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45751085744 = 2471399731517
BaseRepresentation
bin101010100110111110…
…100010101010110000
311101002110201222000012
4222212332202222300
51222144234220434
633003500314052
73206516545430
oct524676425260
9141073658005
1045751085744
1118448327971
128a49b42928
1344116c8b90
1423003042c0
1512cb8523ce
hexaa6fa2ab0

45751085744 has 80 divisors (see below), whose sum is σ = 109211635008. Its totient is φ = 18080603136.

The previous prime is 45751085711. The next prime is 45751085759. The reversal of 45751085744 is 44758015754.

45751085744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 45751085692 and 45751085701.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1435874 + ... + 1467390.

Almost surely, 245751085744 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 45751085744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54605817504).

45751085744 is an abundant number, since it is smaller than the sum of its proper divisors (63460549264).

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

45751085744 is a wasteful number, since it uses less digits than its factorization.

45751085744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32542 (or 32536 counting only the distinct ones).

The product of its (nonzero) digits is 3136000, while the sum is 50.

The spelling of 45751085744 in words is "forty-five billion, seven hundred fifty-one million, eighty-five thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 997 1456 1994 3988 6979 7976 12961 13958 15952 25922 27916 31517 51844 55832 63034 90727 103688 111664 126068 181454 207376 220619 252136 362908 409721 441238 504272 725816 819442 882476 1451632 1638884 1764952 2868047 3277768 3529904 5736094 6555536 11472188 22944376 31422449 45888752 62844898 125689796 219957143 251379592 408491837 439914286 502759184 816983674 879828572 1633967348 1759657144 2859442859 3267934696 3519314288 5718885718 6535869392 11437771436 22875542872 45751085744