Search a number
-
+
36816338076 = 22371921996101
BaseRepresentation
bin100010010010011011…
…001011110010011100
310112000210102202100220
4202102123023302130
51100344440304301
624525125521340
72442225465420
oct422233136234
9115023382326
1036816338076
1114682954791
127175873250
13361961443b
141ad3836b80
15e57264936
hex8926cbc9c

36816338076 has 144 divisors (see below), whose sum is σ = 104153817600. Its totient is φ = 9913622400.

The previous prime is 36816338059. The next prime is 36816338093. The reversal of 36816338076 is 67083361863.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (36816338059) and next prime (36816338093).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6031426 + ... + 6037526.

It is an arithmetic number, because the mean of its divisors is an integer number (723290400).

Almost surely, 236816338076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36816338076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52076908800).

36816338076 is an abundant number, since it is smaller than the sum of its proper divisors (67337479524).

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

36816338076 is a wasteful number, since it uses less digits than its factorization.

36816338076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6352 (or 6331 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 51.

The spelling of 36816338076 in words is "thirty-six billion, eight hundred sixteen million, three hundred thirty-eight thousand, seventy-six".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 199 228 266 361 398 399 532 597 722 796 798 1083 1194 1393 1444 1596 2166 2388 2527 2786 3781 4179 4332 5054 5572 6101 7562 7581 8358 10108 11343 12202 15124 15162 16716 18303 22686 24404 26467 30324 36606 42707 45372 52934 71839 73212 79401 85414 105868 115919 128121 143678 158802 170828 215517 231838 256242 287356 317604 347757 431034 463676 502873 512484 695514 811433 862068 1005746 1214099 1391028 1508619 1622866 2011492 2202461 2428198 2434299 3017238 3245732 3642297 4404922 4856396 4868598 6034476 6607383 7284594 8498693 8809844 9737196 13214766 14569188 15417227 16997386 23067881 25496079 26429532 30834454 33994772 46135762 46251681 50992158 61668908 69203643 92271524 92503362 101984316 138407286 161475167 185006724 276814572 322950334 438289739 484425501 645900668 876579478 968851002 1314869217 1753158956 1937702004 2629738434 3068028173 5259476868 6136056346 9204084519 12272112692 18408169038 36816338076