Search a number
-
+
10225402331664 = 2431340940065679
BaseRepresentation
bin1001010011001100100101…
…1110010100001000010000
31100012112112212111002102110
42110303021132110020100
52320013110444103124
633425252431145320
72103522000505302
oct224631136241020
940175485432373
1010225402331664
113292629049a53
121191902675240
1359233615a880
14274caaba7972
1512aebd55e029
hex94cc9794210

10225402331664 has 80 divisors (see below), whose sum is σ = 28517148396800. Its totient is φ = 3138584951808.

The previous prime is 10225402331597. The next prime is 10225402331671. The reversal of 10225402331664 is 46613320452201.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19777624 + ... + 20288055.

It is an arithmetic number, because the mean of its divisors is an integer number (356464354960).

Almost surely, 210225402331664 is an apocalyptic number.

It is an amenable number.

10225402331664 is an abundant number, since it is smaller than the sum of its proper divisors (18291746065136).

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

10225402331664 is a wasteful number, since it uses less digits than its factorization.

10225402331664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40066112 (or 40066106 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

Adding to 10225402331664 its reverse (46613320452201), we get a palindrome (56838722783865).

The spelling of 10225402331664 in words is "ten trillion, two hundred twenty-five billion, four hundred two million, three hundred thirty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 409 624 818 1227 1636 2454 3272 4908 5317 6544 9816 10634 15951 19632 21268 31902 42536 63804 85072 127608 255216 40065679 80131358 120197037 160262716 240394074 320525432 480788148 520853827 641050864 961576296 1041707654 1562561481 1923152592 2083415308 3125122962 4166830616 6250245924 8333661232 12500491848 16386862711 25000983696 32773725422 49160588133 65547450844 98321176266 131094901688 196642352532 213029215243 262189803376 393284705064 426058430486 639087645729 786569410128 852116860972 1278175291458 1704233721944 2556350582916 3408467443888 5112701165832 10225402331664