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48724642784 = 252953039901
BaseRepresentation
bin101101011000001101…
…110000101111100000
311122202201000022102102
4231120031300233200
51244242002032114
634214522105532
73343304426066
oct553015605740
9148681008372
1048724642784
1119733877324
12953994b2a8
13479678249c
1425031c6036
1514029212de
hexb58370be0

48724642784 has 48 divisors (see below), whose sum is σ = 99263193120. Its totient is φ = 23515430400.

The previous prime is 48724642753. The next prime is 48724642789.

48724642784 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48724642789) 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 7 ways as a sum of consecutive naturals, for example, 4916234 + ... + 4926134.

It is an arithmetic number, because the mean of its divisors is an integer number (2067983190).

Almost surely, 248724642784 is an apocalyptic number.

It is an amenable number.

48724642784 is an abundant number, since it is smaller than the sum of its proper divisors (50538550336).

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

48724642784 is a wasteful number, since it uses less digits than its factorization.

48724642784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15243 (or 15235 counting only the distinct ones).

The product of its digits is 19267584, while the sum is 56.

The spelling of 48724642784 in words is "forty-eight billion, seven hundred twenty-four million, six hundred forty-two thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 928 5303 9901 10606 19802 21212 39604 42424 79208 84848 153787 158416 169696 287129 307574 316832 574258 615148 1148516 1230296 2297032 2460592 4594064 4921184 9188128 52505003 105010006 210020012 420040024 840080048 1522645087 1680160096 3045290174 6090580348 12181160696 24362321392 48724642784