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381096419499481 = 7227888132
BaseRepresentation
bin101011010100110101110110…
…0101101011001110111011001
31211222100110110201112002212111
41112221223230231121313121
5344422340431342440411
63430305140031512321
7143162210353566100
oct12651535455316731
91758313421462774
10381096419499481
1110047a0a170a614
12368ab0579886a1
13134853132cb82a
146a1724513d037
152e0d2d4739721
hex15a9aecb59dd9

381096419499481 has 9 divisors (see below), whose sum is σ = 443316402053631. Its totient is φ = 326653956726552.

The previous prime is 381096419499479. The next prime is 381096419499541. The reversal of 381096419499481 is 184994914690183.

The square root of 381096419499481 is 19521691.

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., 366711967575625 + 14384451923856 = 19149725^2 + 3792684^2 .

It is not a de Polignac number, because 381096419499481 - 21 = 381096419499479 is a prime.

It is a super-2 number, since 2×3810964194994812 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 381096419499398 and 381096419499407.

It is not an unprimeable number, because it can be changed into a prime (381096419499781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 135257431 + ... + 138046243.

It is an arithmetic number, because the mean of its divisors is an integer number (49257378005959).

Almost surely, 2381096419499481 is an apocalyptic number.

381096419499481 is the 19521691-st square number.

381096419499481 is the 9760846-th centered octagonal number.

It is an amenable number.

381096419499481 is a deficient number, since it is larger than the sum of its proper divisors (62219982554150).

381096419499481 is an frugal number, since it uses more digits than its factorization.

381096419499481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5577640 (or 2788820 counting only the distinct ones).

The product of its (nonzero) digits is 483729408, while the sum is 76.

The spelling of 381096419499481 in words is "three hundred eighty-one trillion, ninety-six billion, four hundred nineteen million, four hundred ninety-nine thousand, four hundred eighty-one".

Divisors: 1 7 49 2788813 19521691 136651837 7777477948969 54442345642783 381096419499481