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1346472461376 = 26327269072
BaseRepresentation
bin10011100110000000000…
…000110100010001000000
311202201110222111002120100
4103212000000310101000
5134030033422231001
62510321053442400
7166164562040100
oct23460000642100
94681428432510
101346472461376
1147a043669269
12198b56aa0400
1399c830a7cb3
14492535cd200
1525058c6d586
hex13980034440

1346472461376 has 189 divisors, whose sum is σ = 4490179708599. Its totient is φ = 384650719488.

The previous prime is 1346472461329. The next prime is 1346472461377. The reversal of 1346472461376 is 6731642746431.

The square root of 1346472461376 is 1160376.

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

1346472461376 is a `hidden beast` number, since 1 + 3 + 46 + 4 + 72 + 461 + 3 + 76 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1346472461377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 194939715 + ... + 194946621.

Almost surely, 21346472461376 is an apocalyptic number.

1346472461376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1346472461376 is the 1160376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1346472461376

1346472461376 is an abundant number, since it is smaller than the sum of its proper divisors (3143707247223).

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

1346472461376 is an frugal number, since it uses more digits than its factorization.

1346472461376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13846 (or 6919 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 54.

The spelling of 1346472461376 in words is "one trillion, three hundred forty-six billion, four hundred seventy-two million, four hundred sixty-one thousand, three hundred seventy-six".