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8435242425348 = 2233274847284173
BaseRepresentation
bin111101010111111101110…
…1000001101110000000100
31002212101211112210110212000
41322233323220031300010
52101200334030102343
625535032531425300
71530266112410064
oct172577350156004
932771745713760
108435242425348
1127624034963a2
12b42981755230
13492594745c0b
142123a72153a4
15e9647828ed3
hex7abfba0dc04

8435242425348 has 48 divisors (see below), whose sum is σ = 21869303554560. Its totient is φ = 2811727350432.

The previous prime is 8435242425301. The next prime is 8435242425409.

8435242425348 is a `hidden beast` number, since 8 + 4 + 3 + 52 + 4 + 242 + 5 + 348 = 666.

8435242425348 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×84352424253482 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 8435242425294 and 8435242425303.

It is an unprimeable number.

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, 29541390 + ... + 29825562.

It is an arithmetic number, because the mean of its divisors is an integer number (455610490720).

Almost surely, 28435242425348 is an apocalyptic number.

It is an amenable number.

8435242425348 is an abundant number, since it is smaller than the sum of its proper divisors (13434061129212).

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

8435242425348 is a wasteful number, since it uses less digits than its factorization.

8435242425348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559033 (or 559025 counting only the distinct ones).

The product of its digits is 29491200, while the sum is 54.

The spelling of 8435242425348 in words is "eight trillion, four hundred thirty-five billion, two hundred forty-two million, four hundred twenty-five thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 274847 284173 549694 568346 824541 852519 1099388 1136692 1649082 1705038 2473623 2557557 3298164 3410076 4947246 5115114 7420869 7672671 9894492 10230228 14841738 15345342 29683476 30690684 78104096531 156208193062 234312289593 312416386124 468624579186 702936868779 937249158372 1405873737558 2108810606337 2811747475116 4217621212674 8435242425348