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148912635664 = 241324121812
BaseRepresentation
bin1000101010101111100…
…0100111111100010000
3112020100222101200102101
42022223320213330100
54414433113320124
6152224242330144
713521123342562
oct2125370477420
9466328350371
10148912635664
1158176334241
1224a3a659954
1311072203c00
1472c91c1332
153d183e2644
hex22abe27f10

148912635664 has 135 divisors (see below), whose sum is σ = 322003955997. Its totient is φ = 66682137600.

The previous prime is 148912635649. The next prime is 148912635731. The reversal of 148912635664 is 466536219841.

The square root of 148912635664 is 385892.

It is a perfect power (a square), and thus also a powerful number.

148912635664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 64933232400 + 83979403264 = 254820^2 + 289792^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 822721654 + ... + 822721834.

Almost surely, 2148912635664 is an apocalyptic number.

148912635664 is the 385892-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148912635664

148912635664 is an abundant number, since it is smaller than the sum of its proper divisors (173091320333).

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

148912635664 is an equidigital number, since it uses as much as digits as its factorization.

148912635664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 237 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 55.

The spelling of 148912635664 in words is "one hundred forty-eight billion, nine hundred twelve million, six hundred thirty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 41 52 82 104 164 169 181 208 328 338 362 533 656 676 724 1066 1352 1448 1681 2132 2353 2704 2896 3362 4264 4706 6724 6929 7421 8528 9412 13448 13858 14842 18824 21853 26896 27716 29684 30589 32761 37648 43706 55432 59368 61178 65522 87412 96473 110864 118736 122356 131044 174824 192946 244712 262088 284089 304261 349648 385892 425893 489424 524176 568178 608522 771784 851786 1136356 1217044 1254149 1343201 1543568 1703572 2272712 2434088 2508298 2686402 3407144 3955393 4545424 4868176 5016596 5372804 5536609 6814288 7910786 10033192 10745608 11073218 15821572 17461613 20066384 21491216 22146436 31643144 34923226 44292872 51420109 55071241 63286288 69846452 88585744 102840218 110142482 139692904 205680436 220284964 227000969 279385808 411360872 440569928 454001938 715926133 822721744 881139856 908003876 1431852266 1816007752 2863704532 3632015504 5727409064 9307039729 11454818128 18614079458 37228158916 74456317832 148912635664