Search a number
-
+
10662474136880 = 2451635091606433
BaseRepresentation
bin1001101100101000110011…
…1110111011110100110000
31101202022201011012021211002
42123022030332323310300
52344143221334340010
634402134544541132
72150224022530136
oct233121476736460
941668634167732
1010662474136880
113440a257532a5
1212425610217a8
135c460bcb8317
1428c0d06a3756
1513754e8311a5
hex9b28cfbbd30

10662474136880 has 80 divisors (see below), whose sum is σ = 24991357995360. Its totient is φ = 4230493691904.

The previous prime is 10662474136861. The next prime is 10662474136883. The reversal of 10662474136880 is 8863147426601.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×106624741368802 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10662474136883) 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, 5834144 + ... + 7440576.

It is an arithmetic number, because the mean of its divisors is an integer number (312391974942).

Almost surely, 210662474136880 is an apocalyptic number.

10662474136880 is a gapful number since it is divisible by the number (10) 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 10662474136880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12495678997680).

10662474136880 is an abundant number, since it is smaller than the sum of its proper divisors (14328883858480).

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

10662474136880 is a wasteful number, since it uses less digits than its factorization.

10662474136880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607118 (or 1607112 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 56.

The spelling of 10662474136880 in words is "ten trillion, six hundred sixty-two billion, four hundred seventy-four million, one hundred thirty-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 163 326 509 652 815 1018 1304 1630 2036 2545 2608 3260 4072 5090 6520 8144 10180 13040 20360 40720 82967 165934 331868 414835 663736 829670 1327472 1606433 1659340 3212866 3318680 6425732 6637360 8032165 12851464 16064330 25702928 32128660 64257320 128514640 261848579 523697158 817674397 1047394316 1309242895 1635348794 2094788632 2618485790 3270697588 4088371985 4189577264 5236971580 6541395176 8176743970 10473943160 13082790352 16353487940 20947886320 32706975880 65413951760 133280926711 266561853422 533123706844 666404633555 1066247413688 1332809267110 2132494827376 2665618534220 5331237068440 10662474136880