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148835470464 = 27354785091
BaseRepresentation
bin1000101010011101001…
…0010000110010000000
3112020011121012021200000
42022213102100302000
54414303340023324
6152212444400000
713516165424262
oct2124722206200
9466147167600
10148835470464
115813681994a
1224a18846000
131105c226c25
1472bcc55b32
153d1174d9c9
hex22a7490c80

148835470464 has 96 divisors (see below), whose sum is σ = 444152239440. Its totient is φ = 49611813120.

The previous prime is 148835470451. The next prime is 148835470481. The reversal of 148835470464 is 464074538841.

148835470464 is a `hidden beast` number, since 1 + 4 + 88 + 35 + 4 + 70 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 148835470464.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2361442 + ... + 2423649.

Almost surely, 2148835470464 is an apocalyptic number.

It is an amenable number.

148835470464 is an abundant number, since it is smaller than the sum of its proper divisors (295316768976).

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

148835470464 is an frugal number, since it uses more digits than its factorization.

148835470464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4785120 (or 4785096 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 148835470464 in words is "one hundred forty-eight billion, eight hundred thirty-five million, four hundred seventy thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 864 972 1152 1296 1728 1944 2592 3456 3888 5184 7776 10368 15552 31104 4785091 9570182 14355273 19140364 28710546 38280728 43065819 57421092 76561456 86131638 114842184 129197457 153122912 172263276 229684368 258394914 306245824 344526552 387592371 459368736 516789828 612491648 689053104 775184742 918737472 1033579656 1162777113 1378106208 1550369484 1837474944 2067159312 2325554226 2756212416 3100738968 4134318624 4651108452 5512424832 6201477936 8268637248 9302216904 12402955872 16537274496 18604433808 24805911744 37208867616 49611823488 74417735232 148835470464