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41597353472 = 293115716693
BaseRepresentation
bin100110101111011001…
…010011111000000000
310222100222202111112012
4212233121103320000
51140142410302342
631035355352052
73001551446003
oct465731237000
9128328674465
1041597353472
1116706692384
12808aa52628
133bcbc9c82c
1420287b353a
151136d61b82
hex9af653e00

41597353472 has 80 divisors (see below), whose sum is σ = 86346175872. Its totient is φ = 19998351360.

The previous prime is 41597353463. The next prime is 41597353507. The reversal of 41597353472 is 27435379514.

It is a self number, because there is not a number n which added to its sum of digits gives 41597353472.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 2483558 + ... + 2500250.

Almost surely, 241597353472 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 41597353472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43173087936).

41597353472 is an abundant number, since it is smaller than the sum of its proper divisors (44748822400).

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

41597353472 is a wasteful number, since it uses less digits than its factorization.

41597353472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16899 (or 16883 counting only the distinct ones).

The product of its digits is 3175200, while the sum is 50.

The spelling of 41597353472 in words is "forty-one billion, five hundred ninety-seven million, three hundred fifty-three thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 157 248 256 314 496 512 628 992 1256 1984 2512 3968 4867 5024 7936 9734 10048 15872 16693 19468 20096 33386 38936 40192 66772 77872 80384 133544 155744 267088 311488 517483 534176 622976 1034966 1068352 1245952 2069932 2136704 2491904 2620801 4139864 4273408 5241602 8279728 8546816 10483204 16559456 20966408 33118912 41932816 66237824 81244831 83865632 132475648 162489662 167731264 264951296 324979324 335462528 649958648 670925056 1299917296 1341850112 2599834592 5199669184 10399338368 20798676736 41597353472