Search a number
-
+
47075656408 = 231110122292
BaseRepresentation
bin101011110101111011…
…011000001011011000
311111111210011010100221
4223311323120023120
51232402332001113
633343134405424
73254402322454
oct536573301330
9144453133327
1047075656408
1118a67a87470
129159660874
134592c577c1
1423c81bd664
151357c9798d
hexaf5ed82d8

47075656408 has 72 divisors (see below), whose sum is σ = 97680476340. Its totient is φ = 21093648000.

The previous prime is 47075656361. The next prime is 47075656427. The reversal of 47075656408 is 80465657074.

It is a super-2 number, since 2×470756564082 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 205570438 + ... + 205570666.

Almost surely, 247075656408 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 47075656408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48840238170).

47075656408 is an abundant number, since it is smaller than the sum of its proper divisors (50604819932).

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

47075656408 is a wasteful number, since it uses less digits than its factorization.

47075656408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 52.

The spelling of 47075656408 in words is "forty-seven billion, seventy-five million, six hundred fifty-six thousand, four hundred eight".

Divisors: 1 2 4 8 11 22 44 88 101 202 229 404 458 808 916 1111 1832 2222 2519 4444 5038 8888 10076 10201 20152 20402 23129 40804 46258 52441 81608 92516 104882 112211 185032 209764 224422 254419 419528 448844 508838 576851 897688 1017676 1153702 2035352 2307404 2336029 4614808 4672058 5296541 9344116 10593082 18688232 21186164 25696319 42372328 51392638 58261951 102785276 116523902 205570552 233047804 466095608 534950641 1069901282 2139802564 4279605128 5884457051 11768914102 23537828204 47075656408