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45401128528 = 2476728321379
BaseRepresentation
bin101010010010000111…
…100011111001010000
311100012002020021221211
4222102013203321100
51220440142103103
632505035425504
73165040140130
oct522207437120
9140162207854
1045401128528
1118288831928
1289708b5294
1343870592c2
1422a9a48ac0
1512aac7636d
hexa921e3e50

45401128528 has 80 divisors (see below), whose sum is σ = 102396858880. Its totient is φ = 19098592128.

The previous prime is 45401128519. The next prime is 45401128529. The reversal of 45401128528 is 82582110454.

It is a super-2 number, since 2×454011285282 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45401128529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2112943 + ... + 2134321.

It is an arithmetic number, because the mean of its divisors is an integer number (1279960736).

Almost surely, 245401128528 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 45401128528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51198429440).

45401128528 is an abundant number, since it is smaller than the sum of its proper divisors (56995730352).

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

45401128528 is a wasteful number, since it uses less digits than its factorization.

45401128528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21744 (or 21738 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 40.

The spelling of 45401128528 in words is "forty-five billion, four hundred one million, one hundred twenty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 67 112 134 268 283 469 536 566 938 1072 1132 1876 1981 2264 3752 3962 4528 7504 7924 15848 18961 21379 31696 37922 42758 75844 85516 132727 149653 151688 171032 265454 299306 303376 342064 530908 598612 1061816 1197224 1432393 2123632 2394448 2864786 5729572 6050257 10026751 11459144 12100514 20053502 22918288 24201028 40107004 42351799 48402056 80214008 84703598 96804112 160428016 169407196 338814392 405367219 677628784 810734438 1621468876 2837570533 3242937752 5675141066 6485875504 11350282132 22700564264 45401128528