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45630650010 = 23511229214947
BaseRepresentation
bin101010011111110011…
…000111011010011010
311100210002010012020110
4222133303013122122
51221422421300020
632543515105150
73203525061021
oct523763073232
9140702105213
1045630650010
1118396348800
128a157421b6
1343c277b82a
1422cc3138b8
1512c0eb28e0
hexa9fcc769a

45630650010 has 144 divisors (see below), whose sum is σ = 124676723808. Its totient is φ = 10679813760.

The previous prime is 45630649997. The next prime is 45630650017. The reversal of 45630650010 is 1005603654.

It is a super-2 number, since 2×456306500102 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 45630650010.

It is not an unprimeable number, because it can be changed into a prime (45630650017) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3045357 + ... + 3060303.

It is an arithmetic number, because the mean of its divisors is an integer number (865810582).

Almost surely, 245630650010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45630650010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62338361904).

45630650010 is an abundant number, since it is smaller than the sum of its proper divisors (79046073798).

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

45630650010 is a wasteful number, since it uses less digits than its factorization.

45630650010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15037 (or 14997 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 45630650010 in words is "forty-five billion, six hundred thirty million, six hundred fifty thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 55 58 66 87 110 121 145 165 174 242 290 319 330 363 435 605 638 726 841 870 957 1210 1595 1682 1815 1914 2523 3190 3509 3630 4205 4785 5046 7018 8410 9251 9570 10527 12615 14947 17545 18502 21054 25230 27753 29894 35090 44841 46255 52635 55506 74735 89682 92510 101761 105270 138765 149470 164417 203522 224205 277530 305283 328834 433463 448410 493251 508805 610566 822085 866926 986502 1017610 1300389 1526415 1644170 1808587 2167315 2466255 2600778 3052830 3617174 4334630 4768093 4932510 5425761 6501945 9042935 9536186 10851522 12570427 13003890 14304279 18085870 23840465 25140854 27128805 28608558 37711281 47680930 52449023 54257610 62852135 71521395 75422562 104898046 125704270 138274697 143042790 157347069 188556405 262245115 276549394 314694138 377112810 414824091 524490230 691373485 786735345 829648182 1382746970 1521021667 1573470690 2074120455 3042043334 4148240910 4563065001 7605108335 9126130002 15210216670 22815325005 45630650010