Search a number
-
+
45190919040 = 273523536937
BaseRepresentation
bin101010000101100101…
…101011001110000000
311022122102200112202020
4222011211223032000
51220022333402130
632432130121440
73156605321361
oct520545531600
9138572615666
1045190919040
1118190106383
128912420280
134352638ca7
142289b69b68
1512975a1e10
hexa8596b380

45190919040 has 64 divisors (see below), whose sum is σ = 144046060560. Its totient is φ = 12050911232.

The previous prime is 45190919027. The next prime is 45190919047. The reversal of 45190919040 is 4091909154.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 45190918983 and 45190919001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45190919047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11766549 + ... + 11770388.

Almost surely, 245190919040 is an apocalyptic number.

45190919040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45190919040 is an abundant number, since it is smaller than the sum of its proper divisors (98855141520).

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

45190919040 is a wasteful number, since it uses less digits than its factorization.

45190919040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23536959 (or 23536947 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 42.

The spelling of 45190919040 in words is "forty-five billion, one hundred ninety million, nine hundred nineteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 23536937 47073874 70610811 94147748 117684685 141221622 188295496 235369370 282443244 353054055 376590992 470738740 564886488 706108110 753181984 941477480 1129772976 1412216220 1506363968 1882954960 2259545952 2824432440 3012727936 3765909920 4519091904 5648864880 7531819840 9038183808 11297729760 15063639680 22595459520 45190919040