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48556766736 = 243461212
BaseRepresentation
bin101101001110001101…
…010111011000010000
311122100000010022210000
4231032031113120100
51243421013013421
634150124010000
73336165464412
oct551615273020
9148300108700
1048556766736
1119658035595
1294b1690900
13476aa64b4a
1424c8ba69b2
1513e2d10226
hexb4e357610

48556766736 has 75 divisors (see below), whose sum is σ = 140560334013. Its totient is φ = 16182944640.

The previous prime is 48556766729. The next prime is 48556766737. The reversal of 48556766736 is 63766765584.

The square root of 48556766736 is 220356.

It is a perfect power (a square), and thus also a powerful number.

48556766736 is a `hidden beast` number, since 4 + 8 + 5 + 567 + 6 + 67 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5558597136 + 42998169600 = 74556^2 + 207360^2 .

It is not an unprimeable number, because it can be changed into a prime (48556766737) 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 14 ways as a sum of consecutive naturals, for example, 7929756 + ... + 7935876.

Almost surely, 248556766736 is an apocalyptic number.

48556766736 is the 220356-th square number.

It is an amenable number.

48556766736 is an abundant number, since it is smaller than the sum of its proper divisors (92003567277).

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

48556766736 is an frugal number, since it uses more digits than its factorization.

48556766736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12262 (or 6126 counting only the distinct ones).

The product of its digits is 152409600, while the sum is 63.

The spelling of 48556766736 in words is "forty-eight billion, five hundred fifty-six million, seven hundred sixty-six thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 6121 12242 18363 24484 36726 48968 55089 73452 97936 110178 146904 165267 220356 293808 330534 440712 495801 661068 881424 991602 1322136 1983204 2644272 3966408 7932816 37466641 74933282 112399923 149866564 224799846 299733128 337199769 449599692 599466256 674399538 899199384 1011599307 1348799076 1798398768 2023198614 2697598152 3034797921 4046397228 5395196304 6069595842 8092794456 12139191684 16185588912 24278383368 48556766736