Search a number
-
+
47698878240 = 253651383379
BaseRepresentation
bin101100011011000100…
…110001111100100000
311120010012212002000000
4230123010301330200
51240141403100430
633525040300000
73306010526646
oct543304617440
9146105762000
1047698878240
1119257856232
1292b2311600
1346620c4110
142446c8d196
151392850e60
hexb1b131f20

47698878240 has 672 divisors, whose sum is σ = 184630259520. Its totient is φ = 11569195008.

The previous prime is 47698878211. The next prime is 47698878247. The reversal of 47698878240 is 4287889674.

47698878240 is a `hidden beast` number, since 476 + 9 + 8 + 87 + 82 + 4 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47698878247) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 125854371 + ... + 125854749.

It is an arithmetic number, because the mean of its divisors is an integer number (274747410).

Almost surely, 247698878240 is an apocalyptic number.

47698878240 is a gapful number since it is divisible by the number (40) 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 47698878240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92315129760).

47698878240 is an abundant number, since it is smaller than the sum of its proper divisors (136931381280).

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

47698878240 is a wasteful number, since it uses less digits than its factorization.

47698878240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 47698878240 in words is "forty-seven billion, six hundred ninety-eight million, eight hundred seventy-eight thousand, two hundred forty".