Search a number
-
+
45343213552000 = 27537131729181349
BaseRepresentation
bin10100100111101010010100…
…01000110000000110000000
312221112202202111220001120201
422103311022020300012000
521420400400132131000
6240234215034214544
712356640046624360
oct1223651210600600
9187482674801521
1045343213552000
11134a1a48a56071
12510399a584454
131c3bb01244c30
14b2a8a22869a0
155397337ac96a
hex293d4a230180

45343213552000 has 2048 divisors, whose sum is σ = 153255473280000. Its totient is φ = 12931301376000.

The previous prime is 45343213551989. The next prime is 45343213552019. The reversal of 45343213552000 is 25531234354.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 129923247826 + ... + 129923248174.

Almost surely, 245343213552000 is an apocalyptic number.

45343213552000 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 45343213552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76627736640000).

45343213552000 is an abundant number, since it is smaller than the sum of its proper divisors (107912259728000).

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

45343213552000 is a wasteful number, since it uses less digits than its factorization.

45343213552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 37.

Adding to 45343213552000 its reverse (25531234354), we get a palindrome (45368744786354).

The spelling of 45343213552000 in words is "forty-five trillion, three hundred forty-three billion, two hundred thirteen million, five hundred fifty-two thousand".