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634048720440 = 233543122877659
BaseRepresentation
bin10010011101000000011…
…11111010111000111000
32020121120221112021012020
421032200033322320320
540342012433023230
61203140012314440
763544214125362
oct11164017727070
92217527467166
10634048720440
11224997a78183
12a2a71772a20
1347a37a71b75
142298c2c5d32
151175e142810
hex93a03fae38

634048720440 has 64 divisors (see below), whose sum is σ = 1946382134400. Its totient is φ = 165147572352.

The previous prime is 634048720439. The next prime is 634048720441. The reversal of 634048720440 is 44027840436.

It is a happy number.

634048720440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (634048720439) and next prime (634048720441).

It is a junction number, because it is equal to n+sod(n) for n = 634048720392 and 634048720401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (634048720441) 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, 61433670 + ... + 61443989.

It is an arithmetic number, because the mean of its divisors is an integer number (30412220850).

Almost surely, 2634048720440 is an apocalyptic number.

634048720440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

634048720440 is an abundant number, since it is smaller than the sum of its proper divisors (1312333413960).

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

634048720440 is a wasteful number, since it uses less digits than its factorization.

634048720440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122877716 (or 122877712 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 42.

The spelling of 634048720440 in words is "six hundred thirty-four billion, forty-eight million, seven hundred twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1032 1290 1720 2580 5160 122877659 245755318 368632977 491510636 614388295 737265954 983021272 1228776590 1474531908 1843164885 2457553180 2949063816 3686329770 4915106360 5283739337 7372659540 10567478674 14745319080 15851218011 21134957348 26418696685 31702436022 42269914696 52837393370 63404872044 79256090055 105674786740 126809744088 158512180110 211349573480 317024360220 634048720440