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1919025152 = 217114
BaseRepresentation
bin111001001100010…
…0000000000000000
311221201222120121122
41302120200000000
512412232301102
6514231211412
765361305342
oct16230400000
94851876548
101919025152
118a5270000
12456816b68
13247765355
14142c1b292
15b371a0a2
hex72620000

1919025152 has 90 divisors (see below), whose sum is σ = 4221813015. Its totient is φ = 872284160.

The previous prime is 1919025139. The next prime is 1919025167. The reversal of 1919025152 is 2515209191.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 959512576 + 959512576 = 30976^2 + 30976^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=30976.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 174456827 + ... + 174456837.

Almost surely, 21919025152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1919025152

1919025152 is an abundant number, since it is smaller than the sum of its proper divisors (2302787863).

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

1919025152 is an frugal number, since it uses more digits than its factorization.

1919025152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 13 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 35.

The square root of 1919025152 is about 43806.6793080690. The cubic root of 1919025152 is about 1242.6826140348.

The spelling of 1919025152 in words is "one billion, nine hundred nineteen million, twenty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 704 968 1024 1331 1408 1936 2048 2662 2816 3872 4096 5324 5632 7744 8192 10648 11264 14641 15488 16384 21296 22528 29282 30976 32768 42592 45056 58564 61952 65536 85184 90112 117128 123904 131072 170368 180224 234256 247808 340736 360448 468512 495616 681472 720896 937024 991232 1362944 1441792 1874048 1982464 2725888 3748096 3964928 5451776 7496192 7929856 10903552 14992384 15859712 21807104 29984768 43614208 59969536 87228416 119939072 174456832 239878144 479756288 959512576 1919025152