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51326543102016 = 2637132937645553
BaseRepresentation
bin10111010101110011001000…
…10111101000000001000000
320201201202210001001000012110
423222321210113220001000
523211413230013231031
6301055031031455320
713545135404636550
oct1352714427500100
9221652701030173
1051326543102016
1115399512556726
12590b517527540
1322840c2957630
14c9630a05d160
155e01c3e67c46
hex2eae645e8040

51326543102016 has 112 divisors (see below), whose sum is σ = 167140281440384. Its totient is φ = 13536670703616.

The previous prime is 51326543101957. The next prime is 51326543102017. The reversal of 51326543102016 is 61020134562315.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (51326543102017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1468805305 + ... + 1468840248.

It is an arithmetic number, because the mean of its divisors is an integer number (1492323941432).

Almost surely, 251326543102016 is an apocalyptic number.

51326543102016 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

51326543102016 is an abundant number, since it is smaller than the sum of its proper divisors (115813738338368).

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

51326543102016 is a wasteful number, since it uses less digits than its factorization.

51326543102016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2937645588 (or 2937645578 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 51326543102016 in words is "fifty-one trillion, three hundred twenty-six billion, five hundred forty-three million, one hundred two thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 156 168 182 192 208 224 273 312 336 364 416 448 546 624 672 728 832 1092 1248 1344 1456 2184 2496 2912 4368 5824 8736 17472 2937645553 5875291106 8812936659 11750582212 17625873318 20563518871 23501164424 35251746636 38189392189 41127037742 47002328848 61690556613 70503493272 76378784378 82254075484 94004657696 114568176567 123381113226 141006986544 152757568756 164508150968 188009315392 229136353134 246762226452 267325745323 282013973088 305515137512 329016301936 458272706268 493524452904 534651490646 564027946176 611030275024 658032603872 801977235969 916545412536 987048905808 1069302981292 1222060550048 1316065207744 1603954471938 1833090825072 1974097811616 2138605962584 2444121100096 3207908943876 3666181650144 3948195623232 4277211925168 6415817887752 7332363300288 8554423850336 12831635775504 17108847700672 25663271551008 51326543102016