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6401260448 = 2511107169957
BaseRepresentation
bin1011111011000101…
…10111101110100000
3121112010002201112022
411331202313232200
5101102210313243
62535105121012
7314425546622
oct57542675640
917463081468
106401260448
1127953877a0
1212a7929168
137b025bc9b
1444a220c12
15276e99b68
hex17d8b7ba0

6401260448 has 48 divisors (see below), whose sum is σ = 13876730784. Its totient is φ = 2882453760.

The previous prime is 6401260391. The next prime is 6401260471. The reversal of 6401260448 is 8440621046.

It is a super-2 number, since 2×64012604482 = 81952270646258321408, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47315 + ... + 122642.

It is an arithmetic number, because the mean of its divisors is an integer number (289098558).

Almost surely, 26401260448 is an apocalyptic number.

It is an amenable number.

6401260448 is an abundant number, since it is smaller than the sum of its proper divisors (7475470336).

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

6401260448 is a wasteful number, since it uses less digits than its factorization.

6401260448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170085 (or 170077 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 6401260448 is about 80007.8774121649. The cubic root of 6401260448 is about 1856.7574104728.

The spelling of 6401260448 in words is "six billion, four hundred one million, two hundred sixty thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 107 176 214 352 428 856 1177 1712 2354 3424 4708 9416 18832 37664 169957 339914 679828 1359656 1869527 2719312 3739054 5438624 7478108 14956216 18185399 29912432 36370798 59824864 72741596 145483192 200039389 290966384 400078778 581932768 800157556 1600315112 3200630224 6401260448