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1317499934976 = 283626572
BaseRepresentation
bin10011001011000001000…
…111011001100100000000
311122221200211120021000000
4103023001013121210000
5133041214440404401
62445130124000000
7164120606446101
oct23130107314400
94587624507000
101317499934976
11468826403375
12193410090000
139731684c154
1447aa58043a8
1524410451186
hex132c11d9900

1317499934976 has 189 divisors, whose sum is σ = 3944460892561. Its totient is φ = 439001358336.

The previous prime is 1317499934957. The next prime is 1317499934983. The reversal of 1317499934976 is 6794399947131.

The square root of 1317499934976 is 1147824.

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

1317499934976 is a `hidden beast` number, since 1 + 3 + 1 + 7 + 49 + 9 + 93 + 497 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 858661689600 + 458838245376 = 926640^2 + 677376^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 495858640 + ... + 495861296.

Almost surely, 21317499934976 is an apocalyptic number.

1317499934976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1317499934976 is the 1147824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1317499934976

1317499934976 is an abundant number, since it is smaller than the sum of its proper divisors (2626960957585).

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

1317499934976 is an frugal number, since it uses more digits than its factorization.

1317499934976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5348 (or 2662 counting only the distinct ones).

The product of its digits is 277766496, while the sum is 72.

The spelling of 1317499934976 in words is "one trillion, three hundred seventeen billion, four hundred ninety-nine million, nine hundred thirty-four thousand, nine hundred seventy-six".