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5269617100 = 22521111714091
BaseRepresentation
bin1001110100001011…
…11111100111001100
3111121020201021200201
410322011333213030
541243010221400
62230522103244
7244405002106
oct47205774714
914536637621
105269617100
11226461a360
12103094ab24
1365c97c337
1437dc06576
1520c96306a
hex13a17f9cc

5269617100 has 72 divisors (see below), whose sum is σ = 12488325696. Its totient is φ = 1914120000.

The previous prime is 5269617091. The next prime is 5269617113. The reversal of 5269617100 is 17169625.

It is a super-2 number, since 2×52696171002 = 55537728761224820000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5269617100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1286055 + ... + 1290145.

It is an arithmetic number, because the mean of its divisors is an integer number (173448968).

Almost surely, 25269617100 is an apocalyptic number.

5269617100 is a gapful number since it is divisible by the number (50) 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 5269617100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6244162848).

5269617100 is an abundant number, since it is smaller than the sum of its proper divisors (7218708596).

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

5269617100 is a wasteful number, since it uses less digits than its factorization.

5269617100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5287 (or 5280 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 37.

The square root of 5269617100 is about 72592.1283611384. The cubic root of 5269617100 is about 1740.1753797769.

It can be divided in two parts, 526961 and 7100, that added together give a triangular number (534061 = T1033).

The spelling of 5269617100 in words is "five billion, two hundred sixty-nine million, six hundred seventeen thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 1171 2342 4091 4684 5855 8182 11710 12881 16364 20455 23420 25762 29275 40910 45001 51524 58550 64405 81820 90002 102275 117100 128810 180004 204550 225005 257620 322025 409100 450010 644050 900020 1125025 1288100 2250050 4500100 4790561 9581122 19162244 23952805 47905610 52696171 95811220 105392342 119764025 210784684 239528050 263480855 479056100 526961710 1053923420 1317404275 2634808550 5269617100