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69050742144 = 2737117914149
BaseRepresentation
bin100000001001110111…
…1101011010110000000
320121020021011010220020
41000103233223112000
52112403442222034
651415501013440
74663066424016
oct1002357532600
9217207133806
1069050742144
112731438664a
1211470b54280
136685895607
1434b09168b6
151be2104249
hex1013beb580

69050742144 has 128 divisors (see below), whose sum is σ = 187051680000. Its totient is φ = 22564362240.

The previous prime is 69050742139. The next prime is 69050742161. The reversal of 69050742144 is 44124705096.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 69050742096 and 69050742105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4873182 + ... + 4887330.

It is an arithmetic number, because the mean of its divisors is an integer number (1461341250).

Almost surely, 269050742144 is an apocalyptic number.

69050742144 is a gapful number since it is divisible by the number (64) 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 69050742144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93525840000).

69050742144 is an abundant number, since it is smaller than the sum of its proper divisors (118000937856).

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

69050742144 is a wasteful number, since it uses less digits than its factorization.

69050742144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14416 (or 14404 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 69050742144 in words is "sixty-nine billion, fifty million, seven hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 179 192 213 284 358 384 426 537 568 716 852 1074 1136 1432 1704 2148 2272 2864 3408 4296 4544 5728 6816 8592 9088 11456 12709 13632 14149 17184 22912 25418 27264 28298 34368 38127 42447 50836 56596 68736 76254 84894 101672 113192 152508 169788 203344 226384 305016 339576 406688 452768 610032 679152 813376 905536 1004579 1220064 1358304 1626752 1811072 2009158 2440128 2532671 2716608 3013737 4018316 4880256 5065342 5433216 6027474 7598013 8036632 10130684 12054948 15196026 16073264 20261368 24109896 30392052 32146528 40522736 48219792 60784104 64293056 81045472 96439584 121568208 128586112 162090944 179819641 192879168 243136416 324181888 359639282 385758336 486272832 539458923 719278564 972545664 1078917846 1438557128 2157835692 2877114256 4315671384 5754228512 8631342768 11508457024 17262685536 23016914048 34525371072 69050742144