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42676326074944 = 268165892
BaseRepresentation
bin10011011010000010110110…
…10000011000101001000000
312121002211001112121021001101
421231001123100120221000
521043202103433344234
6230433122240144144
711663156100244462
oct1155013320305100
9177084045537041
1042676326074944
1112663a23555231
124952b5b308054
131aa748b6c9a93
14a7778c074132
154e0198720814
hex26d05b418a40

42676326074944 has 21 divisors (see below), whose sum is σ = 84685938261897. Its totient is φ = 21338136906624.

The previous prime is 42676326074927. The next prime is 42676326074953. The reversal of 42676326074944 is 44947062367624.

It is a happy number.

The square root of 42676326074944 is 6532712.

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., 2865273914944 + 39811052160000 = 1692712^2 + 6309600^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 51853402 + ... + 52669990.

It is an arithmetic number, because the mean of its divisors is an integer number (4032663726757).

Almost surely, 242676326074944 is an apocalyptic number.

42676326074944 is the 6532712-nd square number.

It is an amenable number.

42676326074944 is a deficient number, since it is larger than the sum of its proper divisors (42009612186953).

42676326074944 is an frugal number, since it uses more digits than its factorization.

42676326074944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633190 (or 816591 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 64.

42676326074944 divided by its sum of digits (64) gives a square (666817594921 = 8165892).

The spelling of 42676326074944 in words is "forty-two trillion, six hundred seventy-six billion, three hundred twenty-six million, seventy-four thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 32 64 816589 1633178 3266356 6532712 13065424 26130848 52261696 666817594921 1333635189842 2667270379684 5334540759368 10669081518736 21338163037472 42676326074944