Search a number
-
+
45256968192 = 21137366043
BaseRepresentation
bin101010001001100001…
…101000100000000000
311022211000222012011010
4222021201220200000
51220141240440232
632442445520520
73161336611452
oct521141504000
9138730865133
1045256968192
1118214419057
128930573140
134363223427
1422948402d2
15129d29c0cc
hexa89868800

45256968192 has 48 divisors (see below), whose sum is σ = 120655800720. Its totient is φ = 15085654016.

The previous prime is 45256968151. The next prime is 45256968193. The reversal of 45256968192 is 29186965254.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (45256968193) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3676878 + ... + 3689165.

It is an arithmetic number, because the mean of its divisors is an integer number (2513662515).

Almost surely, 245256968192 is an apocalyptic number.

It is an amenable number.

45256968192 is an abundant number, since it is smaller than the sum of its proper divisors (75398832528).

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

45256968192 is an equidigital number, since it uses as much as digits as its factorization.

45256968192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7366068 (or 7366048 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 57.

The spelling of 45256968192 in words is "forty-five billion, two hundred fifty-six million, nine hundred sixty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 6144 7366043 14732086 22098129 29464172 44196258 58928344 88392516 117856688 176785032 235713376 353570064 471426752 707140128 942853504 1414280256 1885707008 2828560512 3771414016 5657121024 7542828032 11314242048 15085656064 22628484096 45256968192