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96826419690 = 235711137145413
BaseRepresentation
bin101101000101101001…
…1011110100111101010
3100020220222222202111020
41122023103132213222
53041300030412230
6112251554113310
76665306662530
oct1321323364752
9306828882436
1096826419690
1138077a98260
1216922b7b836
139191191380
144987792150
1527ba809810
hex168b4de9ea

96826419690 has 256 divisors, whose sum is σ = 316412780544. Its totient is φ = 18310118400.

The previous prime is 96826419671. The next prime is 96826419727. The reversal of 96826419690 is 9691462869.

It is a super-3 number, since 3×968264196903 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2109424 + ... + 2154836.

It is an arithmetic number, because the mean of its divisors is an integer number (1235987424).

Almost surely, 296826419690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96826419690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158206390272).

96826419690 is an abundant number, since it is smaller than the sum of its proper divisors (219586360854).

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

96826419690 is a wasteful number, since it uses less digits than its factorization.

96826419690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45525.

The product of its (nonzero) digits is 10077696, while the sum is 60.

The spelling of 96826419690 in words is "ninety-six billion, eight hundred twenty-six million, four hundred nineteen thousand, six hundred ninety".