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32542231504 = 24175317912611
BaseRepresentation
bin11110010011101010…
…110000101111010000
310002222220221122101111
4132103222300233100
51013121302402004
622541044543104
72231266255336
oct362352605720
9102886848344
1032542231504
111288a272202
1263823b1a94
1330b7c8c9b3
141809d2db56
15ca6de7a04
hex793ab0bd0

32542231504 has 80 divisors (see below), whose sum is σ = 68404461120. Its totient is φ = 14939924480.

The previous prime is 32542231481. The next prime is 32542231523. The reversal of 32542231504 is 40513224523.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2574159 + ... + 2586769.

It is an arithmetic number, because the mean of its divisors is an integer number (855055764).

Almost surely, 232542231504 is an apocalyptic number.

32542231504 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32542231504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34202230560).

32542231504 is an abundant number, since it is smaller than the sum of its proper divisors (35862229616).

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

32542231504 is a wasteful number, since it uses less digits than its factorization.

32542231504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12868 (or 12862 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

The spelling of 32542231504 in words is "thirty-two billion, five hundred forty-two million, two hundred thirty-one thousand, five hundred four".

Divisors: 1 2 4 8 16 17 34 53 68 106 136 179 212 272 358 424 716 848 901 1432 1802 2864 3043 3604 6086 7208 9487 12172 12611 14416 18974 24344 25222 37948 48688 50444 75896 100888 151792 161279 201776 214387 322558 428774 645116 668383 857548 1290232 1336766 1715096 2257369 2580464 2673532 3430192 4514738 5347064 9029476 10694128 11362511 18058952 22725022 36117904 38375273 45450044 76750546 90900088 119640557 153501092 181800176 239281114 307002184 478562228 614004368 957124456 1914248912 2033889469 4067778938 8135557876 16271115752 32542231504