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100410060416 = 274861161377
BaseRepresentation
bin101110110000011100…
…1111110111010000000
3100121011202020120101112
41131200321332322000
53121114433413131
6114043332022452
710153153300631
oct1354071767200
9317152216345
10100410060416
1139646952606
1217563161a28
139612764243
144c076c3888
15292a23902b
hex1760e7ee80

100410060416 has 32 divisors (see below), whose sum is σ = 200078058180. Its totient is φ = 50194391040.

The previous prime is 100410060407. The next prime is 100410060451. The reversal of 100410060416 is 614060014001.

It can be written as a sum of positive squares in 2 ways, for example, as 70097857600 + 30312202816 = 264760^2 + 174104^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 100410060391 and 100410060400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 541520 + ... + 702896.

Almost surely, 2100410060416 is an apocalyptic number.

100410060416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100410060416 is a deficient number, since it is larger than the sum of its proper divisors (99667997764).

100410060416 is an equidigital number, since it uses as much as digits as its factorization.

100410060416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166252 (or 166240 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 100410060416 its reverse (614060014001), we get a palindrome (714470074417).

The spelling of 100410060416 in words is "one hundred billion, four hundred ten million, sixty thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 4861 9722 19444 38888 77776 155552 161377 311104 322754 622208 645508 1291016 2582032 5164064 10328128 20656256 784453597 1568907194 3137814388 6275628776 12551257552 25102515104 50205030208 100410060416