Search a number
-
+
148408473136704 = 263111731711979533
BaseRepresentation
bin100001101111101000001010…
…010100101010111001000000
3201110110201012122220020220020
4201233220022110222321000
5123423011023110333304
61243345524504013440
743155105212500644
oct4157501224527100
9643421178806806
10148408473136704
11433187530a28a0
121478a681461280
1364a6b221c3a41
142891019198c24
1512256a1b545d9
hex86fa0a52ae40

148408473136704 has 896 divisors, whose sum is σ = 477243779088384. Its totient is φ = 40175321088000.

The previous prime is 148408473136691. The next prime is 148408473136723. The reversal of 148408473136704 is 407631374804841.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15567861922 + ... + 15567871454.

It is an arithmetic number, because the mean of its divisors is an integer number (532638146304).

Almost surely, 2148408473136704 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 148408473136704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238621889544192).

148408473136704 is an abundant number, since it is smaller than the sum of its proper divisors (328835305951680).

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

148408473136704 is a wasteful number, since it uses less digits than its factorization.

148408473136704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9875 (or 9865 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 60.

The spelling of 148408473136704 in words is "one hundred forty-eight trillion, four hundred eight billion, four hundred seventy-three million, one hundred thirty-six thousand, seven hundred four".