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46415216641 = 1918176917551
BaseRepresentation
bin101011001110100100…
…000000000000000001
311102210202102022022211
4223032210000000001
51230024243413031
633153423102121
73232132555213
oct531644000001
9142722368284
1046415216641
11187591a8282
128bb4441941
1344b9189a41
1423645c25b3
151319cdbbb1
hexace900001

46415216641 has 16 divisors (see below), whose sum is σ = 49194745600. Its totient is φ = 43670016000.

The previous prime is 46415216621. The next prime is 46415216663. The reversal of 46415216641 is 14661251464.

It is a happy number.

It is a 8-Lehmer number, since φ(46415216641) divides (46415216641-1)8.

It is a cyclic number.

It is not a de Polignac number, because 46415216641 - 223 = 46406828033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 46415216594 and 46415216603.

It is not an unprimeable number, because it can be changed into a prime (46415216621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2635816 + ... + 2653366.

It is an arithmetic number, because the mean of its divisors is an integer number (3074671600).

It is a Proth number, since it is equal to 44265 ⋅ 220 + 1 and 44265 < 220.

Almost surely, 246415216641 is an apocalyptic number.

It is an amenable number.

46415216641 is a deficient number, since it is larger than the sum of its proper divisors (2779528959).

46415216641 is a wasteful number, since it uses less digits than its factorization.

46415216641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18520.

The product of its digits is 138240, while the sum is 40.

The spelling of 46415216641 in words is "forty-six billion, four hundred fifteen million, two hundred sixteen thousand, six hundred forty-one".

Divisors: 1 19 181 769 3439 14611 17551 139189 333469 2644591 3176731 13496719 60357889 256437661 2442906139 46415216641