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148747274208 = 253313293114731
BaseRepresentation
bin1000101010001000000…
…1110100011111100000
3112012221110020110011000
42022202001310133200
54414113300233313
6152200014152000
713514044653321
oct2124201643740
9465843213130
10148747274208
11580a0a5a785
12249b31b2600
1311046b86cb0
1472b1258448
153d08b2b673
hex22a20747e0

148747274208 has 384 divisors, whose sum is σ = 498955161600. Its totient is φ = 42761779200.

The previous prime is 148747274171. The next prime is 148747274227. The reversal of 148747274208 is 802472747841.

148747274208 is a `hidden beast` number, since 1 + 4 + 87 + 472 + 74 + 20 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 63 ways as a sum of consecutive naturals, for example, 10090203 + ... + 10104933.

It is an arithmetic number, because the mean of its divisors is an integer number (1299362400).

Almost surely, 2148747274208 is an apocalyptic number.

148747274208 is a gapful number since it is divisible by the number (18) 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 148747274208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249477580800).

148747274208 is an abundant number, since it is smaller than the sum of its proper divisors (350207887392).

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

148747274208 is a wasteful number, since it uses less digits than its factorization.

148747274208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14823 (or 14809 counting only the distinct ones).

The product of its (nonzero) digits is 5619712, while the sum is 54.

The spelling of 148747274208 in words is "one hundred forty-eight billion, seven hundred forty-seven million, two hundred seventy-four thousand, two hundred eight".