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148691749248 = 2734710319891
BaseRepresentation
bin1000101001111010111…
…0000000100110000000
3112012210120202111020000
42022132232000212000
54414010041433443
6152150312120000
713512502005060
oct2123656004600
9465716674200
10148691749248
1158072685a89
1224998696000
1311038515ba3
1472a7b233a0
153d03d0e8d3
hex229eb80980

148691749248 has 320 divisors, whose sum is σ = 510654693120. Its totient is φ = 42068782080.

The previous prime is 148691749243. The next prime is 148691749267. The reversal of 148691749248 is 842947196841.

148691749248 is a `hidden beast` number, since 1 + 48 + 69 + 1 + 7 + 492 + 48 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148691749243) 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, 7465383 + ... + 7485273.

It is an arithmetic number, because the mean of its divisors is an integer number (1595795916).

Almost surely, 2148691749248 is an apocalyptic number.

148691749248 is a gapful number since it is divisible by the number (18) 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 148691749248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255327346560).

148691749248 is an abundant number, since it is smaller than the sum of its proper divisors (361962943872).

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

148691749248 is a wasteful number, since it uses less digits than its factorization.

148691749248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20027 (or 20006 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 63.

The spelling of 148691749248 in words is "one hundred forty-eight billion, six hundred ninety-one million, seven hundred forty-nine thousand, two hundred forty-eight".