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41453300744192 = 218413856873
BaseRepresentation
bin10010110110011100110010…
…10001000000000000000000
312102202220012210200011020002
421123032121101000000000
520413132324442303232
6224055214454535132
711505621302411321
oct1133163121000000
9172686183604202
1041453300744192
1112232278648377
124795b166674a8
131a1904ca2430c
14a344c9946448
154bd4673beb62
hex25b399440000

41453300744192 has 76 divisors (see below), whose sum is σ = 84928573751196. Its totient is φ = 20221117071360.

The previous prime is 41453300744189. The next prime is 41453300744209. The reversal of 41453300744192 is 29144700335414.

It can be written as a sum of positive squares in 2 ways, for example, as 5242561232896 + 36210739511296 = 2289664^2 + 6017536^2 .

It is a super-2 number, since 2×414533007441922 (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8819468 + ... + 12676340.

Almost surely, 241453300744192 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 41453300744192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42464286875598).

41453300744192 is an abundant number, since it is smaller than the sum of its proper divisors (43475273007004).

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

41453300744192 is an frugal number, since it uses more digits than its factorization.

41453300744192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3856950 (or 3856916 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 47.

The spelling of 41453300744192 in words is "forty-one trillion, four hundred fifty-three billion, three hundred million, seven hundred forty-four thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 512 656 1024 1312 2048 2624 4096 5248 8192 10496 16384 20992 32768 41984 65536 83968 131072 167936 262144 335872 671744 1343488 2686976 3856873 5373952 7713746 10747904 15427492 30854984 61709968 123419936 158131793 246839872 316263586 493679744 632527172 987359488 1265054344 1974718976 2530108688 3949437952 5060217376 7898875904 10120434752 15797751808 20240869504 31595503616 40481739008 63191007232 80963478016 126382014464 161926956032 252764028928 323853912064 505528057856 647707824128 1011056115712 1295415648256 2590831296512 5181662593024 10363325186048 20726650372096 41453300744192