Search a number
-
+
153026241984 = 26347111920177
BaseRepresentation
bin1000111010000100010…
…0110010010111000000
3112121222122212112110000
42032201010302113000
510001344204220414
6154144351240000
714025063411120
oct2164104622700
9477878775400
10153026241984
1159997362590
12257a8219000
13115795212a5
147599668c80
153ea9608b09
hex23a11325c0

153026241984 has 560 divisors, whose sum is σ = 595344625920. Its totient is φ = 37653258240.

The previous prime is 153026241967. The next prime is 153026241989. The reversal of 153026241984 is 489142620351.

153026241984 is a `hidden beast` number, since 1 + 5 + 3 + 0 + 2 + 624 + 19 + 8 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153026241989) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7574104 + ... + 7594280.

Almost surely, 2153026241984 is an apocalyptic number.

153026241984 is a gapful number since it is divisible by the number (14) 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 153026241984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297672312960).

153026241984 is an abundant number, since it is smaller than the sum of its proper divisors (442318383936).

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

153026241984 is a wasteful number, since it uses less digits than its factorization.

153026241984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20238 (or 20219 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 153026241984 in words is "one hundred fifty-three billion, twenty-six million, two hundred forty-one thousand, nine hundred eighty-four".