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48728545668 = 223211557220919
BaseRepresentation
bin101101011000011100…
…101001100110000100
311122202222100121011200
4231120130221212010
51244244001430133
634215141502500
73343352542545
oct553034514604
9148688317150
1048728545668
1119735aa2650
12953b111a30
13479751aa9a
1425039204cc
151402e42913
hexb58729984

48728545668 has 72 divisors (see below), whose sum is σ = 134614509120. Its totient is φ = 14739648960.

The previous prime is 48728545651. The next prime is 48728545669. The reversal of 48728545668 is 86654582784.

48728545668 is a `hidden beast` number, since 4 + 8 + 7 + 28 + 545 + 6 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (48728545669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110113 + ... + 331031.

It is an arithmetic number, because the mean of its divisors is an integer number (1869645960).

Almost surely, 248728545668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48728545668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67307254560).

48728545668 is an abundant number, since it is smaller than the sum of its proper divisors (85885963452).

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

48728545668 is a wasteful number, since it uses less digits than its factorization.

48728545668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221497 (or 221492 counting only the distinct ones).

The product of its digits is 103219200, while the sum is 63.

The spelling of 48728545668 in words is "forty-eight billion, seven hundred twenty-eight million, five hundred forty-five thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 557 1114 1671 2228 3342 5013 6127 6684 10026 12254 18381 20052 24508 36762 55143 73524 110286 220572 220919 441838 662757 883676 1325514 1988271 2430109 2651028 3976542 4860218 7290327 7953084 9720436 14580654 21870981 29161308 43741962 87483924 123051883 246103766 369155649 492207532 738311298 1107466947 1353570713 1476622596 2214933894 2707141426 4060712139 4429867788 5414282852 8121424278 12182136417 16242848556 24364272834 48728545668