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5425871584 = 25773389853
BaseRepresentation
bin1010000110110100…
…00011101011100000
3112000010201211112211
411003122003223200
542103010342314
62254223131504
7251313101410
oct50332035340
915003654484
105425871584
1123348436a1
121075143b94
1368615b003
1439687c640
1521b52a9c4
hex143683ae0

5425871584 has 96 divisors (see below), whose sum is σ = 12421805760. Its totient is φ = 2284941312.

The previous prime is 5425871579. The next prime is 5425871587. The reversal of 5425871584 is 4851785245.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5425871587) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6360502 + ... + 6361354.

It is an arithmetic number, because the mean of its divisors is an integer number (129393810).

Almost surely, 25425871584 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 5425871584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6210902880).

5425871584 is an abundant number, since it is smaller than the sum of its proper divisors (6995934176).

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

5425871584 is a wasteful number, since it uses less digits than its factorization.

5425871584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1324 counting only the distinct ones).

The product of its digits is 1792000, while the sum is 49.

The square root of 5425871584 is about 73660.5157733775. The cubic root of 5425871584 is about 1757.2079939947.

The spelling of 5425871584 in words is "five billion, four hundred twenty-five million, eight hundred seventy-one thousand, five hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 73 112 146 224 292 389 511 584 778 853 1022 1168 1556 1706 2044 2336 2723 3112 3412 4088 5446 5971 6224 6824 8176 10892 11942 12448 13648 16352 21784 23884 27296 28397 43568 47768 56794 62269 87136 95536 113588 124538 191072 198779 227176 249076 331817 397558 435883 454352 498152 663634 795116 871766 908704 996304 1327268 1590232 1743532 1992608 2322719 2654536 3180464 3487064 4645438 5309072 6360928 6974128 9290876 10618144 13948256 18581752 24222641 37163504 48445282 74327008 96890564 169558487 193781128 339116974 387562256 678233948 775124512 1356467896 2712935792 5425871584