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425701441764 = 223237229392
BaseRepresentation
bin1100011000111011100…
…10001000000011100100
31111200210212100220000100
412030131302020003210
523433314032114024
6523321535144100
742520164360054
oct6143562100344
91450725326010
10425701441764
111545a2402a65
126a606675030
13311b329a251
141686577b564
15b117e757c9
hex631dc880e4

425701441764 has 81 divisors (see below), whose sum is σ = 1106324312457. Its totient is φ = 138018355488.

The previous prime is 425701441757. The next prime is 425701441771. The reversal of 425701441764 is 467144107524.

The square root of 425701441764 is 652458.

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

425701441764 is a `hidden beast` number, since 4 + 2 + 570 + 1 + 4 + 4 + 1 + 76 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (425701441757) and next prime (425701441771).

It can be written as a sum of positive squares in only one way, i.e., 380923496100 + 44777945664 = 617190^2 + 211608^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 144844207 + ... + 144847145.

Almost surely, 2425701441764 is an apocalyptic number.

425701441764 is the 652458-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 425701441764

425701441764 is an abundant number, since it is smaller than the sum of its proper divisors (680622870693).

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

425701441764 is an equidigital number, since it uses as much as digits as its factorization.

425701441764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5962 (or 2981 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 425701441764 in words is "four hundred twenty-five billion, seven hundred one million, four hundred forty-one thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 1369 2738 2939 4107 5476 5878 8214 8817 11756 12321 16428 17634 24642 26451 35268 49284 52902 105804 108743 217486 326229 434972 652458 978687 1304916 1957374 3914748 4023491 8046982 8637721 12070473 16093964 17275442 24140946 25913163 34550884 36211419 48281892 51826326 72422838 77739489 103652652 144845676 155478978 310957956 319595677 639191354 958787031 1278382708 1917574062 2876361093 3835148124 5752722186 11505444372 11825040049 23650080098 35475120147 47300160196 70950240294 106425360441 141900480588 212850720882 425701441764