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195185016 = 2332131511381
BaseRepresentation
bin10111010001001…
…00100101111000
3111121021102111200
423220210211320
5344431410031
631211254200
74560021345
oct1350444570
9447242450
10195185016
11a01a4434
125544a360
133158c7c0
141bccb7cc
15122078e6
hexba24978

195185016 has 96 divisors (see below), whose sum is σ = 573474720. Its totient is φ = 59616000.

The previous prime is 195185009. The next prime is 195185017. The reversal of 195185016 is 610581591.

It is a Smith number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195185017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140646 + ... + 142026.

It is an arithmetic number, because the mean of its divisors is an integer number (5973695).

Almost surely, 2195185016 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 195185016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286737360).

195185016 is an abundant number, since it is smaller than the sum of its proper divisors (378289704).

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

195185016 is a wasteful number, since it uses less digits than its factorization.

195185016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1557 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 36.

The square root of 195185016 is about 13970.8631086272. The cubic root of 195185016 is about 580.0723413533.

The spelling of 195185016 in words is "one hundred ninety-five million, one hundred eighty-five thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 151 156 234 302 312 453 468 604 906 936 1208 1359 1381 1812 1963 2718 2762 3624 3926 4143 5436 5524 5889 7852 8286 10872 11048 11778 12429 15704 16572 17667 17953 23556 24858 33144 35334 35906 47112 49716 53859 70668 71812 99432 107718 141336 143624 161577 208531 215436 323154 417062 430872 625593 646308 834124 1251186 1292616 1668248 1876779 2502372 2710903 3753558 5004744 5421806 7507116 8132709 10843612 15014232 16265418 21687224 24398127 32530836 48796254 65061672 97592508 195185016