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148671351840 = 253511113249181
BaseRepresentation
bin1000101001110110000…
…0001100110000100000
3112012202011101012020110
42022131200030300200
54413434331224330
6152144303011320
713512133432314
oct2123540146040
9465664335213
10148671351840
1158062114120
1224991899b40
131103422390b
1472a5133b44
153d02130db0
hex229d80cc20

148671351840 has 192 divisors, whose sum is σ = 515412035712. Its totient is φ = 35722444800.

The previous prime is 148671351811. The next prime is 148671351841. The reversal of 148671351840 is 48153176841.

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

It is a self number, because there is not a number n which added to its sum of digits gives 148671351840.

It is not an unprimeable number, because it can be changed into a prime (148671351841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 472050 + ... + 721230.

It is an arithmetic number, because the mean of its divisors is an integer number (2684437686).

Almost surely, 2148671351840 is an apocalyptic number.

148671351840 is a gapful number since it is divisible by the number (10) 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 148671351840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257706017856).

148671351840 is an abundant number, since it is smaller than the sum of its proper divisors (366740683872).

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

148671351840 is a wasteful number, since it uses less digits than its factorization.

148671351840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249323 (or 249315 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 148671351840 in words is "one hundred forty-eight billion, six hundred seventy-one million, three hundred fifty-one thousand, eight hundred forty".