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45533343104 = 274126873229
BaseRepresentation
bin101010011001111111…
…111010110110000000
311100112022000111020222
4222121333322312000
51221223013434404
632530121322212
73201234013304
oct523177726600
9140468014228
1045533343104
1118346426677
1289a9036368
1343a856ba92
1422bd423d04
1512b7690dbe
hexa99ffad80

45533343104 has 64 divisors (see below), whose sum is σ = 92986790400. Its totient is φ = 22196244480.

The previous prime is 45533343101. The next prime is 45533343109. The reversal of 45533343104 is 40134333554.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45533343101) 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, 14099762 + ... + 14102990.

It is an arithmetic number, because the mean of its divisors is an integer number (1452918600).

Almost surely, 245533343104 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 45533343104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46493395200).

45533343104 is an abundant number, since it is smaller than the sum of its proper divisors (47453447296).

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

45533343104 is a wasteful number, since it uses less digits than its factorization.

45533343104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5971 (or 5959 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 35.

Adding to 45533343104 its reverse (40134333554), we get a palindrome (85667676658).

The spelling of 45533343104 in words is "forty-five billion, five hundred thirty-three million, three hundred forty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 328 656 1312 2624 2687 3229 5248 5374 6458 10748 12916 21496 25832 42992 51664 85984 103328 110167 132389 171968 206656 220334 264778 343936 413312 440668 529556 881336 1059112 1762672 2118224 3525344 4236448 7050688 8472896 8676323 14101376 16945792 17352646 34705292 69410584 138821168 277642336 355729243 555284672 711458486 1110569344 1422916972 2845833944 5691667888 11383335776 22766671552 45533343104