Search a number
-
+
32448590428345 = 5713315938991571
BaseRepresentation
bin1110110000011000001101…
…01101001011100010111001
311020220001111001120111021021
413120030012231023202321
513223114203122201340
6153002402053542441
76556222214541550
oct730140655134271
9136801431514237
1032448590428345
11a380408400233
123780907344a21
131514b730312b0
1480273d448d97
153b40e040de4a
hex1d8306b4b8b9

32448590428345 has 64 divisors (see below), whose sum is σ = 50308485857280. Its totient is φ = 19539455558400.

The previous prime is 32448590428307. The next prime is 32448590428351. The reversal of 32448590428345 is 54382409584423.

It is not a de Polignac number, because 32448590428345 - 223 = 32448582039737 is a prime.

It is a super-2 number, since 2×324485904283452 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18663591 + ... + 20327980.

It is an arithmetic number, because the mean of its divisors is an integer number (786070091520).

Almost surely, 232448590428345 is an apocalyptic number.

32448590428345 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

32448590428345 is a deficient number, since it is larger than the sum of its proper divisors (17859895428935).

32448590428345 is a wasteful number, since it uses less digits than its factorization.

32448590428345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38991686.

The product of its (nonzero) digits is 132710400, while the sum is 61.

The spelling of 32448590428345 in words is "thirty-two trillion, four hundred forty-eight billion, five hundred ninety million, four hundred twenty-eight thousand, three hundred forty-five".

Divisors: 1 5 7 13 31 35 59 65 91 155 217 295 403 413 455 767 1085 1829 2015 2065 2821 3835 5369 9145 12803 14105 23777 26845 64015 118885 166439 832195 38991571 194957855 272940997 506890423 1208738701 1364704985 2300502689 2534452115 3548232961 6043693505 8461170907 11502513445 15713603113 16103518823 17741164805 29906534957 42305854535 71315583359 78568015565 80517594115 109995221791 149532674785 209345744699 356577916795 499209083513 549976108955 927102583667 1046728723495 2496045417565 4635512918335 6489718085669 32448590428345