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48720408529 = 132169792
BaseRepresentation
bin101101010111111101…
…100110111111010001
311122202102001012010011
4231113331212333101
51244234411033104
634214251234521
73343223432242
oct552775467721
9148672035104
1048720408529
1119731445041
129538448a41
13479592c100
142502802cc9
151402386904
hexb57f66fd1

48720408529 has 9 divisors (see below), whose sum is σ = 52759526043. Its totient is φ = 44970036072.

The previous prime is 48720408497. The next prime is 48720408557. The reversal of 48720408529 is 92580402784.

The square root of 48720408529 is 220727.

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

It can be written as a sum of positive squares in only one way, i.e., 7207161025 + 41513247504 = 84895^2 + 203748^2 .

It is not a de Polignac number, because 48720408529 - 25 = 48720408497 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48720408599) 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, 2860962 + ... + 2877940.

Almost surely, 248720408529 is an apocalyptic number.

48720408529 is the 220727-th square number.

48720408529 is the 110364-th centered octagonal number.

It is an amenable number.

48720408529 is a deficient number, since it is larger than the sum of its proper divisors (4039117514).

48720408529 is an frugal number, since it uses more digits than its factorization.

48720408529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33984 (or 16992 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 49.

Multiplying 48720408529 by its sum of digits (49), we get a square (2387300017921 = 15450892).

The spelling of 48720408529 in words is "forty-eight billion, seven hundred twenty million, four hundred eight thousand, five hundred twenty-nine".

Divisors: 1 13 169 16979 220727 2869451 288286441 3747723733 48720408529