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2052077081496 = 2331373751119971
BaseRepresentation
bin11101110111001001010…
…100110101001110011000
321021011202210001200202020
4131313021110311032120
5232110123213101441
64210413341334440
7301154245252011
oct35671124651630
97234683050666
102052077081496
11721310018a12
12291858567420
1311b6827292b0
147146cdc2008
15385a4dade66
hex1ddc9535398

2052077081496 has 128 divisors (see below), whose sum is σ = 5608009559040. Its totient is φ = 621924480000.

The previous prime is 2052077081477. The next prime is 2052077081513. The reversal of 2052077081496 is 6941807702502.

It is a happy number.

It is a super-2 number, since 2×20520770814962 (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 31 ways as a sum of consecutive naturals, for example, 17044791 + ... + 17164761.

It is an arithmetic number, because the mean of its divisors is an integer number (43812574680).

Almost surely, 22052077081496 is an apocalyptic number.

2052077081496 is a gapful number since it is divisible by the number (26) 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 2052077081496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2804004779520).

2052077081496 is an abundant number, since it is smaller than the sum of its proper divisors (3555932477544).

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

2052077081496 is a wasteful number, since it uses less digits than its factorization.

2052077081496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120817 (or 120813 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

The spelling of 2052077081496 in words is "two trillion, fifty-two billion, seventy-seven million, eighty-one thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 73 78 104 146 156 219 292 312 438 584 751 876 949 1502 1752 1898 2253 2847 3004 3796 4506 5694 6008 7592 9012 9763 11388 18024 19526 22776 29289 39052 54823 58578 78104 109646 117156 119971 164469 219292 234312 239942 328938 359913 438584 479884 657876 712699 719826 959768 1315752 1425398 1439652 1559623 2138097 2850796 2879304 3119246 4276194 4678869 5701592 6238492 8552388 8757883 9357738 12476984 17104776 17515766 18715476 26273649 35031532 37430952 52547298 70063064 90098221 105094596 113852479 180196442 210189192 227704958 270294663 341557437 360392884 455409916 540589326 683114874 720785768 910819832 1081178652 1171276873 1366229748 2162357304 2342553746 2732459496 3513830619 4685107492 6577170133 7027661238 9370214984 13154340266 14055322476 19731510399 26308680532 28110644952 39463020798 52617361064 78926041596 85503211729 157852083192 171006423458 256509635187 342012846916 513019270374 684025693832 1026038540748 2052077081496