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1197545016976 = 2472114172192
BaseRepresentation
bin10001011011010011001…
…111101100111010010000
311020111001222020001101021
4101123103033230322100
5124110033011020401
62314051121445224
7152343165456100
oct21332317547220
94214058201337
101197545016976
1142196aa40000
121741134a0814
1388c0aaba829
1441d66475200
152123e4032a1
hex116d33ece90

1197545016976 has 675 divisors, whose sum is σ = 3328592496345. Its totient is φ = 416018211840.

The previous prime is 1197545016923. The next prime is 1197545016977. The reversal of 1197545016976 is 6796105457911.

The square root of 1197545016976 is 1094324.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 932344736400 + 265200280576 = 965580^2 + 514976^2 .

It is a super-2 number, since 2×11975450169762 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1197545016977) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 63028685095 + ... + 63028685113.

Almost surely, 21197545016976 is an apocalyptic number.

1197545016976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1197545016976 is the 1094324-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1197545016976

1197545016976 is an abundant number, since it is smaller than the sum of its proper divisors (2131047479369).

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

1197545016976 is an equidigital number, since it uses as much as digits as its factorization.

1197545016976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 14288400, while the sum is 61.

The spelling of 1197545016976 in words is "one trillion, one hundred ninety-seven billion, five hundred forty-five million, sixteen thousand, nine hundred seventy-six".