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8074148001348 = 22311134705214453
BaseRepresentation
bin111010101111110100010…
…1110010011011001000100
31001120212210020221010212110
41311133220232103121010
52024241323342020343
625101113513021020
71462223625426252
oct165375056233104
931525706833773
108074148001348
1126332550660a0
12aa49a79b4770
1346750950c480
141dcb101335d2
15e00617d3833
hex757e8b93644

8074148001348 has 48 divisors (see below), whose sum is σ = 22133328791616. Its totient is φ = 2258502936960.

The previous prime is 8074148001331. The next prime is 8074148001349. The reversal of 8074148001348 is 8431008414708.

It is a Smith number, since the sum of its digits (48) 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 = 8074148001297 and 8074148001306.

It is not an unprimeable number, because it can be changed into a prime (8074148001349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2352605511 + ... + 2352608942.

It is an arithmetic number, because the mean of its divisors is an integer number (461111016492).

Almost surely, 28074148001348 is an apocalyptic number.

It is an amenable number.

8074148001348 is an abundant number, since it is smaller than the sum of its proper divisors (14059180790268).

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

8074148001348 is a wasteful number, since it uses less digits than its factorization.

8074148001348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4705214484 (or 4705214482 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 48.

The spelling of 8074148001348 in words is "eight trillion, seventy-four billion, one hundred forty-eight million, one thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 429 572 858 1716 4705214453 9410428906 14115643359 18820857812 28231286718 51757358983 56462573436 61167787889 103514717966 122335575778 155272076949 183503363667 207029435932 244671151556 310544153898 367006727334 621088307796 672845666779 734013454668 1345691333558 2018537000337 2691382667116 4037074000674 8074148001348