Search a number
-
+
4971466008 = 2332237142283
BaseRepresentation
bin1001010000101001…
…01000110100011000
3110211110200122021200
410220110220310120
540140143403013
62141151434200
7234124522665
oct45024506430
913743618250
104971466008
112121298aa3
12b68b25960
13612c7ac82
14352394a6c
151e16bbe73
hex128528d18

4971466008 has 96 divisors (see below), whose sum is σ = 14248016640. Its totient is φ = 1562742720.

The previous prime is 4971465997. The next prime is 4971466051. The reversal of 4971466008 is 8006641794.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96435 + ... + 138717.

It is an arithmetic number, because the mean of its divisors is an integer number (148416840).

Almost surely, 24971466008 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 4971466008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7124008320).

4971466008 is an abundant number, since it is smaller than the sum of its proper divisors (9276550632).

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

4971466008 is a wasteful number, since it uses less digits than its factorization.

4971466008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42389 (or 42382 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 4971466008 is about 70508.6236427857. The cubic root of 4971466008 is about 1706.7169099046.

The spelling of 4971466008 in words is "four billion, nine hundred seventy-one million, four hundred sixty-six thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 71 72 92 138 142 184 207 213 276 284 414 426 552 568 639 828 852 1278 1633 1656 1704 2556 3266 4899 5112 6532 9798 13064 14697 19596 29394 39192 42283 58788 84566 117576 126849 169132 253698 338264 380547 507396 761094 972509 1014792 1522188 1945018 2917527 3002093 3044376 3890036 5835054 6004186 7780072 8752581 9006279 11670108 12008372 17505162 18012558 23340216 24016744 27018837 35010324 36025116 54037674 69048139 70020648 72050232 108075348 138096278 207144417 216150696 276192556 414288834 552385112 621433251 828577668 1242866502 1657155336 2485733004 4971466008