Search a number
-
+
9934018794 = 233747211897
BaseRepresentation
bin10010100000001110…
…10001100011101010
3221122022121102221000
421100013101203222
5130321102100134
64321424255430
7501113523630
oct112007214352
927568542830
109934018794
114238549397
121b12a71576
13c24127c3b
146a34a9350
153d21c7e99
hex2501d18ea

9934018794 has 96 divisors (see below), whose sum is σ = 25779634560. Its totient is φ = 2777668416.

The previous prime is 9934018753. The next prime is 9934018811. The reversal of 9934018794 is 4978104399.

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

It is a self number, because there is not a number n which added to its sum of digits gives 9934018794.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 829054 + ... + 840950.

It is an arithmetic number, because the mean of its divisors is an integer number (268537860).

Almost surely, 29934018794 is an apocalyptic number.

9934018794 is a gapful number since it is divisible by the number (94) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9934018794, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12889817280).

9934018794 is an abundant number, since it is smaller than the sum of its proper divisors (15845615766).

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

9934018794 is a wasteful number, since it uses less digits than its factorization.

9934018794 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12009 (or 11956 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 9934018794 is about 99669.5479773035. The cubic root of 9934018794 is about 2149.6858234989.

The spelling of 9934018794 in words is "nine billion, nine hundred thirty-four million, eighteen thousand, seven hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 47 54 63 94 126 141 189 282 329 378 423 658 846 987 1269 1974 2209 2538 2961 4418 5922 6627 8883 11897 13254 15463 17766 19881 23794 30926 35691 39762 46389 59643 71382 83279 92778 107073 119286 139167 166558 214146 249837 278334 321219 417501 499674 559159 642438 749511 835002 1118318 1499022 1677477 2248533 3354954 3914113 4497066 5032431 7828226 10064862 11742339 15097293 23484678 26280473 30194586 35227017 52560946 70454034 78841419 105681051 157682838 183963311 211362102 236524257 367926622 473048514 551889933 709572771 1103779866 1419145542 1655669799 3311339598 4967009397 9934018794