Search a number
-
+
45369101568 = 283723793181
BaseRepresentation
bin101010010000001101…
…011000110100000000
311100002211222011020010
4222100031120310000
51220403442222233
632501533144520
73164201000100
oct522015306400
9140084864203
1045369101568
111827174756a
12896202b140
13438052483b
1422a56ad200
1512a804bb63
hexa90358d00

45369101568 has 216 divisors, whose sum is σ = 140876813280. Its totient is φ = 12924334080.

The previous prime is 45369101549. The next prime is 45369101587. The reversal of 45369101568 is 86510196354.

It is an interprime number because it is at equal distance from previous prime (45369101549) and next prime (45369101587).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14260938 + ... + 14264118.

Almost surely, 245369101568 is an apocalyptic number.

45369101568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45369101568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70438406640).

45369101568 is an abundant number, since it is smaller than the sum of its proper divisors (95507711712).

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

45369101568 is a wasteful number, since it uses less digits than its factorization.

45369101568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3593 (or 3572 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 48.

The spelling of 45369101568 in words is "forty-five billion, three hundred sixty-nine million, one hundred one thousand, five hundred sixty-eight".