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5411394816 = 283109127509
BaseRepresentation
bin1010000101000101…
…10101010100000000
3111222010111100011020
411002202311110000
542040304113231
62252544545440
7251046045162
oct50242652400
914863440136
105411394816
112327656023
121070322280
1368315c889
14394990932
1521a11b396
hex1428b5500

5411394816 has 144 divisors (see below), whose sum is σ = 14677555200. Its totient is φ = 1769693184.

The previous prime is 5411394803. The next prime is 5411394839. The reversal of 5411394816 is 6184931145.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10631170 + ... + 10631678.

Almost surely, 25411394816 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 5411394816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7338777600).

5411394816 is an abundant number, since it is smaller than the sum of its proper divisors (9266160384).

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

5411394816 is a wasteful number, since it uses less digits than its factorization.

5411394816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 750 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 5411394816 is about 73562.1833281204. The cubic root of 5411394816 is about 1755.6437998074.

The spelling of 5411394816 in words is "five billion, four hundred eleven million, three hundred ninety-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 109 127 128 192 218 254 256 327 381 384 436 508 509 654 762 768 872 1016 1018 1308 1524 1527 1744 2032 2036 2616 3048 3054 3488 4064 4072 5232 6096 6108 6976 8128 8144 10464 12192 12216 13843 13952 16256 16288 20928 24384 24432 27686 27904 32512 32576 41529 41856 48768 48864 55372 55481 64643 65152 83058 83712 97536 97728 110744 110962 129286 130304 166116 166443 193929 195456 221488 221924 258572 332232 332886 387858 390912 442976 443848 517144 664464 665772 775716 885952 887696 1034288 1328928 1331544 1551432 1771904 1775392 2068576 2657856 2663088 3102864 3543808 3550784 4137152 5315712 5326176 6205728 7046087 7101568 8274304 10631424 10652352 12411456 14092174 14203136 16548608 21138261 21304704 24822912 28184348 42276522 42609408 49645824 56368696 84553044 112737392 169106088 225474784 338212176 450949568 676424352 901899136 1352848704 1803798272 2705697408 5411394816