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970131661920 = 253254315799793
BaseRepresentation
bin11100001111000000101…
…10100110010001100000
310102202002010212122022100
432013200112212101200
5111343312201140140
62021401120210400
7130042524032121
oct16074026462140
93382063778270
10970131661920
11344481039473
12138027169a00
1370638281805
1434d516b2048
151a37e498530
hexe1e05a6460

970131661920 has 288 divisors, whose sum is σ = 3409175401632. Its totient is φ = 251073478656.

The previous prime is 970131661903. The next prime is 970131661927. The reversal of 970131661920 is 29166131079.

970131661920 is a `hidden beast` number, since 9 + 7 + 0 + 1 + 3 + 1 + 6 + 619 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×9701316619202 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (970131661927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9671544 + ... + 9771336.

It is an arithmetic number, because the mean of its divisors is an integer number (11837414589).

Almost surely, 2970131661920 is an apocalyptic number.

970131661920 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 970131661920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1704587700816).

970131661920 is an abundant number, since it is smaller than the sum of its proper divisors (2439043739712).

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

970131661920 is a wasteful number, since it uses less digits than its factorization.

970131661920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100014 (or 100003 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

Adding to 970131661920 its reverse (29166131079), we get a palindrome (999297792999).

The spelling of 970131661920 in words is "nine hundred seventy billion, one hundred thirty-one million, six hundred sixty-one thousand, nine hundred twenty".