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85650796440 = 23345111272149
BaseRepresentation
bin100111111000100101…
…1110110111110011000
322012002011002021110000
41033301023312332120
52400403100441230
6103203013453000
76121335520536
oct1176113667630
9265064067400
1085650796440
1133362707090
1214724341160
1380cca66051
144207447156
152364628b60
hex13f12f6f98

85650796440 has 480 divisors, whose sum is σ = 318669714000. Its totient is φ = 20462077440.

The previous prime is 85650796417. The next prime is 85650796459. The reversal of 85650796440 is 4469705658.

85650796440 is a `hidden beast` number, since 8 + 5 + 6 + 507 + 96 + 4 + 40 = 666.

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 119 ways as a sum of consecutive naturals, for example, 574837486 + ... + 574837634.

Almost surely, 285650796440 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 85650796440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159334857000).

85650796440 is an abundant number, since it is smaller than the sum of its proper divisors (233018917560).

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

85650796440 is a wasteful number, since it uses less digits than its factorization.

85650796440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 85650796440 in words is "eighty-five billion, six hundred fifty million, seven hundred ninety-six thousand, four hundred forty".