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148638238056 = 23357111758411
BaseRepresentation
bin1000101001101110000…
…1111000010101101000
3112012122212001211200000
42022123201320111220
54413402342104211
6152141121143000
713511252114550
oct2123341702550
9465585054600
10148638238056
1158045457260
122498278aa60
131102a3cb569
1472a0994160
153cee28e656
hex229b878568

148638238056 has 384 divisors, whose sum is σ = 551110210560. Its totient is φ = 36335692800.

The previous prime is 148638238043. The next prime is 148638238061. The reversal of 148638238056 is 650832836841.

148638238056 is a `hidden beast` number, since 1 + 486 + 3 + 82 + 3 + 80 + 5 + 6 = 666.

148638238056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1486382380563 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 148638237993 and 148638238011.

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 95 ways as a sum of consecutive naturals, for example, 2515491 + ... + 2573901.

It is an arithmetic number, because the mean of its divisors is an integer number (1435182840).

Almost surely, 2148638238056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148638238056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275555105280).

148638238056 is an abundant number, since it is smaller than the sum of its proper divisors (402471972504).

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

148638238056 is a wasteful number, since it uses less digits than its factorization.

148638238056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58467 (or 58451 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 148638238056 in words is "one hundred forty-eight billion, six hundred thirty-eight million, two hundred thirty-eight thousand, fifty-six".