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191996952048 = 243311127318137
BaseRepresentation
bin1011001011001111101…
…0001111110111110000
3200100120121010201121000
42302303322033313300
511121202204431143
6224111401002000
716604602110456
oct2626372176760
9610517121530
10191996952048
1174475301890
1231263483300
131514a27c945
1494152629d6
154edaa75bd3
hex2cb3e8fdf0

191996952048 has 160 divisors (see below), whose sum is σ = 605938360320. Its totient is φ = 57722595840.

The previous prime is 191996952029. The next prime is 191996952061. The reversal of 191996952048 is 840259699191.

191996952048 is a `hidden beast` number, since 1 + 9 + 1 + 9 + 9 + 69 + 520 + 48 = 666.

It is a super-2 number, since 2×1919969520482 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 444436 + ... + 762572.

It is an arithmetic number, because the mean of its divisors is an integer number (3787114752).

Almost surely, 2191996952048 is an apocalyptic number.

191996952048 is a gapful number since it is divisible by the number (18) 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 191996952048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302969180160).

191996952048 is an abundant number, since it is smaller than the sum of its proper divisors (413941408272).

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

191996952048 is a wasteful number, since it uses less digits than its factorization.

191996952048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318292 (or 318280 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 63.

The spelling of 191996952048 in words is "one hundred ninety-one billion, nine hundred ninety-six million, nine hundred fifty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 127 132 144 176 198 216 254 264 297 381 396 432 508 528 594 762 792 1016 1143 1188 1397 1524 1584 2032 2286 2376 2794 3048 3429 4191 4572 4752 5588 6096 6858 8382 9144 11176 12573 13716 16764 18288 22352 25146 27432 33528 37719 50292 54864 67056 75438 100584 150876 201168 301752 318137 603504 636274 954411 1272548 1908822 2545096 2863233 3499507 3817644 5090192 5726466 6999014 7635288 8589699 10498521 11452932 13998028 15270576 17179398 20997042 22905864 27996056 31495563 34358796 40403399 41994084 45811728 55992112 62991126 68717592 80806798 83988168 94486689 121210197 125982252 137435184 161613596 167976336 188973378 242420394 251964504 323227192 363630591 377946756 444437389 484840788 503929008 646454384 727261182 755893512 888874778 969681576 1090891773 1333312167 1454522364 1511787024 1777749556 1939363152 2181783546 2666624334 2909044728 3555499112 3999936501 4363567092 5333248668 5818089456 7110998224 7999873002 8727134184 10666497336 11999809503 15999746004 17454268368 21332994672 23999619006 31999492008 47999238012 63998984016 95998476024 191996952048