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45770669448 = 2337312283501
BaseRepresentation
bin101010101000001001…
…001111110110001000
311101010211120220210120
4222220021033312020
51222214242410243
633005440143240
73210145161660
oct525011176610
9141124526716
1045770669448
1118458393449
128a54607b20
13441579497a
142302b611a0
1512cd41ec83
hexaa824fd88

45770669448 has 96 divisors (see below), whose sum is σ = 135128393280. Its totient is φ = 12655440000.

The previous prime is 45770669447. The next prime is 45770669501. The reversal of 45770669448 is 84496607754.

It is a junction number, because it is equal to n+sod(n) for n = 45770669391 and 45770669400.

It is not an unprimeable number, because it can be changed into a prime (45770669443) 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, 19698 + ... + 303198.

It is an arithmetic number, because the mean of its divisors is an integer number (1407587430).

Almost surely, 245770669448 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 45770669448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67564196640).

45770669448 is an abundant number, since it is smaller than the sum of its proper divisors (89357723832).

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

45770669448 is a wasteful number, since it uses less digits than its factorization.

45770669448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283579 (or 283544 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 60.

The spelling of 45770669448 in words is "forty-five billion, seven hundred seventy million, six hundred sixty-nine thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 744 868 961 1302 1736 1922 2604 2883 3844 5208 5766 6727 7688 11532 13454 20181 23064 26908 40362 53816 80724 161448 283501 567002 850503 1134004 1701006 1984507 2268008 3402012 3969014 5953521 6804024 7938028 8788531 11907042 15876056 17577062 23814084 26365593 35154124 47628168 52731186 61519717 70308248 105462372 123039434 184559151 210924744 246078868 272444461 369118302 492157736 544888922 738236604 817333383 1089777844 1476473208 1634666766 1907111227 2179555688 3269333532 3814222454 5721333681 6538667064 7628444908 11442667362 15256889816 22885334724 45770669448