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41546361640 = 23572922922343
BaseRepresentation
bin100110101100010110…
…110010101100101000
310222020102210211212211
4212230112302230220
51140041332033030
631030334414504
73000362150530
oct465426625450
9128212724784
1041546361640
111668a924473
128075961434
133bc1557b54
142021adc4c0
15113263d12a
hex9ac5b2b28

41546361640 has 128 divisors (see below), whose sum is σ = 111004992000. Its totient is φ = 13692607488.

The previous prime is 41546361631. The next prime is 41546361667. The reversal of 41546361640 is 4616364514.

It is a happy number.

It is a super-2 number, since 2×415463616402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 41546361593 and 41546361602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1848309 + ... + 1870651.

It is an arithmetic number, because the mean of its divisors is an integer number (867226500).

Almost surely, 241546361640 is an apocalyptic number.

41546361640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41546361640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55502496000).

41546361640 is an abundant number, since it is smaller than the sum of its proper divisors (69458630360).

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

41546361640 is a wasteful number, since it uses less digits than its factorization.

41546361640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22619 (or 22615 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 41546361640 in words is "forty-one billion, five hundred forty-six million, three hundred sixty-one thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 116 140 145 203 229 232 280 290 406 458 580 812 916 1015 1145 1160 1603 1624 1832 2030 2290 3206 4060 4580 6412 6641 8015 8120 9160 12824 13282 16030 22343 26564 32060 33205 44686 46487 53128 64120 66410 89372 92974 111715 132820 156401 178744 185948 223430 232435 265640 312802 371896 446860 464870 625604 647947 782005 893720 929740 1251208 1295894 1564010 1859480 2591788 3128020 3239735 4535629 5116547 5183576 6256040 6479470 9071258 10233094 12958940 18142516 20466188 22678145 25582735 25917880 35815829 36285032 40932376 45356290 51165470 71631658 90712580 102330940 143263316 148379863 179079145 181425160 204661880 286526632 296759726 358158290 593519452 716316580 741899315 1038659041 1187038904 1432633160 1483798630 2077318082 2967597260 4154636164 5193295205 5935194520 8309272328 10386590410 20773180820 41546361640