Search a number
-
+
96395271804 = 22341324379391
BaseRepresentation
bin101100111000110011…
…0110001111001111100
3100012210221201011210000
41121301212301321330
53034404142144204
6112141113114300
76651523201566
oct1316146617174
9305727634700
1096395271804
1137976688497
12168226b8990
139122a65490
144946400336
152792a42039
hex16719b1e7c

96395271804 has 120 divisors (see below), whose sum is σ = 271520879168. Its totient is φ = 29644755840.

The previous prime is 96395271799. The next prime is 96395271823. The reversal of 96395271804 is 40817259369.

96395271804 is a `hidden beast` number, since 9 + 6 + 39 + 527 + 1 + 80 + 4 = 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 39 ways as a sum of consecutive naturals, for example, 10259949 + ... + 10269339.

It is a 2-persistent number, because it is pandigital, and so is 2⋅96395271804 = 192790543608, but 3⋅96395271804 = 289185815412 is not.

Almost surely, 296395271804 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 96395271804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135760439584).

96395271804 is an abundant number, since it is smaller than the sum of its proper divisors (175125607364).

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

96395271804 is a wasteful number, since it uses less digits than its factorization.

96395271804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11857 (or 11846 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 96395271804 in words is "ninety-six billion, three hundred ninety-five million, two hundred seventy-one thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 702 1053 1404 2106 2437 4212 4874 7311 9391 9748 14622 18782 21933 28173 29244 31681 37564 43866 56346 63362 65799 84519 87732 95043 112692 122083 126724 131598 169038 190086 197397 244166 253557 263196 285129 338076 366249 380172 394794 488332 507114 570258 732498 760671 789588 855387 1014228 1098747 1140516 1464996 1521342 1710774 2197494 2566161 3042684 3296241 3421548 4394988 5132322 6592482 9888723 10264644 13184964 19777446 22885867 39554892 45771734 68657601 91543468 137315202 205972803 274630404 297516271 411945606 595032542 617918409 823891212 892548813 1190065084 1235836818 1785097626 1853755227 2471673636 2677646439 3570195252 3707510454 5355292878 7415020908 8032939317 10710585756 16065878634 24098817951 32131757268 48197635902 96395271804