Search a number
-
+
148983410322816 = 27319324142119813
BaseRepresentation
bin100001110111111111100111…
…001111111110110110000000
3201112111200020000122110010020
4201313333213033332312000
5124011421011020312231
61244510011151133440
743244460536110506
oct4167774717766600
9645450200573106
10148983410322816
114351a567157363
1214861b96814280
1365190c95c4054
1428b0b9a9c4676
151235601543396
hex877fe73fed80

148983410322816 has 256 divisors, whose sum is σ = 400407199135680. Its totient is φ = 49079490969600.

The previous prime is 148983410322809. The next prime is 148983410322917. The reversal of 148983410322816 is 618223014389841.

It is a self number, because there is not a number n which added to its sum of digits gives 148983410322816.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7519467726 + ... + 7519487538.

Almost surely, 2148983410322816 is an apocalyptic number.

148983410322816 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 148983410322816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200203599567840).

148983410322816 is an abundant number, since it is smaller than the sum of its proper divisors (251423788812864).

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

148983410322816 is a wasteful number, since it uses less digits than its factorization.

148983410322816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20685 (or 20673 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 60.

The spelling of 148983410322816 in words is "one hundred forty-eight trillion, nine hundred eighty-three billion, four hundred ten million, three hundred twenty-two thousand, eight hundred sixteen".