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5331479616 = 26341760497
BaseRepresentation
bin1001111011100011…
…11110110001000000
3111202120010020010000
410331301332301000
541404324321431
62241012040000
7246055554231
oct47561766100
914676106100
105331479616
112296532601
121049603000
1366c72bc88
1438810b088
152130d29e6
hex13dc7ec40

5331479616 has 140 divisors (see below), whose sum is σ = 16734109788. Its totient is φ = 1672593408.

The previous prime is 5331479611. The next prime is 5331479623. The reversal of 5331479616 is 6169741335.

It is a happy number.

5331479616 is a `hidden beast` number, since 533 + 14 + 7 + 96 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4629441600 + 702038016 = 68040^2 + 26496^2 .

It is not an unprimeable number, because it can be changed into a prime (5331479611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 57880 + ... + 118376.

Almost surely, 25331479616 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 5331479616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8367054894).

5331479616 is an abundant number, since it is smaller than the sum of its proper divisors (11402630172).

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

5331479616 is a wasteful number, since it uses less digits than its factorization.

5331479616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60538 (or 60519 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 5331479616 is about 73016.9816960411. The cubic root of 5331479616 is about 1746.9584846099.

The spelling of 5331479616 in words is "five billion, three hundred thirty-one million, four hundred seventy-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 136 144 153 162 192 204 216 272 288 306 324 408 432 459 544 576 612 648 816 864 918 1088 1224 1296 1377 1632 1728 1836 2448 2592 2754 3264 3672 4896 5184 5508 7344 9792 11016 14688 22032 29376 44064 60497 88128 120994 181491 241988 362982 483976 544473 725964 967952 1028449 1088946 1451928 1633419 1935904 2056898 2177892 2903856 3085347 3266838 3871808 4113796 4355784 4900257 5807712 6170694 6533676 8227592 8711568 9256041 9800514 11615424 12341388 13067352 16455184 17423136 18512082 19601028 24682776 26134704 27768123 32910368 34846272 37024164 39202056 49365552 52269408 55536246 65820736 74048328 78404112 83304369 98731104 104538816 111072492 148096656 156808224 166608738 197462208 222144984 296193312 313616448 333217476 444289968 592386624 666434952 888579936 1332869904 1777159872 2665739808 5331479616