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45361412364 = 223191133834597
BaseRepresentation
bin101010001111110000…
…000011100100001100
311100002022111111121210
4222033300003210030
51220400010143424
632501100254420
73164045433432
oct521760034414
9140068444553
1045361412364
1118268375554
12895b541410
13437ba61a08
1422a466ad52
1512a752d729
hexa8fc0390c

45361412364 has 96 divisors (see below), whose sum is σ = 112717946880. Its totient is φ = 14157739008.

The previous prime is 45361412311. The next prime is 45361412407. The reversal of 45361412364 is 46321416354.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9865314 + ... + 9869910.

It is an arithmetic number, because the mean of its divisors is an integer number (1174145280).

Almost surely, 245361412364 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 45361412364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56358973440).

45361412364 is an abundant number, since it is smaller than the sum of its proper divisors (67356534516).

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

45361412364 is a wasteful number, since it uses less digits than its factorization.

45361412364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5119 (or 5117 counting only the distinct ones).

The product of its digits is 207360, while the sum is 39.

The spelling of 45361412364 in words is "forty-five billion, three hundred sixty-one million, four hundred twelve thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 19 38 57 76 113 114 226 228 339 383 452 678 766 1149 1356 1532 2147 2298 4294 4596 4597 6441 7277 8588 9194 12882 13791 14554 18388 21831 25764 27582 29108 43279 43662 55164 86558 87324 87343 129837 173116 174686 259674 262029 349372 519348 519461 524058 822301 1038922 1048116 1558383 1644602 1760651 2077844 2466903 3116766 3289204 3521302 4933806 5281953 6233532 7042604 9867612 9869759 10563906 19739518 21127812 29609277 33452369 39479036 59218554 66904738 100357107 118437108 133809476 198953563 200714214 397907126 401428428 596860689 795814252 1193721378 2387442756 3780117697 7560235394 11340353091 15120470788 22680706182 45361412364