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2063153031424 = 2810728392
BaseRepresentation
bin11110000001011101100…
…000001110100100000000
321022020100200102020200221
4132001131200032210000
5232300314134001144
64215444401352424
7302025566262142
oct36013540164400
97266320366627
102063153031424
11725a84111041
12293a29938714
1311c7292c6714
1471bdddc2c92
1538a02451d84
hex1e05d80e900

2063153031424 has 81 divisors (see below), whose sum is σ = 4162055590147. Its totient is φ = 1020717573632.

The previous prime is 2063153031419. The next prime is 2063153031461. The reversal of 2063153031424 is 4241303513602.

It is a happy number.

The square root of 2063153031424 is 1436368.

It is a perfect power (a square), and thus also a powerful number.

It is a super-3 number, since 3×20631530314243 (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2063153031424.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2459061597 + ... + 2459062435.

Almost surely, 22063153031424 is an apocalyptic number.

2063153031424 is the 1436368-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2063153031424

2063153031424 is an abundant number, since it is smaller than the sum of its proper divisors (2098902558723).

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

2063153031424 is an frugal number, since it uses more digits than its factorization.

2063153031424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1908 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

The spelling of 2063153031424 in words is "two trillion, sixty-three billion, one hundred fifty-three million, thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 107 128 214 256 428 839 856 1678 1712 3356 3424 6712 6848 11449 13424 13696 22898 26848 27392 45796 53696 89773 91592 107392 179546 183184 214784 359092 366368 703921 718184 732736 1407842 1436368 1465472 2815684 2872736 2930944 5631368 5745472 9605711 11262736 11490944 19211422 22525472 22981888 38422844 45050944 75319547 76845688 90101888 150639094 153691376 180203776 301278188 307382752 602556376 614765504 1205112752 1229531008 2410225504 2459062016 4820451008 8059191529 9640902016 16118383058 19281804032 32236766116 64473532232 128947064464 257894128928 515788257856 1031576515712 2063153031424