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148831704000 = 26325374761103
BaseRepresentation
bin1000101010011100001…
…1111001001111000000
3112020011100002221001100
42022213003321033000
54414301404012000
6152212231534400
713516121416320
oct2124703711700
9466140087040
10148831704000
1158134687071
1224a1752a400
131105b508755
1472bc555280
153d11257a00
hex22a70f93c0

148831704000 has 1344 divisors, whose sum is σ = 637716897792. Its totient is φ = 32431104000.

The previous prime is 148831703981. The next prime is 148831704067. The reversal of 148831704000 is 407138841.

148831704000 is a `hidden beast` number, since 1 + 4 + 8 + 83 + 170 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×1488317040002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 1444967949 + ... + 1444968051.

Almost surely, 2148831704000 is an apocalyptic number.

148831704000 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 148831704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318858448896).

148831704000 is an abundant number, since it is smaller than the sum of its proper divisors (488885193792).

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

148831704000 is a wasteful number, since it uses less digits than its factorization.

148831704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 148831704000 in words is "one hundred forty-eight billion, eight hundred thirty-one million, seven hundred four thousand".