Search a number
-
+
47002325328 = 2433727895573
BaseRepresentation
bin101011110001100011…
…101001000101010000
311111022200011112001000
4223301203221011100
51232230043402303
633331554542000
73252522113310
oct536143510520
9144280145030
1047002325328
1118a2a650772
129138b97900
1345809c0a2a
1423bc571440
15135160eda3
hexaf18e9150

47002325328 has 160 divisors (see below), whose sum is σ = 154270483200. Its totient is φ = 13422011904.

The previous prime is 47002325309. The next prime is 47002325347. The reversal of 47002325328 is 82352320074.

47002325328 is a `hidden beast` number, since 4 + 7 + 0 + 0 + 2 + 325 + 328 = 666.

It is an interprime number because it is at equal distance from previous prime (47002325309) and next prime (47002325347).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 47002325292 and 47002325301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8431150 + ... + 8436722.

It is an arithmetic number, because the mean of its divisors is an integer number (964190520).

Almost surely, 247002325328 is an apocalyptic number.

47002325328 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 47002325328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77135241600).

47002325328 is an abundant number, since it is smaller than the sum of its proper divisors (107268157872).

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

47002325328 is a wasteful number, since it uses less digits than its factorization.

47002325328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8386 (or 8374 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 47002325328 in words is "forty-seven billion, two million, three hundred twenty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 2789 3024 5573 5578 8367 11146 11156 16719 16734 19523 22292 22312 25101 33438 33468 39011 39046 44584 44624 50157 50202 58569 66876 66936 75303 78022 78092 89168 100314 100404 117033 117138 133752 133872 150471 150606 156044 156184 175707 200628 200808 234066 234276 267504 300942 301212 312088 312368 351099 351414 401256 401616 468132 468552 527121 601884 602424 624176 702198 702828 802512 936264 937104 1053297 1054242 1203768 1204848 1404396 1405656 1872528 2106594 2108484 2407536 2808792 2811312 4213188 4216968 5617584 8426376 8433936 15543097 16852752 31086194 46629291 62172388 93258582 108801679 124344776 139887873 186517164 217603358 248689552 279775746 326405037 373034328 419663619 435206716 559551492 652810074 746068656 839327238 870413432 979215111 1119102984 1305620148 1678654476 1740826864 1958430222 2238205968 2611240296 2937645333 3357308952 3916860444 5222480592 5875290666 6714617904 7833720888 11750581332 15667441776 23501162664 47002325328