Search a number
-
+
97376198976 = 2634719141233
BaseRepresentation
bin101101010110000010…
…0101110000101000000
3100022100022111102220000
41122230010232011000
53043411301331401
6112422313520000
710015034014560
oct1325404560500
9308308442800
1097376198976
113832a364601
1216a57113000
13924b055264
1449da7c4da0
1527edc07186
hex16ac12e140

97376198976 has 280 divisors, whose sum is σ = 347254860480. Its totient is φ = 26357280768.

The previous prime is 97376198879. The next prime is 97376198993. The reversal of 97376198976 is 67989167379.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 618856 + ... + 760088.

Almost surely, 297376198976 is an apocalyptic number.

97376198976 is a gapful number since it is divisible by the number (96) 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 97376198976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173627430240).

97376198976 is an abundant number, since it is smaller than the sum of its proper divisors (249878661504).

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

97376198976 is a wasteful number, since it uses less digits than its factorization.

97376198976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141283 (or 141264 counting only the distinct ones).

The product of its digits is 216040608, while the sum is 72.

The spelling of 97376198976 in words is "ninety-seven billion, three hundred seventy-six million, one hundred ninety-eight thousand, nine hundred seventy-six".