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32345254242 = 23277910132173
BaseRepresentation
bin11110000111111011…
…010110100101100010
310002111012022011101100
4132013323112211202
51012220341113432
622505331015230
72223355060530
oct360773264542
9102435264340
1032345254242
1112799064284
12632843a516
1330862234c2
1417cbad7150
15c9498907c
hex787ed6962

32345254242 has 96 divisors (see below), whose sum is σ = 81912430080. Its totient is φ = 9033897600.

The previous prime is 32345254237. The next prime is 32345254261. The reversal of 32345254242 is 24245254323.

32345254242 is a `hidden beast` number, since 3 + 23 + 4 + 52 + 542 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 32345254197 and 32345254206.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 989268 + ... + 1021440.

It is an arithmetic number, because the mean of its divisors is an integer number (853254480).

Almost surely, 232345254242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32345254242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40956215040).

32345254242 is an abundant number, since it is smaller than the sum of its proper divisors (49567175838).

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

32345254242 is a wasteful number, since it uses less digits than its factorization.

32345254242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32368 (or 32365 counting only the distinct ones).

The product of its digits is 230400, while the sum is 36.

The spelling of 32345254242 in words is "thirty-two billion, three hundred forty-five million, two hundred fifty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 79 101 126 158 202 237 303 474 553 606 707 711 909 1106 1414 1422 1659 1818 2121 3318 4242 4977 6363 7979 9954 12726 15958 23937 32173 47874 55853 64346 71811 96519 111706 143622 167559 193038 225211 289557 335118 450422 502677 579114 675633 1005354 1351266 2026899 2541667 3249473 4053798 5083334 6498946 7625001 9748419 15250002 17791669 19496838 22746311 22875003 29245257 35583338 45492622 45750006 53375007 58490514 68238933 106750014 136477866 160125021 204716799 256708367 320250042 409433598 513416734 770125101 1540250202 1796958569 2310375303 3593917138 4620750606 5390875707 10781751414 16172627121 32345254242