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4282120010685 = 351143811839887
BaseRepresentation
bin111110010100000010001…
…111011111101110111101
3120011100220022021011100210
4332110002033133232331
51030124240210320220
613035102340543033
7621241632350646
oct76240217375675
916140808234323
104282120010685
1114010451252a0
12591aa13b1a79
13250a575257ba
1410b3819746cd
15765c3ab96e0
hex3e5023dfbbd

4282120010685 has 128 divisors (see below), whose sum is σ = 7675266170880. Its totient is φ = 2020700908800.

The previous prime is 4282120010671. The next prime is 4282120010687. The reversal of 4282120010685 is 5860100212824.

It is a happy number.

It is not a de Polignac number, because 4282120010685 - 24 = 4282120010669 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4282120010687) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4827643312 + ... + 4827644198.

It is an arithmetic number, because the mean of its divisors is an integer number (59963016960).

Almost surely, 24282120010685 is an apocalyptic number.

It is an amenable number.

4282120010685 is a deficient number, since it is larger than the sum of its proper divisors (3393146160195).

4282120010685 is a wasteful number, since it uses less digits than its factorization.

4282120010685 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2599.

The product of its (nonzero) digits is 61440, while the sum is 39.

The spelling of 4282120010685 in words is "four trillion, two hundred eighty-two billion, one hundred twenty million, ten thousand, six hundred eighty-five".

Divisors: 1 3 5 11 15 33 43 55 129 165 215 473 645 811 839 887 1419 2365 2433 2517 2661 4055 4195 4435 7095 8921 9229 9757 12165 12585 13305 26763 27687 29271 34873 36077 38141 44605 46145 48785 104619 108231 114423 133815 138435 146355 174365 180385 190705 383603 396847 419551 523095 541155 572115 680429 719357 744193 1150809 1190541 1258653 1918015 1984235 2041287 2097755 2158071 2232579 3402145 3596785 3720965 5754045 5952705 6293265 7484719 7912927 8186123 10206435 10790355 11162895 22454157 23738781 24558369 29258447 30932351 32000299 37423595 39564635 40930615 87775341 92797053 96000897 112270785 118693905 122791845 146292235 154661755 160001495 321842917 340255861 352003289 438876705 463985265 480004485 603540523 965528751 1020767583 1056009867 1609214585 1701279305 1760016445 1810621569 3017702615 4827643755 5103837915 5280049335 6638945753 9053107845 19916837259 25952242489 33194728765 77856727467 99584186295 129761212445 285474667379 389283637335 856424002137 1427373336895 4282120010685