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41597008848 = 2432288868117
BaseRepresentation
bin100110101111010111…
…111111101111010000
310222100222002222210100
4212233113333233100
51140142313240343
631035344132400
73001545512163
oct465727775720
9128328088710
1041597008848
111670647746a
12808a907100
133bcbbaba05
142028723ada
151136ce49d3
hex9af5ffbd0

41597008848 has 30 divisors (see below), whose sum is σ = 116413851554. Its totient is φ = 13865669568.

The previous prime is 41597008837. The next prime is 41597008861. The reversal of 41597008848 is 84880079514.

41597008848 is a `hidden beast` number, since 4 + 1 + 597 + 0 + 0 + 8 + 8 + 48 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26376358464 + 15220650384 = 162408^2 + 123372^2 .

It is a super-2 number, since 2×415970088482 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 41597008794 and 41597008803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 144433915 + ... + 144434202.

Almost surely, 241597008848 is an apocalyptic number.

41597008848 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

41597008848 is an abundant number, since it is smaller than the sum of its proper divisors (74816842706).

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

41597008848 is a wasteful number, since it uses less digits than its factorization.

41597008848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288868131 (or 288868122 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 41597008848 in words is "forty-one billion, five hundred ninety-seven million, eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 288868117 577736234 866604351 1155472468 1733208702 2310944936 2599813053 3466417404 4621889872 5199626106 6932834808 10399252212 13865669616 20798504424 41597008848