 4125424523.

It is a super-2 number, since 2×325424521402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32542452097 and 32542452106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18626747 + ... + 18628493.

It is an arithmetic number, because the mean of its divisors is an integer number (782541144).

Almost surely, 232542452140 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 32542452140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37561974912).

32542452140 is an abundant number, since it is smaller than the sum of its proper divisors (42581497684).

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

32542452140 is a wasteful number, since it uses less digits than its factorization.

32542452140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2367 (or 2365 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

Adding to 32542452140 its reverse (4125424523), we get a palindrome (36667876663).

The spelling of 32542452140 in words is "thirty-two billion, five hundred forty-two million, four hundred fifty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 227 373 454 746 908 1135 1492 1747 1865 2270 2497 3494 3730 4103 4540 4994 6988 7460 8206 8735 9988 12485 16412 17470 19217 20515 24970 34940 38434 41030 49940 76868 82060 84671 96085 169342 192170 338684 384340 396569 423355 651631 793138 846710 931381 1303262 1586276 1693420 1862762 1982845 2606524 3258155 3725524 3965690 4362259 4656905 6516310 7167941 7931380 8724518 9313810 13032620 14335882 17449036 18627620 21811295 28671764 35839705 43622590 71679410 87245180 143358820 147920237 295840474 591680948 739601185 1479202370 1627122607 2958404740 3254245214 6508490428 8135613035 16271226070 32542452140