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10357242990052 = 2271913728111279
BaseRepresentation
bin1001011010110111101111…
…0010100000110111100100
31100200010212001221110200011
42112231323302200313210
52324143113201140202
634010015102100004
72116200064556530
oct226557362406744
940603761843604
1010357242990052
113333533722a62
1211b337787a604
135a18b748987a
1427b4168d0bc0
1512e637cacbd7
hex96b7bca0de4

10357242990052 has 144 divisors (see below), whose sum is σ = 22009321062400. Its totient is φ = 4166094332160.

The previous prime is 10357242990047. The next prime is 10357242990077. The reversal of 10357242990052 is 25009924275301.

It is a super-3 number, since 3×103572429900523 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10357242989978 and 10357242990005.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8097921949 + ... + 8097923227.

Almost surely, 210357242990052 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 10357242990052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11004660531200).

10357242990052 is an abundant number, since it is smaller than the sum of its proper divisors (11652078072348).

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

10357242990052 is a wasteful number, since it uses less digits than its factorization.

10357242990052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2394 (or 2255 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 49.

The spelling of 10357242990052 in words is "ten trillion, three hundred fifty-seven billion, two hundred forty-two million, nine hundred ninety thousand, fifty-two".

Divisors: 1 2 4 7 14 19 28 38 76 133 137 266 274 532 548 811 959 1279 1622 1918 2558 2603 3244 3836 5116 5206 5677 8953 10412 11354 15409 17906 18221 18769 22708 24301 30818 35812 36442 37538 48602 61636 72884 75076 97204 107863 111107 131383 170107 175223 215726 222214 262766 340214 350446 356611 431452 444428 525532 680428 700892 713222 777749 1037269 1226561 1426444 1555498 2074538 2111033 2453122 2496277 3110996 3329237 4149076 4222066 4906244 4992554 6658474 7260883 8444132 9985108 13316948 14521766 14777231 15221659 19708111 23304659 24005551 29043532 29554462 30443318 39416222 46609318 48011102 59108924 60886636 78832444 93218636 96022204 106551613 137956777 142105853 168038857 213103226 275913554 284211706 289211521 336077714 426206452 456105469 551827108 568423412 578423042 672155428 912210938 994740971 1156846084 1824421876 1989481942 2024480647 2700011207 3192738283 3978963884 4048961294 5400022414 6385476566 8097922588 10800044828 12770953132 18900078449 19468501861 37800156898 38937003722 75600313796 77874007444 136279513027 272559026054 369901535359 545118052108 739803070718 1479606141436 2589310747513 5178621495026 10357242990052