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131857812480 = 2103529296017
BaseRepresentation
bin111101011001101010…
…1101000110000000000
3110121100101201220020110
41322303111220300000
54130021044444410
6140324042311320
712345362625162
oct1726325506000
9417311656213
10131857812480
1150a14330149
122167aab8540
13c584a56c64
14654c110932
15366aedb720
hex1eb3568c00

131857812480 has 176 divisors, whose sum is σ = 436283169120. Its totient is φ = 33949483008.

The previous prime is 131857812461. The next prime is 131857812481. The reversal of 131857812480 is 84218758131.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (131857812481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 297432 + ... + 593448.

Almost surely, 2131857812480 is an apocalyptic number.

131857812480 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 131857812480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218141584560).

131857812480 is an abundant number, since it is smaller than the sum of its proper divisors (304425356640).

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

131857812480 is a wasteful number, since it uses less digits than its factorization.

131857812480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296074 (or 296056 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 48.

The spelling of 131857812480 in words is "one hundred thirty-one billion, eight hundred fifty-seven million, eight hundred twelve thousand, four hundred eighty".