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148367043552 = 253721323372851
BaseRepresentation
bin1000101000101101011…
…1010110101111100000
3112011221221202201202010
42022023113112233200
54412323430343202
6152054152352520
713501450030200
oct2121327265740
9464857681663
10148367043552
1157a16367872
12249079a5740
1310cb6177b40
14727695c400
153cd557076c
hex228b5d6be0

148367043552 has 576 divisors, whose sum is σ = 523055522304. Its totient is φ = 36404121600.

The previous prime is 148367043547. The next prime is 148367043571. The reversal of 148367043552 is 255340763841.

148367043552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1483670435522 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52038927 + ... + 52041777.

It is an arithmetic number, because the mean of its divisors is an integer number (908082504).

Almost surely, 2148367043552 is an apocalyptic number.

148367043552 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 148367043552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261527761152).

148367043552 is an abundant number, since it is smaller than the sum of its proper divisors (374688478752).

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

148367043552 is a wasteful number, since it uses less digits than its factorization.

148367043552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2951 (or 2936 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 148367043552 in words is "one hundred forty-eight billion, three hundred sixty-seven million, forty-three thousand, five hundred fifty-two".