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49189102922304 = 263411813803237
BaseRepresentation
bin10110010111100101110110…
…00000011010101001000000
320110011102200011020121210000
423023302323000122221000
522421403240322003204
6252341054550440000
713234536553116222
oct1313627300325100
9213142604217700
1049189102922304
1114744a88273664
125625217063000
13215a687c76947
14c20a9dd24412
155a47c4d5e039
hex2cbcbb01aa40

49189102922304 has 140 divisors (see below), whose sum is σ = 145824435499644. Its totient is φ = 16394959236096.

The previous prime is 49189102922263. The next prime is 49189102922357. The reversal of 49189102922304 is 40322920198194.

It is a happy number.

49189102922304 is a `hidden beast` number, since 49 + 1 + 8 + 9 + 1 + 0 + 292 + 2 + 304 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18180331545600 + 31008771376704 = 4263840^2 + 5568552^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 60836974 + ... + 61640210.

Almost surely, 249189102922304 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 49189102922304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72912217749822).

49189102922304 is an abundant number, since it is smaller than the sum of its proper divisors (96635332577340).

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

49189102922304 is a wasteful number, since it uses less digits than its factorization.

49189102922304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815074 (or 815055 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 49189102922304 in words is "forty-nine trillion, one hundred eighty-nine billion, one hundred two million, nine hundred twenty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 11813 23626 35439 47252 70878 94504 106317 141756 189008 212634 283512 318951 378016 425268 567024 637902 756032 803237 850536 956853 1134048 1275804 1606474 1701072 1913706 2268096 2409711 2551608 3212948 3402144 3827412 4819422 5103216 6425896 6804288 7229133 7654824 9638844 10206432 12851792 14458266 15309648 19277688 20412864 21687399 25703584 28916532 30619296 38555376 43374798 51407168 57833064 61238592 65062197 77110752 86749596 115666128 130124394 154221504 173499192 231332256 260248788 346998384 462664512 520497576 693996768 1040995152 1387993536 2081990304 4163980608 9488638681 18977277362 28465916043 37954554724 56931832086 75909109448 85397748129 113863664172 151818218896 170795496258 227727328344 256193244387 303636437792 341590992516 455454656688 512386488774 607272875584 683181985032 768579733161 910909313376 1024772977548 1366363970064 1537159466322 1821818626752 2049545955096 2732727940128 3074318932644 4099091910192 5465455880256 6148637865288 8198183820384 12297275730576 16396367640768 24594551461152 49189102922304