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41280486976 = 2610922332
BaseRepresentation
bin100110011100100000…
…100011111001000000
310221112220112000102001
4212130200203321000
51134020301040401
630544120033344
72660653230661
oct463440437100
9127486460361
1041280486976
1116563838943
128000902854
133b7b447971
141dd868d368
151119120601
hex99c823e40

41280486976 has 63 divisors (see below), whose sum is σ = 83030732211. Its totient is φ = 20363111424.

The previous prime is 41280486959. The next prime is 41280486977. The reversal of 41280486976 is 67968408214.

It is a happy number.

The square root of 41280486976 is 203176.

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

It can be written as a sum of positive squares in 4 ways, for example, as 547560000 + 40732926976 = 23400^2 + 201824^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41280486977) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 177169356 + ... + 177169588.

Almost surely, 241280486976 is an apocalyptic number.

41280486976 is the 203176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41280486976

41280486976 is an abundant number, since it is smaller than the sum of its proper divisors (41750245235).

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

41280486976 is an frugal number, since it uses more digits than its factorization.

41280486976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 55.

The spelling of 41280486976 in words is "forty-one billion, two hundred eighty million, four hundred eighty-six thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 109 218 233 436 466 872 932 1744 1864 3488 3728 6976 7456 11881 14912 23762 25397 47524 50794 54289 95048 101588 108578 190096 203176 217156 380192 406352 434312 760384 812704 868624 1625408 1737248 2768273 3474496 5536546 5917501 11073092 11835002 22146184 23670004 44292368 47340008 88584736 94680016 177169472 189360032 378720064 645007609 1290015218 2580030436 5160060872 10320121744 20640243488 41280486976