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36828236352 = 2635310933203
BaseRepresentation
bin100010010011001000…
…100100101001000000
310112001121211020201210
4202103020210221000
51100411012030402
624530232530120
72442431562315
oct422310445100
9115047736653
1036828236352
1114689641076
127179850940
13361bc1c03b
141ad5252d0c
15e5831506c
hex893224a40

36828236352 has 112 divisors (see below), whose sum is σ = 100193734080. Its totient is φ = 11933595648.

The previous prime is 36828236327. The next prime is 36828236369. The reversal of 36828236352 is 25363282863.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1092583 + ... + 1125785.

Almost surely, 236828236352 is an apocalyptic number.

36828236352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36828236352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50096867040).

36828236352 is an abundant number, since it is smaller than the sum of its proper divisors (63365497728).

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

36828236352 is a wasteful number, since it uses less digits than its factorization.

36828236352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33380 (or 33370 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 48.

The spelling of 36828236352 in words is "thirty-six billion, eight hundred twenty-eight million, two hundred thirty-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 109 159 192 212 218 318 327 424 436 636 654 848 872 1272 1308 1696 1744 2544 2616 3392 3488 5088 5232 5777 6976 10176 10464 11554 17331 20928 23108 33203 34662 46216 66406 69324 92432 99609 132812 138648 184864 199218 265624 277296 369728 398436 531248 554592 796872 1062496 1109184 1593744 1759759 2124992 3187488 3519518 3619127 5279277 6374976 7039036 7238254 10558554 10857381 14078072 14476508 21117108 21714762 28156144 28953016 42234216 43429524 56312288 57906032 84468432 86859048 112624576 115812064 168936864 173718096 191813731 231624128 337873728 347436192 383627462 575441193 694872384 767254924 1150882386 1534509848 2301764772 3069019696 4603529544 6138039392 9207059088 12276078784 18414118176 36828236352