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2121626426136 = 2337191114959617
BaseRepresentation
bin11110110111111010110…
…010100001101100011000
321111211021210102110200120
4132313322302201230120
5234230042331114021
64302354533233240
7306165611032440
oct36677262415430
97454253373616
102121626426136
1174885a896a38
122a3228492820
131250b76a7869
1474989c09120
153a2c5b522c6
hex1edfaca1b18

2121626426136 has 128 divisors (see below), whose sum is σ = 6381510720000. Its totient is φ = 574213681152.

The previous prime is 2121626426107. The next prime is 2121626426147. The reversal of 2121626426136 is 6316246261212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 35557800 + ... + 35617416.

It is an arithmetic number, because the mean of its divisors is an integer number (49855552500).

Almost surely, 22121626426136 is an apocalyptic number.

It is an amenable number.

2121626426136 is an abundant number, since it is smaller than the sum of its proper divisors (4259884293864).

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

2121626426136 is a wasteful number, since it uses less digits than its factorization.

2121626426136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70801 (or 70797 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The spelling of 2121626426136 in words is "two trillion, one hundred twenty-one billion, six hundred twenty-six million, four hundred twenty-six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 399 456 532 798 1064 1596 3192 11149 22298 33447 44596 59617 66894 78043 89192 119234 133788 156086 178851 211831 234129 238468 267576 312172 357702 417319 423662 468258 476936 624344 635493 715404 834638 847324 936516 1132723 1251957 1270986 1430808 1482817 1669276 1694648 1873032 2265446 2503914 2541972 2965634 3338552 3398169 4448451 4530892 5007828 5083944 5931268 6796338 7929061 8896902 9061784 10015656 11862536 13592676 15858122 17793804 23787183 27185352 31716244 35587608 47574366 63432488 95148732 190297464 664669933 1329339866 1994009799 2658679732 3988019598 4652689531 5317359464 7976039196 9305379062 12628728727 13958068593 15952078392 18610758124 25257457454 27916137186 37221516248 37886186181 50514914908 55832274372 75772372362 88401101089 101029829816 111664548744 151544744724 176802202178 265203303267 303089489448 353604404356 530406606534 707208808712 1060813213068 2121626426136