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2054327626100 = 2252312273291547
BaseRepresentation
bin11101111001001111011…
…101111110100101110100
321021101120121212012120002
4131321033131332211310
5232124230333013400
64211424534330432
7301264103464361
oct35711735764564
97241517765502
102054327626100
11722265430432
122921861b9a18
1311b950a76ba9
1471603c59468
1538687761ed5
hex1de4f77e974

2054327626100 has 72 divisors (see below), whose sum is σ = 4603734175488. Its totient is φ = 794871014400.

The previous prime is 2054327626019. The next prime is 2054327626121. The reversal of 2054327626100 is 16267234502.

It is a super-2 number, since 2×20543276261002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6900527 + ... + 7192073.

Almost surely, 22054327626100 is an apocalyptic number.

2054327626100 is a gapful number since it is divisible by the number (20) 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 2054327626100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2301867087744).

2054327626100 is an abundant number, since it is smaller than the sum of its proper divisors (2549406549388).

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

2054327626100 is a wasteful number, since it uses less digits than its factorization.

2054327626100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293865 (or 293858 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The spelling of 2054327626100 in words is "two trillion, fifty-four billion, three hundred twenty-seven million, six hundred twenty-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 1550 2273 3100 4546 9092 11365 22730 45460 56825 70463 113650 140926 227300 281852 291547 352315 583094 704630 1166188 1409260 1457735 1761575 2915470 3523150 5830940 7046300 7288675 9037957 14577350 18075914 29154700 36151828 45189785 90379570 180759140 225948925 451897850 662686331 903795700 1325372662 2650745324 3313431655 6626863310 13253726620 16567158275 20543276261 33134316550 41086552522 66268633100 82173105044 102716381305 205432762610 410865525220 513581906525 1027163813050 2054327626100