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148055257152 = 26321171449733
BaseRepresentation
bin1000100111100011000…
…1111111000001000000
3112011011020002100012200
42021320301333001000
54411204121212102
6152003213553200
713460642631015
oct2117061770100
9464136070180
10148055257152
1157876373060
122483b4a5800
1310c666b134a
14724739b70c
153cb7ed451c
hex2278c7f040

148055257152 has 336 divisors, whose sum is σ = 471161059200. Its totient is φ = 44074598400.

The previous prime is 148055257123. The next prime is 148055257159. The reversal of 148055257152 is 251752550841.

It is a happy number.

148055257152 is a `hidden beast` number, since 1 + 4 + 8 + 0 + 5 + 525 + 71 + 52 = 666.

It is a super-2 number, since 2×1480552571522 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 148055257098 and 148055257107.

It is not an unprimeable number, because it can be changed into a prime (148055257159) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 201984978 + ... + 201985710.

Almost surely, 2148055257152 is an apocalyptic number.

148055257152 is a gapful number since it is divisible by the number (12) 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 148055257152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235580529600).

148055257152 is an abundant number, since it is smaller than the sum of its proper divisors (323105802048).

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

148055257152 is a wasteful number, since it uses less digits than its factorization.

148055257152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 560000, while the sum is 45.

The spelling of 148055257152 in words is "one hundred forty-eight billion, fifty-five million, two hundred fifty-seven thousand, one hundred fifty-two".