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190000916292 = 2231123132747161
BaseRepresentation
bin1011000011110011101…
…1111110011101000100
3200011102111020121021210
42300330323332131010
511103110213310132
6223141335011420
716504254066315
oct2607473763504
9604374217253
10190000916292
1173640622660
12309a6b09b70
1314bbc892ab5
1492a611a60c
154e206e7bcc
hex2c3cefe744

190000916292 has 96 divisors (see below), whose sum is σ = 505057480704. Its totient is φ = 55030060800.

The previous prime is 190000916227. The next prime is 190000916293. The reversal of 190000916292 is 292619000091.

It is a super-2 number, since 2×1900009162922 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 190000916292.

It is not an unprimeable number, because it can be changed into a prime (190000916293) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4005192 + ... + 4052352.

It is an arithmetic number, because the mean of its divisors is an integer number (5261015424).

Almost surely, 2190000916292 is an apocalyptic number.

190000916292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190000916292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252528740352).

190000916292 is an abundant number, since it is smaller than the sum of its proper divisors (315056564412).

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

190000916292 is a wasteful number, since it uses less digits than its factorization.

190000916292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48529 (or 48527 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 39.

The spelling of 190000916292 in words is "one hundred ninety billion, nine hundred sixteen thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 506 759 1012 1327 1518 2654 3036 3981 5308 7962 14597 15924 29194 30521 43791 47161 58388 61042 87582 91563 94322 122084 141483 175164 183126 188644 282966 335731 366252 518771 565932 671462 1007193 1037542 1084703 1342924 1556313 2014386 2075084 2169406 3112626 3254109 4028772 4338812 6225252 6508218 11931733 13016436 23863466 35795199 47726932 62582647 71590398 125165294 143180796 187747941 250330588 375495882 688409117 750991764 1376818234 1439400881 2065227351 2753636468 2878801762 4130454702 4318202643 5757603524 8260909404 8636405286 15833409691 17272810572 31666819382 47500229073 63333638764 95000458146 190000916292