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2055119610690 = 2325314491640539
BaseRepresentation
bin11101111001111110101…
…011001010001101000010
321021110121211010012011200
4131321332223022031002
5232132341110020230
64212035305322030
7301322531315346
oct35717653121502
97243554105150
102055119610690
11722631497153
12292367496316
1311ba48b81623
147167b0d9626
15386d2054160
hex1de7eaca342

2055119610690 has 96 divisors (see below), whose sum is σ = 5527963584000. Its totient is φ = 529171937280.

The previous prime is 2055119610679. The next prime is 2055119610737. The reversal of 2055119610690 is 960169115502.

It is a happy number.

2055119610690 is a `hidden beast` number, since 2 + 0 + 551 + 1 + 9 + 6 + 1 + 0 + 6 + 90 = 666.

It is a super-2 number, since 2×20551196106902 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 432441 + ... + 2072979.

It is an arithmetic number, because the mean of its divisors is an integer number (57582954000).

Almost surely, 22055119610690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2055119610690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2763981792000).

2055119610690 is an abundant number, since it is smaller than the sum of its proper divisors (3472843973310).

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

2055119610690 is a wasteful number, since it uses less digits than its factorization.

2055119610690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641032 (or 1641029 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 45.

The spelling of 2055119610690 in words is "two trillion, fifty-five billion, one hundred nineteen million, six hundred ten thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 449 465 558 898 930 1347 1395 2245 2694 2790 4041 4490 6735 8082 13470 13919 20205 27838 40410 41757 69595 83514 125271 139190 208785 250542 417570 626355 1252710 1640539 3281078 4921617 8202695 9843234 14764851 16405390 24608085 29529702 49216170 50856709 73824255 101713418 147648510 152570127 254283545 305140254 457710381 508567090 736602011 762850635 915420762 1473204022 1525701270 2209806033 2288551905 3683010055 4419612066 4577103810 6629418099 7366020110 11049030165 13258836198 22098060330 22834662341 33147090495 45669324682 66294180990 68503987023 114173311705 137007974046 205511961069 228346623410 342519935115 411023922138 685039870230 1027559805345 2055119610690