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42653118744 = 233259109251367
BaseRepresentation
bin100111101110010100…
…101111000100011000
311002002120100221012200
4213232110233010120
51144323144244434
631332232210200
73036661345605
oct475624570430
9132076327180
1042653118744
11170a8634465
128324539960
134039933302
1420c8ab96ac
1511998ab199
hex9ee52f118

42653118744 has 192 divisors, whose sum is σ = 119351232000. Its totient is φ = 13755744000.

The previous prime is 42653118737. The next prime is 42653118749. The reversal of 42653118744 is 44781135624.

42653118744 is a `hidden beast` number, since 4 + 265 + 311 + 8 + 74 + 4 = 666.

42653118744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 42653118744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42653118749) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116220849 + ... + 116221215.

It is an arithmetic number, because the mean of its divisors is an integer number (621621000).

Almost surely, 242653118744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42653118744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59675616000).

42653118744 is an abundant number, since it is smaller than the sum of its proper divisors (76698113256).

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

42653118744 is a wasteful number, since it uses less digits than its factorization.

42653118744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 791 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The spelling of 42653118744 in words is "forty-two billion, six hundred fifty-three million, one hundred eighteen thousand, seven hundred forty-four".