Search a number
-
+
1031977397880 = 233251113312932207
BaseRepresentation
bin11110000010001101010…
…01010110111001111000
310122122201021112112210200
433001012221112321320
5113401442203213010
62110030041042200
7134362235102202
oct17010651267170
93578637475720
101031977397880
11368728379250
12148007186360
1376413223350
1437d3b345772
151bc9dc8acc0
hexf046a56e78

1031977397880 has 768 divisors, whose sum is σ = 4083114147840. Its totient is φ = 222618931200.

The previous prime is 1031977397863. The next prime is 1031977397881. The reversal of 1031977397880 is 887937791301.

1031977397880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031977397881) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 467591737 + ... + 467593943.

It is an arithmetic number, because the mean of its divisors is an integer number (5316554880).

Almost surely, 21031977397880 is an apocalyptic number.

1031977397880 is a gapful number since it is divisible by the number (10) 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 1031977397880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2041557073920).

1031977397880 is an abundant number, since it is smaller than the sum of its proper divisors (3051136749960).

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

1031977397880 is a wasteful number, since it uses less digits than its factorization.

1031977397880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2572 (or 2565 counting only the distinct ones).

The product of its (nonzero) digits is 16003008, while the sum is 63.

The spelling of 1031977397880 in words is "one trillion, thirty-one billion, nine hundred seventy-seven million, three hundred ninety-seven thousand, eight hundred eighty".