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9058122477768 = 2337131012406577
BaseRepresentation
bin1000001111010000001000…
…1011000011000011001000
31012001221121010111121210010
42003310002023003003020
52141402013323242033
631133124412551520
71623266501452230
oct203640213030310
935057533447703
109058122477768
112982589aa2a21
121023636a825a0
1350923c656480
142345b6082cc0
1510a9511b1863
hex83d022c30c8

9058122477768 has 192 divisors, whose sum is σ = 28149899460480. Its totient is φ = 2365296537600.

The previous prime is 9058122477697. The next prime is 9058122477769. The reversal of 9058122477768 is 8677742218509.

It is a junction number, because it is equal to n+sod(n) for n = 9058122477699 and 9058122477708.

It is not an unprimeable number, because it can be changed into a prime (9058122477769) 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, 22075696 + ... + 22482272.

It is an arithmetic number, because the mean of its divisors is an integer number (146614059690).

Almost surely, 29058122477768 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 9058122477768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14074949730240).

9058122477768 is an abundant number, since it is smaller than the sum of its proper divisors (19091776982712).

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

9058122477768 is a wasteful number, since it uses less digits than its factorization.

9058122477768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406808 (or 406703 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 66.

The spelling of 9058122477768 in words is "nine trillion, fifty-eight billion, one hundred twenty-two million, four hundred seventy-seven thousand, seven hundred sixty-eight".