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2603420974144 = 26139214512
BaseRepresentation
bin100101111000100111111…
…110110111110001000000
3100012212212212212101202101
4211320213332313301000
5320123301232133034
65311554534400144
7356043125104444
oct45704776676100
910185785771671
102603420974144
119141172a5941
12360688500054
1315b669b7c323
1490013200824
1547ac3347514
hex25e27fb7c40

2603420974144 has 63 divisors (see below), whose sum is σ = 5207186211591. Its totient is φ = 1291455004800.

The previous prime is 2603420974111. The next prime is 2603420974153. The reversal of 2603420974144 is 4414790243062.

The square root of 2603420974144 is 1613512.

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

It is a super-2 number, since 2×26034209741442 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2603420974094 and 2603420974103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1794224619 + ... + 1794226069.

Almost surely, 22603420974144 is an apocalyptic number.

2603420974144 is the 1613512-nd square number.

It is an amenable number.

2603420974144 is an abundant number, since it is smaller than the sum of its proper divisors (2603765237447).

2603420974144 is an frugal number, since it uses more digits than its factorization.

2603420974144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3192 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 46.

The spelling of 2603420974144 in words is "two trillion, six hundred three billion, four hundred twenty million, nine hundred seventy-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 139 278 556 1112 1451 2224 2902 4448 5804 8896 11608 19321 23216 38642 46432 77284 92864 154568 201689 309136 403378 618272 806756 1236544 1613512 2105401 3227024 4210802 6454048 8421604 12908096 16843208 28034771 33686416 56069542 67372832 112139084 134745664 224278168 292650739 448556336 585301478 897112672 1170602956 1794225344 2341205912 4682411824 9364823648 18729647296 40678452721 81356905442 162713810884 325427621768 650855243536 1301710487072 2603420974144