Search a number
-
+
11020506672 = 2437239911439
BaseRepresentation
bin10100100001101111…
…11001011000110000
31001110001000202002210
422100313321120300
5140032222203142
65021315412120
7540045522030
oct122067713060
931401022083
1011020506672
11474587485a
1221768b4040
131068257586
147678cb8c0
1544779049c
hex290df9630

11020506672 has 160 divisors (see below), whose sum is σ = 34009251840. Its totient is φ = 3006685440.

The previous prime is 11020506671. The next prime is 11020506709. The reversal of 11020506672 is 27660502011.

It is not an unprimeable number, because it can be changed into a prime (11020506671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7657729 + ... + 7659167.

It is an arithmetic number, because the mean of its divisors is an integer number (212557824).

Almost surely, 211020506672 is an apocalyptic number.

11020506672 is a gapful number since it is divisible by the number (12) 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 11020506672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17004625920).

11020506672 is an abundant number, since it is smaller than the sum of its proper divisors (22988745168).

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

11020506672 is a wasteful number, since it uses less digits than its factorization.

11020506672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2471 (or 2465 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The spelling of 11020506672 in words is "eleven billion, twenty million, five hundred six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 184 276 322 336 368 483 552 644 966 991 1104 1288 1439 1932 1982 2576 2878 2973 3864 3964 4317 5756 5946 6937 7728 7928 8634 10073 11512 11892 13874 15856 17268 20146 20811 22793 23024 23784 27748 30219 33097 34536 40292 41622 45586 47568 55496 60438 66194 68379 69072 80584 83244 91172 99291 110992 120876 132388 136758 159551 161168 166488 182344 198582 231679 241752 264776 273516 319102 332976 364688 397164 463358 478653 483504 529552 547032 638204 695037 794328 926716 957306 1094064 1276408 1390074 1426049 1588656 1853432 1914612 2552816 2780148 2852098 3706864 3829224 4278147 5560296 5704196 7658448 8556294 9982343 11120592 11408392 17112588 19964686 22816784 29947029 32799127 34225176 39929372 59894058 65598254 68450352 79858744 98397381 119788116 131196508 159717488 196794762 229593889 239576232 262393016 393589524 459187778 479152464 524786032 688781667 787179048 918375556 1377563334 1574358096 1836751112 2755126668 3673502224 5510253336 11020506672