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148962453120 = 27325137128019
BaseRepresentation
bin1000101010111011011…
…0101010011010000000
3112020111110010200010100
42022232312222122000
54420033341444440
6152233222202400
713522266650145
oct2125666523200
9466443120110
10148962453120
11581a146a898
1224a53283400
131107c6271b0
1472d1a6c3cc
153d1c983230
hex22aedaa680

148962453120 has 384 divisors, whose sum is σ = 561776342400. Its totient is φ = 36149944320.

The previous prime is 148962453103. The next prime is 148962453197. The reversal of 148962453120 is 21354269841.

148962453120 is a `hidden beast` number, since 1 + 4 + 8 + 9 + 624 + 5 + 3 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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, 5302471 + ... + 5330489.

It is an arithmetic number, because the mean of its divisors is an integer number (1462959225).

Almost surely, 2148962453120 is an apocalyptic number.

148962453120 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 148962453120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280888171200).

148962453120 is an abundant number, since it is smaller than the sum of its proper divisors (412813889280).

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

148962453120 is a wasteful number, since it uses less digits than its factorization.

148962453120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28128 (or 28113 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 148962453120 in words is "one hundred forty-eight billion, nine hundred sixty-two million, four hundred fifty-three thousand, one hundred twenty".