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148777664 = 2673131061
BaseRepresentation
bin10001101111000…
…10101011000000
3101100221200120212
420313202223000
5301041341124
622432453252
73454406060
oct1067425300
9340850525
10148777664
1176a87952
12419aa228
1324a91729
1415a8b3a0
15d0dc40e
hex8de2ac0

148777664 has 56 divisors (see below), whose sum is σ = 338803488. Its totient is φ = 63498240.

The previous prime is 148777663. The next prime is 148777691. The reversal of 148777664 is 466777841.

148777664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (148777663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139694 + ... + 140754.

Almost surely, 2148777664 is an apocalyptic number.

148777664 is a gapful number since it is divisible by the number (14) 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 148777664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169401744).

148777664 is an abundant number, since it is smaller than the sum of its proper divisors (190025824).

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

148777664 is a wasteful number, since it uses less digits than its factorization.

148777664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393 (or 1383 counting only the distinct ones).

The product of its digits is 1580544, while the sum is 50.

The square root of 148777664 is about 12197.4449783551. Note that the first 3 decimals coincide. The cubic root of 148777664 is about 529.8820955243.

The spelling of 148777664 in words is "one hundred forty-eight million, seven hundred seventy-seven thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 313 448 626 1061 1252 2122 2191 2504 4244 4382 5008 7427 8488 8764 10016 14854 16976 17528 20032 29708 33952 35056 59416 67904 70112 118832 140224 237664 332093 475328 664186 1328372 2324651 2656744 4649302 5313488 9298604 10626976 18597208 21253952 37194416 74388832 148777664