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1338922296192 = 27313268213601
BaseRepresentation
bin10011011110111101111…
…111001110001110000000
311201222222210111222000210
4103132331333032032000
5133414103101434232
62503031543314120
7165506512510515
oct23367577161600
94658883458023
101338922296192
11476919804428
121975aa44b940
139934bb04630
1448b3897d30c
1524c65ecc5cc
hex137bdfce380

1338922296192 has 64 divisors (see below), whose sum is σ = 3830090236560. Its totient is φ = 411976089600.

The previous prime is 1338922296191. The next prime is 1338922296199. The reversal of 1338922296192 is 2916922298331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1338922296191) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134101809 + ... + 134111792.

Almost surely, 21338922296192 is an apocalyptic number.

1338922296192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1338922296192 is an abundant number, since it is smaller than the sum of its proper divisors (2491167940368).

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

1338922296192 is a wasteful number, since it uses less digits than its factorization.

1338922296192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268213631 (or 268213619 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 57.

The spelling of 1338922296192 in words is "one trillion, three hundred thirty-eight billion, nine hundred twenty-two million, two hundred ninety-six thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 268213601 536427202 804640803 1072854404 1609281606 2145708808 3218563212 3486776813 4291417616 6437126424 6973553626 8582835232 10460330439 12874252848 13947107252 17165670464 20920660878 25748505696 27894214504 34331340928 41841321756 51497011392 55788429008 83682643512 102994022784 111576858016 167365287024 223153716032 334730574048 446307432064 669461148096 1338922296192