Search a number
-
+
148404778622500 = 22542436432
BaseRepresentation
bin100001101111100100101110…
…000111001101111000100100
3201110110100200012000111011211
4201233210232013031320210
5123422430441311410000
61243344114125441204
743154614521602341
oct4157445607157044
9643410605014154
10148404778622500
114331712769a674
1214789a10110204
1364a668397106a
142890b886457c8
1512255376237ba
hex86f92e1cde24

148404778622500 has 45 divisors (see below), whose sum is σ = 324532901893431. Its totient is φ = 59361667806000.

The previous prime is 148404778622473. The next prime is 148404778622549. The reversal of 148404778622500 is 5226877404841.

The square root of 148404778622500 is 12182150.

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

148404778622500 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 2 ways, for example, as 11634934644004 + 136769843978496 = 3411002^2 + 11694864^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 608985679 + ... + 609229321.

Almost surely, 2148404778622500 is an apocalyptic number.

148404778622500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

148404778622500 is the 12182150-th square number.

It is an amenable number.

148404778622500 is an abundant number, since it is smaller than the sum of its proper divisors (176128123270931).

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

148404778622500 is an frugal number, since it uses more digits than its factorization.

148404778622500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487310 (or 243650 counting only the distinct ones).

The product of its (nonzero) digits is 24084480, while the sum is 58.

The spelling of 148404778622500 in words is "one hundred forty-eight trillion, four hundred four billion, seven hundred seventy-eight million, six hundred twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1250 2500 243643 487286 974572 1218215 2436430 4872860 6091075 12182150 24364300 30455375 60910750 121821500 152276875 304553750 609107500 59361911449 118723822898 237447645796 296809557245 593619114490 1187238228980 1484047786225 2968095572450 5936191144900 7420238931125 14840477862250 29680955724500 37101194655625 74202389311250 148404778622500