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2101878416 = 241121085681
BaseRepresentation
bin111110101001000…
…0001111010010000
312102111001111010202
41331102001322100
513301040102131
6544322314332
7103041446261
oct17522017220
95374044122
102101878416
11989501400
124a7ab89a8
132765c7b51
1415d218968
15c47d8bcb
hex7d481e90

2101878416 has 30 divisors (see below), whose sum is σ = 4476266886. Its totient is φ = 955398400.

The previous prime is 2101878413. The next prime is 2101878431. The reversal of 2101878416 is 6148781012.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1971004816 + 130873600 = 44396^2 + 11440^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2101878416.

It is not an unprimeable number, because it can be changed into a prime (2101878413) 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, 540905 + ... + 544776.

Almost surely, 22101878416 is an apocalyptic number.

It is an amenable number.

2101878416 is an abundant number, since it is smaller than the sum of its proper divisors (2374388470).

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

2101878416 is a wasteful number, since it uses less digits than its factorization.

2101878416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085711 (or 1085694 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 38.

The square root of 2101878416 is about 45846.2475672764. The cubic root of 2101878416 is about 1280.9608703103.

The spelling of 2101878416 in words is "two billion, one hundred one million, eight hundred seventy-eight thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 1085681 2171362 4342724 8685448 11942491 17370896 23884982 47769964 95539928 131367401 191079856 262734802 525469604 1050939208 2101878416