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1990381135248 = 243411139617083
BaseRepresentation
bin11100111101101011111…
…101011110010110010000
321001021112002020220010000
4130331223331132112100
5230102300032311443
64122211331210000
7263541333334422
oct34755375362620
97037462226100
101990381135248
116a8130297390
122818ba746900
131158cc811a1c
146c4991c0812
1536b938088d3
hex1cf6bf5e590

1990381135248 has 100 divisors (see below), whose sum is σ = 6284444185008. Its totient is φ = 603145794240.

The previous prime is 1990381135229. The next prime is 1990381135273. The reversal of 1990381135248 is 8425311830991.

It is a happy number.

1990381135248 is a `hidden beast` number, since 1 + 9 + 9 + 0 + 381 + 13 + 5 + 248 = 666.

It is a super-2 number, since 2×19903811352482 (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1990381135194 and 1990381135203.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 69794286 + ... + 69822797.

Almost surely, 21990381135248 is an apocalyptic number.

1990381135248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1990381135248 is an abundant number, since it is smaller than the sum of its proper divisors (4294063049760).

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

1990381135248 is a wasteful number, since it uses less digits than its factorization.

1990381135248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139617114 (or 139617099 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 1990381135248 in words is "one trillion, nine hundred ninety billion, three hundred eighty-one million, one hundred thirty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 144 162 176 198 216 264 297 324 396 432 528 594 648 792 891 1188 1296 1584 1782 2376 3564 4752 7128 14256 139617083 279234166 418851249 558468332 837702498 1116936664 1256553747 1535787913 1675404996 2233873328 2513107494 3071575826 3350809992 3769661241 4607363739 5026214988 6143151652 6701619984 7539322482 9214727478 10052429976 11308983723 12286303304 13822091217 15078644964 18429454956 20104859952 22617967446 24572606608 27644182434 30157289928 36858909912 41466273651 45235934892 55288364868 60314579856 73717819824 82932547302 90471869784 110576729736 124398820953 165865094604 180943739568 221153459472 248797641906 331730189208 497595283812 663460378416 995190567624 1990381135248