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634051283440 = 245172916076351
BaseRepresentation
bin10010011101000000110…
…01101100100111110000
32020121121010100110222011
421032200121230213300
540342014112032230
61203140143252304
763544244661601
oct11164031544760
92217533313864
10634051283440
11224999468863
12a2a725aa094
1347a3845b633
142298c791da8
151175e49be2a
hex93a066c9f0

634051283440 has 80 divisors (see below), whose sum is σ = 1614708794880. Its totient is φ = 230470553600.

The previous prime is 634051283419. The next prime is 634051283447. The reversal of 634051283440 is 44382150436.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×6340512834402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 634051283393 and 634051283402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (634051283447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7998736 + ... + 8077615.

It is an arithmetic number, because the mean of its divisors is an integer number (20183859936).

Almost surely, 2634051283440 is an apocalyptic number.

It is an amenable number.

634051283440 is an abundant number, since it is smaller than the sum of its proper divisors (980657511440).

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

634051283440 is a wasteful number, since it uses less digits than its factorization.

634051283440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16076410 (or 16076404 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The spelling of 634051283440 in words is "six hundred thirty-four billion, fifty-one million, two hundred eighty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 29 34 40 58 68 80 85 116 136 145 170 232 272 290 340 464 493 580 680 986 1160 1360 1972 2320 2465 3944 4930 7888 9860 19720 39440 16076351 32152702 64305404 80381755 128610808 160763510 257221616 273297967 321527020 466214179 546595934 643054040 932428358 1093191868 1286108080 1366489835 1864856716 2186383736 2331070895 2732979670 3729713432 4372767472 4662141790 5465959340 7459426864 7925641043 9324283580 10931918680 15851282086 18648567160 21863837360 31702564172 37297134320 39628205215 63405128344 79256410430 126810256688 158512820860 317025641720 634051283440