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4465145300 = 2252711631919
BaseRepresentation
bin1000010100010010…
…01011010111010100
3102112011221212211212
410022021023113110
533121034122200
62015023320552
7215436052220
oct41211132724
912464855755
104465145300
111991504830
12a47450158
135620c1c15
14305035780
151b2006035
hex10a24b5d4

4465145300 has 144 divisors (see below), whose sum is σ = 12112558080. Its totient is φ = 1388016000.

The previous prime is 4465145297. The next prime is 4465145309. The reversal of 4465145300 is 35415644.

It is a super-2 number, since 2×44651453002 = 39875045100224180000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4465145309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4858241 + ... + 4859159.

Almost surely, 24465145300 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 4465145300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6056279040).

4465145300 is an abundant number, since it is smaller than the sum of its proper divisors (7647412780).

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

4465145300 is a wasteful number, since it uses less digits than its factorization.

4465145300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582 (or 1575 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 4465145300 is about 66821.7427189684. The cubic root of 4465145300 is about 1646.6900649766.

The spelling of 4465145300 in words is "four billion, four hundred sixty-five million, one hundred forty-five thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 631 700 770 919 1100 1262 1540 1838 1925 2524 3155 3676 3850 4417 4595 6310 6433 6941 7700 8834 9190 10109 12620 12866 13882 15775 17668 18380 20218 22085 22975 25732 27764 31550 32165 34705 40436 44170 45950 48587 50545 63100 64330 69410 70763 88340 91900 97174 101090 110425 128660 138820 141526 160825 173525 194348 202180 220850 242935 252725 283052 321650 347050 353815 441700 485870 505450 579889 643300 694100 707630 971740 1010900 1159778 1214675 1415260 1769075 2319556 2429350 2899445 3538150 4059223 4858700 5798890 6378779 7076300 8118446 11597780 12757558 14497225 16236892 20296115 25515116 28994450 31893895 40592230 44651453 57988900 63787790 81184460 89302906 101480575 127575580 159469475 178605812 202961150 223257265 318938950 405922300 446514530 637877900 893029060 1116286325 2232572650 4465145300