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10488400361780 = 22511400871189277
BaseRepresentation
bin1001100010100000010101…
…1000001011100100110100
31101010200101122200021211112
42120220011120023210310
52333320220443034110
634150145443454152
72131522224046505
oct230500530134464
941120348607745
1010488400361780
113384118632650
121214880087358
135b108a07b933
142838d9990bac
15132c6253b405
hex98a0560b934

10488400361780 has 48 divisors (see below), whose sum is σ = 24028591337856. Its totient is φ = 3813865418880.

The previous prime is 10488400361741. The next prime is 10488400361783. The reversal of 10488400361780 is 8716300488401.

It is a happy number.

It is a super-2 number, since 2×104884003617802 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10488400361783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8224502 + ... + 9413778.

It is an arithmetic number, because the mean of its divisors is an integer number (500595652872).

Almost surely, 210488400361780 is an apocalyptic number.

10488400361780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10488400361780 is an abundant number, since it is smaller than the sum of its proper divisors (13540190976076).

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

10488400361780 is a wasteful number, since it uses less digits than its factorization.

10488400361780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229384 (or 1229382 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 50.

The spelling of 10488400361780 in words is "ten trillion, four hundred eighty-eight billion, four hundred million, three hundred sixty-one thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 40087 80174 160348 200435 400870 440957 801740 881914 1189277 1763828 2204785 2378554 4409570 4757108 5946385 8819140 11892770 13082047 23785540 26164094 52328188 65410235 130820470 261640940 47674547099 95349094198 190698188396 238372735495 476745470990 524420018089 953490941980 1048840036178 2097680072356 2622100090445 5244200180890 10488400361780