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36803281428 = 22321931131319
BaseRepresentation
bin100010010001101001…
…011000001000010100
310111222212212102000100
4202101221120020110
51100333120001203
624523542014100
72442006505404
oct422151301024
9114885772010
1036803281428
1114676547071
127171417330
1336169c2504
141ad1bd8804
15e56035ea3
hex891a58214

36803281428 has 144 divisors (see below), whose sum is σ = 99142243200. Its totient is φ = 11510505216.

The previous prime is 36803281421. The next prime is 36803281439. The reversal of 36803281428 is 82418230863.

36803281428 is a `hidden beast` number, since 368 + 0 + 3 + 281 + 4 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36803281421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27901753 + ... + 27903071.

It is an arithmetic number, because the mean of its divisors is an integer number (688487800).

Almost surely, 236803281428 is an apocalyptic number.

36803281428 is a gapful number since it is divisible by the number (38) 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 36803281428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49571121600).

36803281428 is an abundant number, since it is smaller than the sum of its proper divisors (62338961772).

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

36803281428 is a wasteful number, since it uses less digits than its factorization.

36803281428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1499 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 36803281428 in words is "thirty-six billion, eight hundred three million, two hundred eighty-one thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 113 114 171 226 228 339 342 361 452 678 684 722 1017 1083 1319 1356 1444 2034 2147 2166 2638 3249 3957 4068 4294 4332 5276 6441 6498 6859 7914 8588 11871 12882 12996 13718 15828 19323 20577 23742 25061 25764 27436 38646 40793 41154 47484 50122 61731 75183 77292 81586 82308 100244 122379 123462 149047 150366 163172 225549 244758 246924 298094 300732 367137 447141 451098 476159 489516 596188 734274 775067 894282 902196 952318 1341423 1428477 1468548 1550134 1788564 1904636 2325201 2682846 2831893 2856954 3100268 4285431 4650402 5365692 5663786 5713908 6975603 8495679 8570862 9047021 9300804 11327572 13951206 16991358 17141724 18094042 25487037 27141063 27902412 33982716 36188084 50974074 53805967 54282126 81423189 101948148 107611934 108564252 161417901 162846378 215223868 322835802 325692756 484253703 645671604 968507406 1022313373 1937014812 2044626746 3066940119 4089253492 6133880238 9200820357 12267760476 18401640714 36803281428