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378442006951 = 15712012007043
BaseRepresentation
bin1011000000111001110…
…01101100000110100111
31100011211021101212001211
411200130321230012213
522200022123210301
6445504233332251
736225100661221
oct5403471540647
91304737355054
10378442006951
11136550713118
1261417567087
13298c1247b38
1414460ddd411
159c9deca051
hex581ce6c1a7

378442006951 has 8 divisors (see below), whose sum is σ = 381169768304. Its totient is φ = 375718262400.

The previous prime is 378442006931. The next prime is 378442006967. The reversal of 378442006951 is 159600244873.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 378442006951 - 25 = 378442006919 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 378442006895 and 378442006904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378442006931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 814965 + ... + 1192078.

It is an arithmetic number, because the mean of its divisors is an integer number (47646221038).

It is a 2-persistent number, because it is pandigital, and so is 2⋅378442006951 = 756884013902, but 3⋅378442006951 = 1135326020853 is not.

Almost surely, 2378442006951 is an apocalyptic number.

378442006951 is a deficient number, since it is larger than the sum of its proper divisors (2727761353).

378442006951 is a wasteful number, since it uses less digits than its factorization.

378442006951 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008401.

The product of its (nonzero) digits is 1451520, while the sum is 49.

The spelling of 378442006951 in words is "three hundred seventy-eight billion, four hundred forty-two million, six thousand, nine hundred fifty-one".

Divisors: 1 157 1201 188557 2007043 315105751 2410458643 378442006951