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1011984848892 = 22321967173127643
BaseRepresentation
bin11101011100111101111…
…11110101011111111100
310120202002222000211102100
432232132333311133330
5113040021110131032
62052522135225100
7133053633200313
oct16563677653774
93522088024370
101011984848892
113601a9079296
12144167818190
1374578256cc4
1436da203d27a
151b4cd9e297c
hexeb9eff57fc

1011984848892 has 144 divisors (see below), whose sum is σ = 2748716530560. Its totient is φ = 312982268544.

The previous prime is 1011984848879. The next prime is 1011984848893. The reversal of 1011984848892 is 2988484891101.

1011984848892 is a `hidden beast` number, since 10 + 1 + 19 + 8 + 48 + 488 + 92 = 666.

It is a super-2 number, since 2×10119848488922 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011984848893) 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, 7864423 + ... + 7992065.

It is an arithmetic number, because the mean of its divisors is an integer number (19088309240).

Almost surely, 21011984848892 is an apocalyptic number.

1011984848892 is a gapful number since it is divisible by the number (12) 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 1011984848892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374358265280).

1011984848892 is an abundant number, since it is smaller than the sum of its proper divisors (1736731681668).

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

1011984848892 is a wasteful number, since it uses less digits than its factorization.

1011984848892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127912 (or 127907 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 63.

The spelling of 1011984848892 in words is "one trillion, eleven billion, nine hundred eighty-four million, eight hundred forty-eight thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 67 76 114 134 171 173 201 228 268 342 346 402 519 603 684 692 804 1038 1206 1273 1557 2076 2412 2546 3114 3287 3819 5092 6228 6574 7638 9861 11457 11591 13148 15276 19722 22914 23182 29583 34773 39444 45828 46364 59166 69546 104319 118332 127643 139092 208638 220229 255286 382929 417276 440458 510572 660687 765858 880916 1148787 1321374 1531716 1982061 2297574 2425217 2642748 3964122 4595148 4850434 7275651 7928244 8552081 9700868 14551302 17104162 21826953 22082239 25656243 29102604 34208324 43653906 44164478 51312486 66246717 76968729 87307812 88328956 102624972 132493434 153937458 162489539 198740151 264986868 307874916 324979078 397480302 419562541 487468617 649958156 794960604 839125082 974937234 1258687623 1462405851 1479510013 1678250164 1949874468 2517375246 2924811702 2959020026 3776062869 4438530039 5034750492 5849623404 5918040052 7552125738 8877060078 13315590117 15104251476 17754120156 26631180234 28110690247 53262360468 56221380494 84332070741 112442760988 168664141482 252996212223 337328282964 505992424446 1011984848892