Search a number
-
+
47117132288 = 295321812
BaseRepresentation
bin101011111000011001…
…100110001000000000
311111121200012022120122
4223320121212020000
51232443441213123
633351215355412
73255415005422
oct537031461000
9144550168518
1047117132288
1118a89435956
12916b522b68
13459b71a045
1423cd8d8812
15135b73bbc8
hexaf8666200

47117132288 has 90 divisors (see below), whose sum is σ = 96485072607. Its totient is φ = 22986362880.

The previous prime is 47117132261. The next prime is 47117132299. The reversal of 47117132288 is 88223171174.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 5062607104 + 42054525184 = 71152^2 + 205072^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=153488.

It is a super-2 number, since 2×471171322882 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 260315558 + ... + 260315738.

Almost surely, 247117132288 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 47117132288

47117132288 is an abundant number, since it is smaller than the sum of its proper divisors (49367940319).

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

47117132288 is an frugal number, since it uses more digits than its factorization.

47117132288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 236 counting only the distinct ones).

The product of its digits is 150528, while the sum is 44.

The spelling of 47117132288 in words is "forty-seven billion, one hundred seventeen million, one hundred thirty-two thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 32 53 64 106 128 181 212 256 362 424 512 724 848 1448 1696 2809 2896 3392 5618 5792 6784 9593 11236 11584 13568 19186 22472 23168 27136 32761 38372 44944 46336 65522 76744 89888 92672 131044 153488 179776 262088 306976 359552 508429 524176 613952 719104 1016858 1048352 1227904 1438208 1736333 2033716 2096704 2455808 3472666 4067432 4193408 4911616 6945332 8134864 8386816 13890664 16269728 16773632 27781328 32539456 55562656 65078912 92025649 111125312 130157824 184051298 222250624 260315648 368102596 444501248 736205192 889002496 1472410384 2944820768 5889641536 11779283072 23558566144 47117132288