Search a number
-
+
39932196480 = 2734511239293
BaseRepresentation
bin100101001100001001…
…001111011010000000
310211001221110202120000
4211030021033122000
51123240120241410
630202233320000
72612362032621
oct451411173200
9124057422500
1039932196480
1115a31758280
1278a5266000
1339c5002737
141d0b59ba48
15108aa91dc0
hex94c24f680

39932196480 has 640 divisors, whose sum is σ = 156753273600. Its totient is φ = 9607127040.

The previous prime is 39932196467. The next prime is 39932196527. The reversal of 39932196480 is 8469123993.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 136287214 + ... + 136287506.

It is an arithmetic number, because the mean of its divisors is an integer number (244926990).

Almost surely, 239932196480 is an apocalyptic number.

39932196480 is a gapful number since it is divisible by the number (30) 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 39932196480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78376636800).

39932196480 is an abundant number, since it is smaller than the sum of its proper divisors (116821077120).

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

39932196480 is a wasteful number, since it uses less digits than its factorization.

39932196480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 39932196480 in words is "thirty-nine billion, nine hundred thirty-two million, one hundred ninety-six thousand, four hundred eighty".