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19937933260240 = 2451931291316921
BaseRepresentation
bin1001000100010001010010…
…11011011111010111010000
32121121001021211221102221111
410202020221123133113100
510103130341403311430
6110223205440303104
74125316400314552
oct442105133372720
977531254842844
1019937933260240
1163976a25a9896
1222a0131611a94
13b181a6612918
144cd0030d94d2
15248970e8ac2a
hex1222296df5d0

19937933260240 has 40 divisors (see below), whose sum is σ = 46595879813448. Its totient is φ = 7933851156480.

The previous prime is 19937933260229. The next prime is 19937933260277. The reversal of 19937933260240 is 4206233973991.

It can be written as a sum of positive squares in 4 ways, for example, as 23955610176 + 19913977650064 = 154776^2 + 4462508^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×199379332602403 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 645643021 + ... + 645673900.

Almost surely, 219937933260240 is an apocalyptic number.

19937933260240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19937933260240 is an abundant number, since it is smaller than the sum of its proper divisors (26657946553208).

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

19937933260240 is a wasteful number, since it uses less digits than its factorization.

19937933260240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291317127 (or 1291317121 counting only the distinct ones).

The product of its (nonzero) digits is 13226976, while the sum is 58.

The spelling of 19937933260240 in words is "nineteen trillion, nine hundred thirty-seven billion, nine hundred thirty-three million, two hundred sixty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 193 386 772 965 1544 1930 3088 3860 7720 15440 1291316921 2582633842 5165267684 6456584605 10330535368 12913169210 20661070736 25826338420 51652676840 103305353680 249224165753 498448331506 996896663012 1246120828765 1993793326024 2492241657530 3987586652048 4984483315060 9968966630120 19937933260240