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1663242601100 = 2252232110928351
BaseRepresentation
bin11000001101000000111…
…111000000001010001100
312220000010020101111012112
4120031000333000022030
5204222310101213400
63312025541123152
7231110462562203
oct30150077001214
95800106344175
101663242601100
115914170a6773
1222a4206b94b8
13c0ac63b94b2
145a703a9823a
152d3e884c835
hex18340fc028c

1663242601100 has 108 divisors (see below), whose sum is σ = 3776517870720. Its totient is φ = 635774832000.

The previous prime is 1663242601087. The next prime is 1663242601109. The reversal of 1663242601100 is 11062423661.

It is a super-2 number, since 2×16632426011002 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1663242601109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 58651925 + ... + 58680275.

Almost surely, 21663242601100 is an apocalyptic number.

1663242601100 is a gapful number since it is divisible by the number (10) 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 1663242601100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1888258935360).

1663242601100 is an abundant number, since it is smaller than the sum of its proper divisors (2113275269620).

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

1663242601100 is a wasteful number, since it uses less digits than its factorization.

1663242601100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29520 (or 29490 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 1663242601100 in words is "one trillion, six hundred sixty-three billion, two hundred forty-two million, six hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 529 575 1058 1109 1150 2116 2218 2300 2645 4436 5290 5545 10580 11090 13225 22180 25507 26450 27725 28351 51014 52900 55450 56702 102028 110900 113404 127535 141755 255070 283510 510140 567020 586661 637675 652073 708775 1173322 1275350 1304146 1417550 2346644 2550700 2608292 2835100 2933305 3260365 5866610 6520730 11733220 13041460 14666525 14997679 16301825 29333050 29995358 31441259 32603650 58666100 59990716 62882518 65207300 74988395 125765036 149976790 157206295 299953580 314412590 374941975 628825180 723148957 749883950 786031475 1446297914 1499767900 1572062950 2892595828 3144125900 3615744785 7231489570 14462979140 16632426011 18078723925 33264852022 36157447850 66529704044 72314895700 83162130055 166324260110 332648520220 415810650275 831621300550 1663242601100