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2251335116052 = 22361170187527
BaseRepresentation
bin100000110000101110000…
…001111010010100010100
321222020002102012122000000
4200300232001322110110
5243341213242203202
64442125444451300
7321440116512321
oct40605601722424
97866072178000
102251335116052
11798870a87530
123043a76a9b30
131343b9104a59
147ad72723b48
153d86812191c
hex20c2e07a514

2251335116052 has 84 divisors (see below), whose sum is σ = 6444057320736. Its totient is φ = 682222752720.

The previous prime is 2251335116027. The next prime is 2251335116057. The reversal of 2251335116052 is 2506115331522.

2251335116052 is a `hidden beast` number, since 2 + 2 + 5 + 1 + 3 + 35 + 11 + 605 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2251335115998 and 2251335116016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2251335116057) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 35061688 + ... + 35125839.

It is an arithmetic number, because the mean of its divisors is an integer number (76714968104).

Almost surely, 22251335116052 is an apocalyptic number.

2251335116052 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2251335116052 is an abundant number, since it is smaller than the sum of its proper divisors (4192722204684).

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

2251335116052 is a wasteful number, since it uses less digits than its factorization.

2251335116052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70187560 (or 70187543 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 2251335116052 in words is "two trillion, two hundred fifty-one billion, three hundred thirty-five million, one hundred sixteen thousand, fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 243 297 324 396 486 594 729 891 972 1188 1458 1782 2673 2916 3564 5346 8019 10692 16038 32076 70187527 140375054 210562581 280750108 421125162 631687743 772062797 842250324 1263375486 1544125594 1895063229 2316188391 2526750972 3088251188 3790126458 4632376782 5685189687 6948565173 7580252916 9264753564 11370379374 13897130346 17055569061 20845695519 22740758748 27794260692 34111138122 41691391038 51166707183 62537086557 68222276244 83382782076 102333414366 125074173114 187611259671 204666828732 250148346228 375222519342 562833779013 750445038684 1125667558026 2251335116052