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148196610432 = 27321311098923
BaseRepresentation
bin1000101000000100110…
…1001101000110000000
3112011112002001211110100
42022001031031012000
54412001313013212
6152025223402400
713464310255503
oct2120115150600
9464462054410
10148196610432
1157939139952
122487a8b3400
1310c89a73640
14725c07513a
153cc5606bdc
hex228134d180

148196610432 has 192 divisors, whose sum is σ = 459720752400. Its totient is φ = 45552734208.

The previous prime is 148196610427. The next prime is 148196610547. The reversal of 148196610432 is 234016691841.

148196610432 is a `hidden beast` number, since 1 + 481 + 9 + 66 + 104 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16603923 + ... + 16612845.

Almost surely, 2148196610432 is an apocalyptic number.

148196610432 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 148196610432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229860376200).

148196610432 is an abundant number, since it is smaller than the sum of its proper divisors (311524141968).

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

148196610432 is a wasteful number, since it uses less digits than its factorization.

148196610432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10065 (or 10050 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 148196610432 in words is "one hundred forty-eight billion, one hundred ninety-six million, six hundred ten thousand, four hundred thirty-two".