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133777683390 = 2351313115431697
BaseRepresentation
bin111110010010111000…
…1010111001110111110
3110210022012022110000110
41330211301113032332
54142434041332030
6141242344010450
712444064355361
oct1744561271676
9423265273013
10133777683390
115180a01861a
1221b15a60a26
13c7cc727250
1466910ac0d8
15372e8221b0
hex1f25c573be

133777683390 has 128 divisors (see below), whose sum is σ = 348834511872. Its totient is φ = 32638095360.

The previous prime is 133777683343. The next prime is 133777683401. The reversal of 133777683390 is 93386777331.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 133777683390.

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 63 ways as a sum of consecutive naturals, for example, 78831022 + ... + 78832718.

It is an arithmetic number, because the mean of its divisors is an integer number (2725269624).

Almost surely, 2133777683390 is an apocalyptic number.

133777683390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133777683390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174417255936).

133777683390 is an abundant number, since it is smaller than the sum of its proper divisors (215056828482).

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

133777683390 is a wasteful number, since it uses less digits than its factorization.

133777683390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3394.

The product of its (nonzero) digits is 12002256, while the sum is 57.

The spelling of 133777683390 in words is "one hundred thirty-three billion, seven hundred seventy-seven million, six hundred eighty-three thousand, three hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 131 195 262 390 393 655 786 1310 1543 1697 1703 1965 3086 3394 3406 3930 4629 5091 5109 7715 8485 8515 9258 10182 10218 15430 16970 17030 20059 22061 23145 25455 25545 40118 44122 46290 50910 51090 60177 66183 100295 110305 120354 132366 200590 202133 220610 222307 300885 330915 404266 444614 601770 606399 661830 666921 1010665 1111535 1212798 1333842 2021330 2223070 2618471 2627729 2889991 3031995 3334605 5236942 5255458 5779982 6063990 6669210 7855413 7883187 8669973 13092355 13138645 14449955 15710826 15766374 17339946 26184710 26277290 28899910 34040123 39277065 39415935 43349865 68080246 78554130 78831870 86699730 102120369 170200615 204240738 340401230 343019701 510601845 686039402 1021203690 1029059103 1715098505 2058118206 3430197010 4459256113 5145295515 8918512226 10290591030 13377768339 22296280565 26755536678 44592561130 66888841695 133777683390