Search a number
-
+
10750620035620 = 22517372549335261
BaseRepresentation
bin1001110001110001001011…
…1000110110101000100100
31102001202020012020220011101
42130130102320312220210
52402114232212114440
634510433333245444
72156464246360513
oct234342270665044
942052205226141
1010750620035620
1134753488186a3
121257660a93884
135cca1895745a
1429249324467a
151399ad01969a
hex9c712e36a24

10750620035620 has 96 divisors (see below), whose sum is σ = 24560087176800. Its totient is φ = 3936349347840.

The previous prime is 10750620035609. The next prime is 10750620035627. The reversal of 10750620035620 is 2653002605701.

It can be written as a sum of positive squares in 16 ways, for example, as 607426949376 + 10143193086244 = 779376^2 + 3184838^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 10750620035620.

It is not an unprimeable number, because it can be changed into a prime (10750620035627) 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, 31898790 + ... + 32234050.

It is an arithmetic number, because the mean of its divisors is an integer number (255834241425).

Almost surely, 210750620035620 is an apocalyptic number.

10750620035620 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 10750620035620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12280043588400).

10750620035620 is an abundant number, since it is smaller than the sum of its proper divisors (13809467141180).

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

10750620035620 is a wasteful number, since it uses less digits than its factorization.

10750620035620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337873 (or 337871 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 37.

The spelling of 10750620035620 in words is "ten trillion, seven hundred fifty billion, six hundred twenty million, thirty-five thousand, six hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 37 68 74 85 148 170 185 340 370 629 740 1258 2516 2549 3145 5098 6290 10196 12580 12745 25490 43333 50980 86666 94313 173332 188626 216665 335261 377252 433330 471565 670522 866660 943130 1341044 1603321 1676305 1886260 3206642 3352610 5699437 6413284 6705220 8016605 11398874 12404657 16033210 22797748 24809314 28497185 32066420 49618628 56994370 62023285 113988740 124046570 210879169 248093140 421758338 843516676 854580289 1054395845 1709160578 2108791690 3418321156 4217583380 4272901445 8545802890 14527864913 17091605780 29055729826 31619470693 58111459652 63238941386 72639324565 126477882772 145278649130 158097353465 290557298260 316194706930 537531001781 632389413860 1075062003562 2150124007124 2687655008905 5375310017810 10750620035620