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1906428601344 = 2103641968147
BaseRepresentation
bin11011101111011111111…
…111111110010000000000
320202020211021202021220110
4123233133333332100000
5222213331210220334
64015445021111320
7254510035511361
oct33573777762000
96666737667813
101906428601344
1167556a277063
1226958b0b8540
1310aa10867467
14683b3529b68
15348cd33dae9
hex1bbdfffe400

1906428601344 has 88 divisors (see below), whose sum is σ = 5089259719008. Its totient is φ = 634484162560.

The previous prime is 1906428601291. The next prime is 1906428601369. The reversal of 1906428601344 is 4431068246091.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1906428601293 and 1906428601302.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1485079 + ... + 2453225.

Almost surely, 21906428601344 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 1906428601344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2544629859504).

1906428601344 is an abundant number, since it is smaller than the sum of its proper divisors (3182831117664).

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

1906428601344 is an equidigital number, since it uses as much as digits as its factorization.

1906428601344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968811 (or 968793 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 1906428601344 in words is "one trillion, nine hundred six billion, four hundred twenty-eight million, six hundred one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 641 768 1024 1282 1536 1923 2564 3072 3846 5128 7692 10256 15384 20512 30768 41024 61536 82048 123072 164096 246144 328192 492288 656384 968147 984576 1936294 1969152 2904441 3872588 5808882 7745176 11617764 15490352 23235528 30980704 46471056 61961408 92942112 123922816 185884224 247845632 371768448 495691264 620582227 743536896 991382528 1241164454 1487073792 1861746681 2482328908 2974147584 3723493362 4964657816 7446986724 9929315632 14893973448 19858631264 29787946896 39717262528 59575893792 79434525056 119151787584 158869050112 238303575168 317738100224 476607150336 635476200448 953214300672 1906428601344