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10341107336768 = 261344549279001
BaseRepresentation
bin1001011001111011101000…
…0001111000011001000000
31100121121012112212100112212
42112132322001320121000
52323412041434234033
633554350015041252
72115056165021555
oct226367201703100
940547175770485
1010341107336768
11332770355490a
1211b0213b10228
135a0215588930
1427a72592aa2c
1512dee141d748
hex967ba078640

10341107336768 has 56 divisors (see below), whose sum is σ = 22099720519800. Its totient is φ = 4772694528000.

The previous prime is 10341107336767. The next prime is 10341107336821. The reversal of 10341107336768 is 86763370114301.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 630105739264 + 9711001597504 = 793792^2 + 3116248^2 .

It is not an unprimeable number, because it can be changed into a prime (10341107336767) 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, 36925268 + ... + 37204268.

It is an arithmetic number, because the mean of its divisors is an integer number (394637866425).

Almost surely, 210341107336768 is an apocalyptic number.

It is an amenable number.

10341107336768 is an abundant number, since it is smaller than the sum of its proper divisors (11758613183032).

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

10341107336768 is a wasteful number, since it uses less digits than its factorization.

10341107336768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323575 (or 323565 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 50.

The spelling of 10341107336768 in words is "ten trillion, three hundred forty-one billion, one hundred seven million, three hundred thirty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 44549 89098 178196 279001 356392 558002 579137 712784 1116004 1158274 1425568 2232008 2316548 2851136 3627013 4464016 4633096 7254026 8928032 9266192 14508052 17856064 18532384 29016104 37064768 58032208 116064416 232128832 12429215549 24858431098 49716862196 99433724392 161579802137 198867448784 323159604274 397734897568 646319208548 795469795136 1292638417096 2585276834192 5170553668384 10341107336768