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148367075472 = 243271143311183
BaseRepresentation
bin1000101000101101011…
…1011110100010010000
3112011221221211100112100
42022023113132202100
54412323432403342
6152054153200400
713501450222230
oct2121327364220
9464857740470
10148367075472
1157a16389850
1224907a00100
1310cb6189525
147276969cc0
153cd5579e4c
hex228b5de890

148367075472 has 240 divisors, whose sum is σ = 529719810048. Its totient is φ = 37640574720.

The previous prime is 148367075413. The next prime is 148367075473. The reversal of 148367075472 is 274570763841.

148367075472 is a `hidden beast` number, since 1 + 4 + 8 + 36 + 70 + 75 + 472 = 666.

It is a super-4 number, since 4×1483670754724 (a number of 46 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (148367075473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 321193 + ... + 632375.

Almost surely, 2148367075472 is an apocalyptic number.

148367075472 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 148367075472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264859905024).

148367075472 is an abundant number, since it is smaller than the sum of its proper divisors (381352734576).

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

148367075472 is a wasteful number, since it uses less digits than its factorization.

148367075472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311258 (or 311249 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 148367075472 in words is "one hundred forty-eight billion, three hundred sixty-seven million, seventy-five thousand, four hundred seventy-two".