Search a number
-
+
96981071040 = 2633575992677
BaseRepresentation
bin101101001010010000…
…1011011010011000000
3100021022202222212021000
41122110201123103000
53042104123233130
6112315200532000
710002165334230
oct1322441332300
9307282885230
1096981071040
1138147317097
1216966921000
1391b722b449
1449a012bcc0
1527c91a7260
hex169485b4c0

96981071040 has 448 divisors, whose sum is σ = 391802112000. Its totient is φ = 22121828352.

The previous prime is 96981071039. The next prime is 96981071059. The reversal of 96981071040 is 4017018969.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36226182 + ... + 36228858.

Almost surely, 296981071040 is an apocalyptic number.

96981071040 is a gapful number since it is divisible by the number (90) 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 96981071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195901056000).

96981071040 is an abundant number, since it is smaller than the sum of its proper divisors (294821040960).

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

96981071040 is a wasteful number, since it uses less digits than its factorization.

96981071040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3309 (or 3293 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 96981071040 in words is "ninety-six billion, nine hundred eighty-one million, seventy-one thousand, forty".