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50450365442664 = 23331150774182257
BaseRepresentation
bin10110111100010011001000…
…00111000110101001101000
320121122000012201012012212000
423132021210013012221220
523103034322023131124
6255144324455451000
713424630041500315
oct1336114407065150
9217560181165760
1050450365442664
1115090975065a70
1257a9751386a60
13221c5ab7331a5
14c65b4c867d0c
155c74e30376c9
hex2de2641c6a68

50450365442664 has 128 divisors (see below), whose sum is σ = 152910044092800. Its totient is φ = 15284974648320.

The previous prime is 50450365442657. The next prime is 50450365442689. The reversal of 50450365442664 is 46624456305405.

50450365442664 is a `hidden beast` number, since 5 + 0 + 4 + 5 + 0 + 36 + 544 + 2 + 6 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 50450365442664.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9971824 + ... + 14154080.

It is an arithmetic number, because the mean of its divisors is an integer number (1194609719475).

Almost surely, 250450365442664 is an apocalyptic number.

50450365442664 is a gapful number since it is divisible by the number (54) 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 50450365442664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76455022046400).

50450365442664 is an abundant number, since it is smaller than the sum of its proper divisors (102459678650136).

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

50450365442664 is a wasteful number, since it uses less digits than its factorization.

50450365442664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4187360 (or 4187350 counting only the distinct ones).

The product of its (nonzero) digits is 41472000, while the sum is 54.

The spelling of 50450365442664 in words is "fifty trillion, four hundred fifty billion, three hundred sixty-five million, four hundred forty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 5077 10154 15231 20308 30462 40616 45693 55847 60924 91386 111694 121848 137079 167541 182772 223388 274158 335082 365544 446776 502623 548316 670164 1005246 1096632 1340328 1507869 2010492 3015738 4020984 4182257 6031476 8364514 12062952 12546771 16729028 25093542 33458056 37640313 46004827 50187084 75280626 92009654 100374168 112920939 138014481 150561252 184019308 225841878 276028962 301122504 368038616 414043443 451683756 552057924 828086886 903367512 1104115848 1242130329 1656173772 2484260658 3312347544 4968521316 9937042632 21233318789 42466637578 63699956367 84933275156 127399912734 169866550312 191099869101 233566506679 254799825468 382199738202 467133013358 509599650936 573299607303 700699520037 764399476404 934266026716 1146599214606 1401399040074 1528798952808 1868532053432 2102098560111 2293198429212 2802798080148 4204197120222 4586396858424 5605596160296 6306295680333 8408394240444 12612591360666 16816788480888 25225182721332 50450365442664