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156345904836 = 223411219972
BaseRepresentation
bin1001000110011011110…
…0010010111011000100
3112221120000101212210000
42101212330102323010
510030144022423321
6155454015201300
714203253156352
oct2214674227304
9487500355700
10156345904836
1160340207400
1226373b16230
13119881c9434
1477d24c27d2
154100c92826
hex2466f12ec4

156345904836 has 135 divisors (see below), whose sum is σ = 449478278557. Its totient is φ = 47353822560.

The previous prime is 156345904831. The next prime is 156345904843. The reversal of 156345904836 is 638409543651.

The square root of 156345904836 is 395406.

It is a perfect power (a square), and thus also a powerful number.

156345904836 is a `hidden beast` number, since 1 + 5 + 6 + 3 + 4 + 590 + 48 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3890016900 + 152455887936 = 62370^2 + 390456^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (156345904831) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 78289390 + ... + 78291386.

Almost surely, 2156345904836 is an apocalyptic number.

156345904836 is the 395406-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 156345904836

156345904836 is an abundant number, since it is smaller than the sum of its proper divisors (293132373721).

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

156345904836 is an equidigital number, since it uses as much as digits as its factorization.

156345904836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4032 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 156345904836 in words is "one hundred fifty-six billion, three hundred forty-five million, nine hundred four thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 121 132 162 198 242 297 324 363 396 484 594 726 891 1089 1188 1452 1782 1997 2178 3267 3564 3994 4356 5991 6534 7988 9801 11982 13068 17973 19602 21967 23964 35946 39204 43934 53919 65901 71892 87868 107838 131802 161757 197703 215676 241637 263604 323514 395406 483274 593109 647028 724911 790812 966548 1186218 1449822 1779327 2174733 2372436 2899644 3558654 3988009 4349466 6524199 7117308 7976018 8698932 11964027 13048398 15952036 19572597 23928054 26096796 35892081 39145194 43868099 47856108 71784162 78290388 87736198 107676243 131604297 143568324 175472396 215352486 263208594 323028729 394812891 430704972 482549089 526417188 646057458 789625782 965098178 1184438673 1292114916 1447647267 1579251564 1930196356 2368877346 2895294534 3553316019 4342941801 4737754692 5790589068 7106632038 8685883602 13028825403 14213264076 17371767204 26057650806 39086476209 52115301612 78172952418 156345904836