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8827001360144 = 24112409106310487
BaseRepresentation
bin1000000001110011001001…
…0001111100111100010000
31011020212000220100100122122
42000130302101330330100
52124110144322011034
630435022441153412
71600505215410662
oct200346221747420
934225026310578
108827001360144
1128a356816a500
12ba6894a8b868
134c04c89094c6
1422732cabc532
151049259aa62e
hex8073247cf10

8827001360144 has 120 divisors (see below), whose sum is σ = 18863900549760. Its totient is φ = 3998316833280.

The previous prime is 8827001360117. The next prime is 8827001360161. The reversal of 8827001360144 is 4410631007288.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 8827001360095 and 8827001360104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 841703669 + ... + 841714155.

It is an arithmetic number, because the mean of its divisors is an integer number (157199171248).

Almost surely, 28827001360144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8827001360144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9431950274880).

8827001360144 is an abundant number, since it is smaller than the sum of its proper divisors (10036899189616).

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

8827001360144 is a wasteful number, since it uses less digits than its factorization.

8827001360144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11989 (or 11972 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The spelling of 8827001360144 in words is "eight trillion, eight hundred twenty-seven billion, one million, three hundred sixty thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 409 484 818 968 1063 1636 1936 2126 3272 4252 4499 6544 8504 8998 10487 11693 17008 17996 20974 23386 35992 41948 46772 49489 71984 83896 93544 98978 115357 128623 167792 187088 197956 230714 257246 395912 434767 461428 514492 791824 869534 922856 1028984 1268927 1739068 1845712 2057968 2537854 3478136 4289183 4782437 5075708 6956272 8578366 9564874 10151416 11147681 17156732 19129748 20302832 22295362 34313464 38259496 44590724 47181013 52606807 68626928 76518992 89181448 94362026 105213614 122624491 178362896 188724052 210427228 245248982 377448104 420854456 490497964 518991143 754896208 841708912 980995928 1037982286 1348869401 1961991856 2075964572 2697738802 4151929144 4559401529 5395477604 8303858288 9118803058 10790955208 18237606116 21581910416 36475212232 50153416819 72950424464 100306833638 200613667276 401227334552 551687585009 802454669104 1103375170018 2206750340036 4413500680072 8827001360144