Search a number
-
+
4051656960 = 28351381163
BaseRepresentation
bin1111000101111111…
…0110000100000000
3101110100220111110220
43301133312010000
531244211010320
61510013023040
7202255341651
oct36137660400
911410814426
104051656960
11179a06692a
12950a84a80
134c753a070
142a615d528
1518aa7ae40
hexf17f6100

4051656960 has 144 divisors (see below), whose sum is σ = 13935534144. Its totient is φ = 997318656.

The previous prime is 4051656911. The next prime is 4051656967. The reversal of 4051656960 is 696561504.

It is not an unprimeable number, because it can be changed into a prime (4051656967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9339 + ... + 90501.

Almost surely, 24051656960 is an apocalyptic number.

4051656960 is a gapful number since it is divisible by the number (40) 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 4051656960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6967767072).

4051656960 is an abundant number, since it is smaller than the sum of its proper divisors (9883877184).

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

4051656960 is a wasteful number, since it uses less digits than its factorization.

4051656960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81200 (or 81186 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 4051656960 is about 63652.6272827760. The cubic root of 4051656960 is about 1594.2052047208.

The spelling of 4051656960 in words is "four billion, fifty-one million, six hundred fifty-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 256 260 312 320 384 390 416 480 520 624 640 768 780 832 960 1040 1248 1280 1560 1664 1920 2080 2496 3120 3328 3840 4160 4992 6240 8320 9984 12480 16640 24960 49920 81163 162326 243489 324652 405815 486978 649304 811630 973956 1055119 1217445 1298608 1623260 1947912 2110238 2434890 2597216 3165357 3246520 3895824 4220476 4869780 5194432 5275595 6330714 6493040 7791648 8440952 9739560 10388864 10551190 12661428 12986080 15583296 15826785 16881904 19479120 20777728 21102380 25322856 25972160 31166592 31653570 33763808 38958240 42204760 50645712 51944320 62333184 63307140 67527616 77916480 84409520 101291424 103888640 126614280 135055232 155832960 168819040 202582848 253228560 270110464 311665920 337638080 405165696 506457120 675276160 810331392 1012914240 1350552320 2025828480 4051656960