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148351223808 = 2113228372
BaseRepresentation
bin1000101000101001101…
…1000000100000000000
3112011220212000000010200
42022022123000200000
54412310403130213
6152052425325200
713501165411404
oct2121233004000
9464825000120
10148351223808
1157a084421a7
1224902636800
1310cb2ac9348
147274801104
153cd3e98273
hex228a6c0800

148351223808 has 108 divisors (see below), whose sum is σ = 428616651645. Its totient is φ = 49432977408.

The previous prime is 148351223791. The next prime is 148351223833. The reversal of 148351223808 is 808322153841.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

148351223808 is a `hidden beast` number, since 148 + 3 + 5 + 122 + 380 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 101154530304 + 47196693504 = 318048^2 + 217248^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=272352.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 52290166 + ... + 52293002.

Almost surely, 2148351223808 is an apocalyptic number.

148351223808 is a gapful number since it is divisible by the number (18) 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 148351223808

148351223808 is an abundant number, since it is smaller than the sum of its proper divisors (280265427837).

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

148351223808 is an frugal number, since it uses more digits than its factorization.

148351223808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5702 (or 2842 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 148351223808 in words is "one hundred forty-eight billion, three hundred fifty-one million, two hundred twenty-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 2837 3072 4608 5674 6144 8511 9216 11348 17022 18432 22696 25533 34044 45392 51066 68088 90784 102132 136176 181568 204264 272352 363136 408528 544704 726272 817056 1089408 1452544 1634112 2178816 2905088 3268224 4357632 5810176 6536448 8048569 8715264 13072896 16097138 17430528 24145707 26145792 32194276 48291414 52291584 64388552 72437121 96582828 128777104 144874242 193165656 257554208 289748484 386331312 515108416 579496968 772662624 1030216832 1158993936 1545325248 2060433664 2317987872 3090650496 4120867328 4635975744 6181300992 8241734656 9271951488 12362601984 16483469312 18543902976 24725203968 37087805952 49450407936 74175611904 148351223808