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94140977760 = 25335199109507
BaseRepresentation
bin101011110101100111…
…1010101001001100000
322222222211212011201000
41113223033111021200
53020300042242020
6111125303512000
76541621052004
oct1275317251140
9288884764630
1094140977760
1136a1a144a65
12162b3758600
138b53a0408b
1447b0c6c704
1526aeb9d090
hex15eb3d5260

94140977760 has 192 divisors, whose sum is σ = 331152192000. Its totient is φ = 24977880576.

The previous prime is 94140977759. The next prime is 94140977771. The reversal of 94140977760 is 6777904149.

It is a super-3 number, since 3×941409777603 (a number of 34 digits) contains 333 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 = 94140977697 and 94140977706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 804927 + ... + 914433.

It is an arithmetic number, because the mean of its divisors is an integer number (1724751000).

Almost surely, 294140977760 is an apocalyptic number.

94140977760 is a gapful number since it is divisible by the number (90) 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 94140977760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165576096000).

94140977760 is an abundant number, since it is smaller than the sum of its proper divisors (237011214240).

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

94140977760 is a wasteful number, since it uses less digits than its factorization.

94140977760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109730 (or 109716 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 94140977760 in words is "ninety-four billion, one hundred forty million, nine hundred seventy-seven thousand, seven hundred sixty".