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45249098752 = 2101113309011
BaseRepresentation
bin101010001001000011…
…100111010000000000
311022210111011101022101
4222021003213100000
51220132232130002
632442005120144
73161212664464
oct521103472000
9138714141271
1045249098752
111820aa33690
1289299b9054
1343616c9560
1422937924a4
15129c745587
hexa890e7400

45249098752 has 88 divisors (see below), whose sum is σ = 106267990752. Its totient is φ = 18985574400.

The previous prime is 45249098723. The next prime is 45249098759. The reversal of 45249098752 is 25789094254.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (88).

It is a junction number, because it is equal to n+sod(n) for n = 45249098693 and 45249098702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45249098759) 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, 8074 + ... + 300937.

It is an arithmetic number, because the mean of its divisors is an integer number (1207590804).

Almost surely, 245249098752 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 45249098752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53133995376).

45249098752 is an abundant number, since it is smaller than the sum of its proper divisors (61018892000).

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

45249098752 is a wasteful number, since it uses less digits than its factorization.

45249098752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309055 (or 309037 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 55.

The spelling of 45249098752 in words is "forty-five billion, two hundred forty-nine million, ninety-eight thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 176 208 256 286 352 416 512 572 704 832 1024 1144 1408 1664 2288 2816 3328 4576 5632 6656 9152 11264 13312 18304 36608 73216 146432 309011 618022 1236044 2472088 3399121 4017143 4944176 6798242 8034286 9888352 13596484 16068572 19776704 27192968 32137144 39553408 44188573 54385936 64274288 79106816 88377146 108771872 128548576 158213632 176754292 217543744 257097152 316427264 353508584 435087488 514194304 707017168 870174976 1028388608 1414034336 1740349952 2056777216 2828068672 3480699904 4113554432 5656137344 11312274688 22624549376 45249098752