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238542675443560 = 23544514113397029
BaseRepresentation
bin110110001111010000001011…
…011011101111111101101000
31011021121110100012022002021001
4312033100023123233331220
5222231240344403143220
62203200554154524344
7101150065605132505
oct6617201333577550
91137543305262231
10238542675443560
116a009420547454
12229072034366b4
13a31462988b9a7
1442c97544c04ac
151c8a09822c80a
hexd8f40b6eff68

238542675443560 has 32 divisors (see below), whose sum is σ = 536722265543400. Its totient is φ = 95416848702720.

The previous prime is 238542675443543. The next prime is 238542675443561. The reversal of 238542675443560 is 65344576245832.

It can be written as a sum of positive squares in 4 ways, for example, as 232024120946244 + 6518554497316 = 15232338^2 + 2553146^2 .

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 238542675443492 and 238542675443501.

It is not an unprimeable number, because it can be changed into a prime (238542675443561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11107126 + ... + 24504154.

Almost surely, 2238542675443560 is an apocalyptic number.

238542675443560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

238542675443560 is an abundant number, since it is smaller than the sum of its proper divisors (298179590099840).

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

238542675443560 is a wasteful number, since it uses less digits than its factorization.

238542675443560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13842181 (or 13842177 counting only the distinct ones).

The product of its (nonzero) digits is 580608000, while the sum is 64.

The spelling of 238542675443560 in words is "two hundred thirty-eight trillion, five hundred forty-two billion, six hundred seventy-five million, four hundred forty-three thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 445141 890282 1780564 2225705 3561128 4451410 8902820 13397029 17805640 26794058 53588116 66985145 107176232 133970290 267940580 535881160 5963566886089 11927133772178 23854267544356 29817834430445 47708535088712 59635668860890 119271337721780 238542675443560