Search a number
-
+
45360899216640 = 283457314214789
BaseRepresentation
bin10100101000001011010000…
…10010001101010100000000
312221121110102001120220120000
422110011220102031110000
521421143110144413030
6240250302011320000
712361134240403020
oct1224055022152400
9187543361526500
1045360899216640
11134a94a4062737
1251072b5450000
131c4068c2c8757
14b2b69d04ba80
15539e1b274860
hex29416848d500

45360899216640 has 1440 divisors, whose sum is σ = 191975342254080. Its totient is φ = 10007823974400.

The previous prime is 45360899216629. The next prime is 45360899216657. The reversal of 45360899216640 is 4661299806354.

45360899216640 is a `hidden beast` number, since 4 + 5 + 3 + 608 + 9 + 9 + 2 + 16 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×453608992166402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9471891366 + ... + 9471896154.

Almost surely, 245360899216640 is an apocalyptic number.

45360899216640 is a gapful number since it is divisible by the number (40) 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 45360899216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95987671127040).

45360899216640 is an abundant number, since it is smaller than the sum of its proper divisors (146614443037440).

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

45360899216640 is a wasteful number, since it uses less digits than its factorization.

45360899216640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5281 (or 5258 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 45360899216640 in words is "forty-five trillion, three hundred sixty billion, eight hundred ninety-nine million, two hundred sixteen thousand, six hundred forty".