Search a number
-
+
47486665728 = 2103229177677
BaseRepresentation
bin101100001110011011…
…010000010000000000
311112120102112120011100
4230032123100100000
51234223041300403
633452020014400
73300522666405
oct541633202000
9145512476140
1047486665728
1119158a91897
129253231400
13462a152198
142426a0c2ac
15137ddd32a3
hexb0e6d0400

47486665728 has 132 divisors (see below), whose sum is σ = 141845677740. Its totient is φ = 15282978816.

The previous prime is 47486665711. The next prime is 47486665729. The reversal of 47486665728 is 82756668474.

It can be written as a sum of positive squares in 2 ways, for example, as 36974674944 + 10511990784 = 192288^2 + 102528^2 .

It is not an unprimeable number, because it can be changed into a prime (47486665729) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 178426 + ... + 356102.

Almost surely, 247486665728 is an apocalyptic number.

47486665728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47486665728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70922838870).

47486665728 is an abundant number, since it is smaller than the sum of its proper divisors (94359012012).

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

47486665728 is a wasteful number, since it uses less digits than its factorization.

47486665728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177732 (or 177711 counting only the distinct ones).

The product of its digits is 108380160, while the sum is 63.

The spelling of 47486665728 in words is "forty-seven billion, four hundred eighty-six million, six hundred sixty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 256 261 288 348 384 464 512 522 576 696 768 928 1024 1044 1152 1392 1536 1856 2088 2304 2784 3072 3712 4176 4608 5568 7424 8352 9216 11136 14848 16704 22272 29696 33408 44544 66816 89088 133632 177677 267264 355354 533031 710708 1066062 1421416 1599093 2132124 2842832 3198186 4264248 5152633 5685664 6396372 8528496 10305266 11371328 12792744 15457899 17056992 20610532 22742656 25585488 30915798 34113984 41221064 45485312 46373697 51170976 61831596 68227968 82442128 90970624 92747394 102341952 123663192 136455936 164884256 181941248 185494788 204683904 247326384 272911872 329768512 370989576 409367808 494652768 545823744 659537024 741979152 818735616 989305536 1319074048 1483958304 1637471232 1978611072 2638148096 2967916608 3957222144 5276296192 5935833216 7914444288 11871666432 15828888576 23743332864 47486665728