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34269570048 = 2103729179307
BaseRepresentation
bin11111111010101000…
…000010010000000000
310021110022020112102010
4133322220002100000
51030141002220143
623424311452520
72322142352640
oct377250022000
9107408215363
1034269570048
111359630821a
126784987140
133301abb9cc
1419314d0520
15d5889ba33
hex7faa02400

34269570048 has 352 divisors, whose sum is σ = 108946252800. Its totient is φ = 9370238976.

The previous prime is 34269569993. The next prime is 34269570067. The reversal of 34269570048 is 84007596243.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 34269569979 and 34269570006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111627111 + ... + 111627417.

It is an arithmetic number, because the mean of its divisors is an integer number (309506400).

Almost surely, 234269570048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34269570048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54473126400).

34269570048 is an abundant number, since it is smaller than the sum of its proper divisors (74676682752).

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

34269570048 is a wasteful number, since it uses less digits than its factorization.

34269570048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 34269570048 in words is "thirty-four billion, two hundred sixty-nine million, five hundred seventy thousand, forty-eight".