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201050130505248 = 2534151693511333
BaseRepresentation
bin101101101101101010100001…
…100111000101111000100000
3222100212012112021110000020000
4231231222201213011320200
5202323001131402131443
61551333053242420000
760230251441323213
oct5555524147057040
9870765467400200
10201050130505248
1159073977338872
121a670a41b01600
138824c3b35bb7b
143790c41c4d77a
151839b968788d3
hexb6daa19c5e20

201050130505248 has 120 divisors (see below), whose sum is σ = 591287903344908. Its totient is φ = 67016137314816.

The previous prime is 201050130505247. The next prime is 201050130505253. The reversal of 201050130505248 is 842505031050102.

201050130505248 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 50 + 1 + 30 + 50 + 524 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 181534339947024 + 19515790558224 = 13473468^2 + 4417668^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (201050130505247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 392932590 + ... + 393443922.

Almost surely, 2201050130505248 is an apocalyptic number.

It is an amenable number.

201050130505248 is an abundant number, since it is smaller than the sum of its proper divisors (390237772839660).

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

201050130505248 is a wasteful number, since it uses less digits than its factorization.

201050130505248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663048 (or 663031 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 201050130505248 in words is "two hundred one trillion, fifty billion, one hundred thirty million, five hundred five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 151693 303386 455079 511333 606772 910158 1022666 1213544 1365237 1533999 1820316 2045332 2427088 2730474 3067998 3640632 4090664 4095711 4601997 4854176 5460948 6135996 7281264 8181328 8191422 9203994 10921896 12271992 12287133 13805991 14562528 16362656 16382844 18407988 21843792 24543984 24574266 27611982 32765688 36815976 41417973 43687584 49087968 49148532 55223964 65531376 73631952 82835946 98297064 110447928 131062752 147263904 165671892 196594128 220895856 331343784 393188256 441791712 662687568 1325375136 77565636769 155131273538 232696910307 310262547076 465393820614 620525094152 698090730921 930787641228 1241050188304 1396181461842 1861575282456 2094272192763 2482100376608 2792362923684 3723150564912 4188544385526 5584725847368 6282816578289 7446301129824 8377088771052 11169451694736 12565633156578 16754177542104 22338903389472 25131266313156 33508355084208 50262532626312 67016710168416 100525065252624 201050130505248