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45277140500 = 2253374159693
BaseRepresentation
bin101010001010101110…
…100101011000010100
311022212102221001100122
4222022232211120110
51220211421444000
632444450131112
73162003226034
oct521256453024
9138772831318
1045277140500
1118224846889
128937280a98
1343674670c7
1422973b18c4
15129ee34085
hexa8aba5614

45277140500 has 96 divisors (see below), whose sum is σ = 104036613408. Its totient is φ = 17191296000.

The previous prime is 45277140487. The next prime is 45277140509. The reversal of 45277140500 is 504177254.

It can be written as a sum of positive squares in 16 ways, for example, as 43819886224 + 1457254276 = 209332^2 + 38174^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45277140509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 728654 + ... + 788346.

It is an arithmetic number, because the mean of its divisors is an integer number (1083714723).

Almost surely, 245277140500 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 45277140500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52018306704).

45277140500 is an abundant number, since it is smaller than the sum of its proper divisors (58759472908).

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

45277140500 is a wasteful number, since it uses less digits than its factorization.

45277140500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59790 (or 59778 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 35.

The spelling of 45277140500 in words is "forty-five billion, two hundred seventy-seven million, one hundred forty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 37 41 50 74 82 100 125 148 164 185 205 250 370 410 500 740 820 925 1025 1517 1850 2050 3034 3700 4100 4625 5125 6068 7585 9250 10250 15170 18500 20500 30340 37925 59693 75850 119386 151700 189625 238772 298465 379250 596930 758500 1193860 1492325 2208641 2447413 2984650 4417282 4894826 5969300 7461625 8834564 9789652 11043205 12237065 14923250 22086410 24474130 29846500 44172820 48948260 55216025 61185325 90554281 110432050 122370650 181108562 220864100 244741300 276080125 305926625 362217124 452771405 552160250 611853250 905542810 1104320500 1223706500 1811085620 2263857025 4527714050 9055428100 11319285125 22638570250 45277140500