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47026122440 = 235112611491069
BaseRepresentation
bin101011110010111110…
…011010111011001000
311111101022221112112112
4223302332122323020
51232302141404230
633334205001452
73253231305533
oct536276327310
9144338845475
1047026122440
1118a42024900
129144b53288
13458590356b
1423c17a7a1a
151353760d95
hexaf2f9aec8

47026122440 has 192 divisors, whose sum is σ = 119113470000. Its totient is φ = 16691558400.

The previous prime is 47026122439. The next prime is 47026122443. The reversal of 47026122440 is 4422162074.

It can be written as a sum of positive squares in 8 ways, for example, as 1477172356 + 45548950084 = 38434^2 + 213422^2 .

It is a super-2 number, since 2×470261224402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 47026122397 and 47026122406.

It is not an unprimeable number, because it can be changed into a prime (47026122443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43990226 + ... + 43991294.

Almost surely, 247026122440 is an apocalyptic number.

47026122440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47026122440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59556735000).

47026122440 is an abundant number, since it is smaller than the sum of its proper divisors (72087347560).

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

47026122440 is a wasteful number, since it uses less digits than its factorization.

47026122440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 32.

The spelling of 47026122440 in words is "forty-seven billion, twenty-six million, one hundred twenty-two thousand, four hundred forty".