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148804605504 = 2632160732
BaseRepresentation
bin1000101010010101110…
…0100001011001000000
3112020002110010011220100
42022211130201121000
54414222434334004
6152205423042400
713515342164052
oct2124534413100
9466073104810
10148804605504
1158120358615
1224a0a440400
1311055a0b339
1472b8add8d2
153d0dba3739
hex22a5721640

148804605504 has 63 divisors (see below), whose sum is σ = 426548072353. Its totient is φ = 49598449152.

The previous prime is 148804605493. The next prime is 148804605527. The reversal of 148804605504 is 405506408841.

It is a happy number.

The square root of 148804605504 is 385752.

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

148804605504 is a `hidden beast` number, since 1 + 4 + 8 + 80 + 4 + 60 + 5 + 504 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26830440000 + 121974165504 = 163800^2 + 349248^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 148804605504.

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, 9250012 + ... + 9266084.

Almost surely, 2148804605504 is an apocalyptic number.

148804605504 is the 385752-nd square number.

It is an amenable number.

148804605504 is an abundant number, since it is smaller than the sum of its proper divisors (277743466849).

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

148804605504 is an frugal number, since it uses more digits than its factorization.

148804605504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32164 (or 16078 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 148804605504 in words is "one hundred forty-eight billion, eight hundred four million, six hundred five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 16073 32146 48219 64292 96438 128584 144657 192876 257168 289314 385752 514336 578628 771504 1028672 1157256 1543008 2314512 3086016 4629024 9258048 258341329 516682658 775023987 1033365316 1550047974 2066730632 2325071961 3100095948 4133461264 4650143922 6200191896 8266922528 9300287844 12400383792 16533845056 18600575688 24800767584 37201151376 49601535168 74402302752 148804605504