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148505894208 = 2633712277273
BaseRepresentation
bin1000101001001110100…
…1000001110101000000
3112012022122001002001000
42022103221001311000
54413120002103313
6152120032412000
713505054162460
oct2122351016500
9465278032030
10148505894208
1157a87784381
12249463a7000
1311008b71ca9
14728b183ba0
153ce284b673
hex2293a41d40

148505894208 has 112 divisors (see below), whose sum is σ = 498948415360. Its totient is φ = 42430252032.

The previous prime is 148505894191. The next prime is 148505894213. The reversal of 148505894208 is 802498505841.

148505894208 is a `hidden beast` number, since 1 + 4 + 8 + 50 + 589 + 4 + 2 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×1485058942082 (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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6126541 + ... + 6150732.

Almost surely, 2148505894208 is an apocalyptic number.

148505894208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

148505894208 is an abundant number, since it is smaller than the sum of its proper divisors (350442521152).

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

148505894208 is a wasteful number, since it uses less digits than its factorization.

148505894208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12277301 (or 12277285 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 148505894208 in words is "one hundred forty-eight billion, five hundred five million, eight hundred ninety-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 12096 12277273 24554546 36831819 49109092 73663638 85940911 98218184 110495457 147327276 171881822 196436368 220990914 257822733 294654552 331486371 343763644 392872736 441981828 515645466 589309104 662972742 687527288 773468199 785745472 883963656 1031290932 1178618208 1325945484 1375054576 1546936398 1767927312 2062581864 2320404597 2357236416 2651890968 2750109152 3093872796 3535854624 4125163728 4640809194 5303781936 5500218304 6187745592 7071709248 8250327456 9281618388 10607563872 12375491184 16500654912 18563236776 21215127744 24750982368 37126473552 49501964736 74252947104 148505894208