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41453720064 = 29328996033
BaseRepresentation
bin100110100110110101…
…011001001000000000
310221222222111011112100
4212212311121020000
51134344123020224
631013225030400
72665155543501
oct464665311000
9127888434470
1041453720064
11166425a9489
12804a925400
133ba82bc753
1420136a4ba8
15112943dac9
hex9a6d59200

41453720064 has 60 divisors (see below), whose sum is σ = 119638256166. Its totient is φ = 13817905152.

The previous prime is 41453720053. The next prime is 41453720069. The reversal of 41453720064 is 46002735414.

41453720064 is a `hidden beast` number, since 41 + 4 + 537 + 20 + 0 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 39014150400 + 2439569664 = 197520^2 + 49392^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (41453720069) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4493409 + ... + 4502624.

Almost surely, 241453720064 is an apocalyptic number.

It is an amenable number.

41453720064 is an abundant number, since it is smaller than the sum of its proper divisors (78184536102).

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

41453720064 is an equidigital number, since it uses as much as digits as its factorization.

41453720064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8996057 (or 8996038 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 41453720064 in words is "forty-one billion, four hundred fifty-three million, seven hundred twenty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 8996033 17992066 26988099 35984132 53976198 71968264 80964297 107952396 143936528 161928594 215904792 287873056 323857188 431809584 575746112 647714376 863619168 1151492224 1295428752 1727238336 2302984448 2590857504 3454476672 4605968896 5181715008 6908953344 10363430016 13817906688 20726860032 41453720064