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1830194016 = 25372723503
BaseRepresentation
bin110110100010110…
…1000101101100000
311201112211111012120
41231011220231200
512222012202031
6501335224240
763232251420
oct15505505540
94645744176
101830194016
1185a107942
12430b18080
13232232451
141350d6480
15aaa1ea96
hex6d168b60

1830194016 has 48 divisors (see below), whose sum is σ = 5490584064. Its totient is φ = 522912384.

The previous prime is 1830193987. The next prime is 1830194063. The reversal of 1830194016 is 6104910381.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×18301940162 = 6699220272404416512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1361080 + ... + 1362423.

It is an arithmetic number, because the mean of its divisors is an integer number (114387168).

Almost surely, 21830194016 is an apocalyptic number.

1830194016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1830194016 is an abundant number, since it is smaller than the sum of its proper divisors (3660390048).

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

1830194016 is a wasteful number, since it uses less digits than its factorization.

1830194016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2723523 (or 2723515 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 1830194016 is about 42780.7668935469. The cubic root of 1830194016 is about 1223.2044255487.

The spelling of 1830194016 in words is "one billion, eight hundred thirty million, one hundred ninety-four thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 2723503 5447006 8170509 10894012 16341018 19064521 21788024 32682036 38129042 43576048 57193563 65364072 76258084 87152096 114387126 130728144 152516168 228774252 261456288 305032336 457548504 610064672 915097008 1830194016