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48487599601 = 728323792
BaseRepresentation
bin101101001010000101…
…100000110111110001
311122011011222021022021
4231022011200313301
51243300311141401
634135213311441
73334365540100
oct551205406761
9148134867267
1048487599601
1119621a93271
129492495581
13475962844c
1424bd920037
1513dbbeb2a1
hexb4a160df1

48487599601 has 27 divisors (see below), whose sum is σ = 57242730681. Its totient is φ = 40951729224.

The previous prime is 48487599593. The next prime is 48487599619. The reversal of 48487599601 is 10699578484.

The square root of 48487599601 is 220199.

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

It is not a de Polignac number, because 48487599601 - 23 = 48487599593 is a prime.

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 48487599601.

It is not an unprimeable number, because it can be changed into a prime (48487599701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 127935430 + ... + 127935808.

Almost surely, 248487599601 is an apocalyptic number.

48487599601 is the 220199-th square number.

48487599601 is the 110100-th centered octagonal number.

It is an amenable number.

48487599601 is a deficient number, since it is larger than the sum of its proper divisors (8755131080).

48487599601 is an frugal number, since it uses more digits than its factorization.

48487599601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 61.

The spelling of 48487599601 in words is "forty-eight billion, four hundred eighty-seven million, five hundred ninety-nine thousand, six hundred one".

Divisors: 1 7 49 83 379 581 2653 4067 6889 18571 31457 48223 143641 220199 337561 1005487 1541393 2610931 7038409 11922203 18276517 83455421 127935619 584187947 989542849 6926799943 48487599601