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148898536416 = 2534737221797
BaseRepresentation
bin1000101010101100001…
…0110101101111100000
3112020022222212100220000
42022223002311233200
54414421011131131
6152223020220000
713520562451110
oct2125302655740
9466288770800
10148898536416
1158169384273
1224a3599a600
131106c308566
1472c7391040
153d17059ce6
hex22ab0b5be0

148898536416 has 240 divisors, whose sum is σ = 513992910816. Its totient is φ = 41392456704.

The previous prime is 148898536363. The next prime is 148898536417. The reversal of 148898536416 is 614635898841.

148898536416 is a `hidden beast` number, since 1 + 4 + 8 + 8 + 98 + 536 + 4 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148898536417) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 560430 + ... + 782226.

Almost surely, 2148898536416 is an apocalyptic number.

148898536416 is a gapful number since it is divisible by the number (16) 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 148898536416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256996455408).

148898536416 is an abundant number, since it is smaller than the sum of its proper divisors (365094374400).

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

148898536416 is a wasteful number, since it uses less digits than its factorization.

148898536416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221863 (or 221846 counting only the distinct ones).

The product of its digits is 39813120, while the sum is 63.

The spelling of 148898536416 in words is "one hundred forty-eight billion, eight hundred ninety-eight million, five hundred thirty-six thousand, four hundred sixteen".