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10907497022500 = 225413250812
BaseRepresentation
bin1001111010111001100101…
…1111000100010000100100
31102121202011012222112112201
42132232121133010100210
52412202023214210000
635110500203424244
72204016641640301
oct236563137042044
942552135875481
1010907497022500
113525930790881
121281b42825084
13611759b9c300
14299cd60900a8
1513dae071496a
hex9eb997c4424

10907497022500 has 135 divisors (see below), whose sum is σ = 25833546777423. Its totient is φ = 4026590880000.

The previous prime is 10907497022441. The next prime is 10907497022531. The reversal of 10907497022500 is 522079470901.

It is a happy number.

The square root of 10907497022500 is 3302650.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 2417919261156 + 8489577761344 = 1554966^2 + 2913688^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2146719960 + ... + 2146725040.

Almost surely, 210907497022500 is an apocalyptic number.

10907497022500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10907497022500 is the 3302650-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10907497022500

10907497022500 is an abundant number, since it is smaller than the sum of its proper divisors (14926049754923).

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

10907497022500 is an frugal number, since it uses more digits than its factorization.

10907497022500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10212 (or 5101 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 46.

The spelling of 10907497022500 in words is "ten trillion, nine hundred seven billion, four hundred ninety-seven million, twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 169 250 260 325 338 500 625 650 676 845 1250 1300 1625 1690 2500 3250 3380 4225 5081 6500 8125 8450 10162 16250 16900 20324 21125 25405 32500 42250 50810 66053 84500 101620 105625 127025 132106 211250 254050 264212 330265 422500 508100 635125 660530 858689 1270250 1321060 1651325 1717378 2540500 3175625 3302650 3434756 4293445 6351250 6605300 8256625 8586890 12702500 16513250 17173780 21467225 25816561 33026500 41283125 42934450 51633122 82566250 85868900 103266244 107336125 129082805 165132500 214672250 258165610 335615293 429344500 516331220 536680625 645414025 671230586 1073361250 1290828050 1342461172 1678076465 2146722500 2581656100 3227070125 3356152930 4362998809 6454140250 6712305860 8390382325 8725997618 12908280500 16135350625 16780764650 17451995236 21814994045 32270701250 33561529300 41951911625 43629988090 64541402500 83903823250 87259976180 109074970225 167807646500 209759558125 218149940450 419519116250 436299880900 545374851125 839038232500 1090749702250 2181499404500 2726874255625 5453748511250 10907497022500