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1985346936 = 23361922341
BaseRepresentation
bin111011001010101…
…1111110101111000
312010100210002000000
41312111133311320
513031222100221
6525000513000
7100125112326
oct16625376570
95110702000
101985346936
119297495a1
12474a7b760
13258416901
1414b962d16
15b946ae26
hex7655fd78

1985346936 has 336 divisors, whose sum is σ = 6296466960. Its totient is φ = 585066240.

The previous prime is 1985346899. The next prime is 1985346953. The reversal of 1985346936 is 6396435891.

1985346936 is a `hidden beast` number, since 19 + 8 + 534 + 6 + 93 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 48423076 + ... + 48423116.

It is an arithmetic number, because the mean of its divisors is an integer number (18739485).

Almost surely, 21985346936 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 1985346936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3148233480).

1985346936 is an abundant number, since it is smaller than the sum of its proper divisors (4311120024).

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

1985346936 is a wasteful number, since it uses less digits than its factorization.

1985346936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 88 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

The square root of 1985346936 is about 44557.2321402486. The cubic root of 1985346936 is about 1256.8365540697.

The spelling of 1985346936 in words is "one billion, nine hundred eighty-five million, three hundred forty-six thousand, nine hundred thirty-six".