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148422444768 = 25331313214249
BaseRepresentation
bin1000101000111010101…
…0101100011011100000
3112012002211000101221000
42022032222230123200
54412432121213033
6152103452032000
713503021651603
oct2121652543340
9465084011830
10148422444768
1157a446675a4
1224922462600
1310cc47a4820
14728006033a
153cda365a13
hex228eaac6e0

148422444768 has 96 divisors (see below), whose sum is σ = 466198740000. Its totient is φ = 45668441088.

The previous prime is 148422444757. The next prime is 148422444851. The reversal of 148422444768 is 867444224841.

It is a happy number.

148422444768 is a `hidden beast` number, since 1 + 484 + 22 + 44 + 47 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1484224447682 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 6595893 + ... + 6618356.

It is an arithmetic number, because the mean of its divisors is an integer number (4856236875).

Almost surely, 2148422444768 is an apocalyptic number.

148422444768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

148422444768 is an abundant number, since it is smaller than the sum of its proper divisors (317776295232).

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

148422444768 is a wasteful number, since it uses less digits than its factorization.

148422444768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13214281 (or 13214267 counting only the distinct ones).

The product of its digits is 11010048, while the sum is 54.

The spelling of 148422444768 in words is "one hundred forty-eight billion, four hundred twenty-two million, four hundred forty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1872 2808 3744 5616 11232 13214249 26428498 39642747 52856996 79285494 105713992 118928241 158570988 171785237 211427984 237856482 317141976 343570474 356784723 422855968 475712964 515355711 634283952 687140948 713569446 951425928 1030711422 1268567904 1374281896 1427138892 1546067133 1902851856 2061422844 2748563792 2854277784 3092134266 3805703712 4122845688 4638201399 5497127584 5708555568 6184268532 8245691376 9276402798 11417111136 12368537064 16491382752 18552805596 24737074128 37105611192 49474148256 74211222384 148422444768