Search a number
-
+
97888158144 = 26327613371181
BaseRepresentation
bin101101100101010010…
…1101100000111000000
3100100122222211122211200
41123022211230013000
53100433332030034
6112545202541200
710033521421110
oct1331245540700
9310588748750
1097888158144
113857234a057
1216b7a667800
13930013688a
144a487b1040
15282db33a99
hex16ca96c1c0

97888158144 has 336 divisors, whose sum is σ = 327162054336. Its totient is φ = 27404697600.

The previous prime is 97888158113. The next prime is 97888158149. The reversal of 97888158144 is 44185188879.

97888158144 is a `hidden beast` number, since 9 + 7 + 8 + 8 + 8 + 1 + 581 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97888158149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82885234 + ... + 82886414.

Almost surely, 297888158144 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 97888158144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163581027168).

97888158144 is an abundant number, since it is smaller than the sum of its proper divisors (229273896192).

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

97888158144 is a wasteful number, since it uses less digits than its factorization.

97888158144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1604 (or 1591 counting only the distinct ones).

The product of its digits is 20643840, while the sum is 63.

The spelling of 97888158144 in words is "ninety-seven billion, eight hundred eighty-eight million, one hundred fifty-eight thousand, one hundred forty-four".