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2120064226040 = 235238925892333
BaseRepresentation
bin11110110110011101101…
…011001101001011111000
321111200020220212111000202
4132312131223031023320
5234213342420213130
64301535530021332
7306112111405265
oct36663553151370
97450226774022
102120064226040
11748128a92982
122a2a71277848
13124bc8b480c7
147487c55426c
153a23391d145
hex1ed9dacd2f8

2120064226040 has 64 divisors (see below), whose sum is σ = 5033469729600. Its totient is φ = 802040876032.

The previous prime is 2120064226003. The next prime is 2120064226051. The reversal of 2120064226040 is 406224600212.

It is a super-3 number, since 3×21200642260403 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2120064225994 and 2120064226012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12864287 + ... + 13028046.

It is an arithmetic number, because the mean of its divisors is an integer number (78647964525).

Almost surely, 22120064226040 is an apocalyptic number.

2120064226040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120064226040 is an abundant number, since it is smaller than the sum of its proper divisors (2913405503560).

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

2120064226040 is a wasteful number, since it uses less digits than its factorization.

2120064226040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25892456 (or 25892452 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 2120064226040 its reverse (406224600212), we get a palindrome (2526288826252).

The spelling of 2120064226040 in words is "two trillion, one hundred twenty billion, sixty-four million, two hundred twenty-six thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 89 92 115 178 184 230 356 445 460 712 890 920 1780 2047 3560 4094 8188 10235 16376 20470 40940 81880 25892333 51784666 103569332 129461665 207138664 258923330 517846660 595523659 1035693320 1191047318 2304417637 2382094636 2977618295 4608835274 4764189272 5955236590 9217670548 11522088185 11910473180 18435341096 23044176370 23820946360 46088352740 53001605651 92176705480 106003211302 212006422604 265008028255 424012845208 530016056510 1060032113020 2120064226040