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4456235990017 = 723710972240597
BaseRepresentation
bin100000011011000110001…
…0111001111110000000001
3120210000022202012100200001
41000312030113033300001
51041002332403140032
613251055550400001
7636644452636600
oct100661427176001
916700282170601
104456235990017
111468974051679
125bb794500001
132642b511b0c6
1411597c111a37
157adb49493e7
hex40d8c5cfc01

4456235990017 has 24 divisors (see below), whose sum is σ = 5328742524264. Its totient is φ = 3713008142592.

The previous prime is 4456235990009. The next prime is 4456235990021. The reversal of 4456235990017 is 7100995326544.

It can be written as a sum of positive squares in 4 ways, for example, as 776652675841 + 3679583314176 = 881279^2 + 1918224^2 .

It is not a de Polignac number, because 4456235990017 - 23 = 4456235990009 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4456235990017.

It is not an unprimeable number, because it can be changed into a prime (4456235990047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 868563 + ... + 3109159.

It is an arithmetic number, because the mean of its divisors is an integer number (222030938511).

Almost surely, 24456235990017 is an apocalyptic number.

It is an amenable number.

4456235990017 is a deficient number, since it is larger than the sum of its proper divisors (872506534247).

4456235990017 is a wasteful number, since it uses less digits than its factorization.

4456235990017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2241745 (or 2241738 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 55.

The spelling of 4456235990017 in words is "four trillion, four hundred fifty-six billion, two hundred thirty-five million, nine hundred ninety thousand, seventeen".

Divisors: 1 7 37 49 259 1097 1813 7679 40589 53753 284123 1988861 2240597 15684179 82902089 109789253 580314623 2457934909 4062202361 17205544363 90943591633 120438810541 636605141431 4456235990017