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4278016540248 = 23311711371665941
BaseRepresentation
bin111110010000001101101…
…001111111111001011000
3120010222022022212021011020
4332100031221333321120
51030042334213241443
613033143233202440
7621035144416203
oct76201551777130
916128268767136
104278016540248
1113aa32989a210
12591137100420
13250552346a99
1410b0b29a893a
1576433706583
hex3e40da7fe58

4278016540248 has 128 divisors (see below), whose sum is σ = 11918015792640. Its totient is φ = 1268779904000.

The previous prime is 4278016540247. The next prime is 4278016540253. The reversal of 4278016540248 is 8420456108724.

It is a self number, because there is not a number n which added to its sum of digits gives 4278016540248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4278016540247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1734958 + ... + 3400898.

It is an arithmetic number, because the mean of its divisors is an integer number (93109498380).

Almost surely, 24278016540248 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 4278016540248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5959007896320).

4278016540248 is an abundant number, since it is smaller than the sum of its proper divisors (7639999252392).

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

4278016540248 is a wasteful number, since it uses less digits than its factorization.

4278016540248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666169 (or 1666165 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 51.

The spelling of 4278016540248 in words is "four trillion, two hundred seventy-eight billion, sixteen million, five hundred forty thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 71 88 132 137 142 213 264 274 284 411 426 548 568 781 822 852 1096 1507 1562 1644 1704 2343 3014 3124 3288 4521 4686 6028 6248 9042 9372 9727 12056 18084 18744 19454 29181 36168 38908 58362 77816 106997 116724 213994 233448 320991 427988 641982 855976 1283964 1665941 2567928 3331882 4997823 6663764 9995646 13327528 18325351 19991292 36650702 39982584 54976053 73301404 109952106 118281811 146602808 219904212 228233917 236563622 354845433 439808424 456467834 473127244 684701751 709690866 912935668 946254488 1301099921 1369403502 1419381732 1825871336 2510573087 2602199842 2738807004 2838763464 3903299763 5021146174 5204399684 5477614008 7531719261 7806599526 10042292348 10408799368 15063438522 15613199052 16204608107 20084584696 30126877044 31226398104 32409216214 48613824321 60253754088 64818432428 97227648642 129636864856 178250689177 194455297284 356501378354 388910594568 534752067531 713002756708 1069504135062 1426005513416 2139008270124 4278016540248