Search a number
-
+
9936206070 = 2357173775223
BaseRepresentation
bin10010100000011111…
…00111100011110110
3221122110201120022020
421100033213203312
5130322132043240
64321543214010
7501141233550
oct112017474366
927573646266
109936206070
11423980275a
121b13747306
13c2471269b
146a38b84d0
153d24ab0d0
hex2503e78f6

9936206070 has 128 divisors (see below), whose sum is σ = 29637052416. Its totient is φ = 2079737856.

The previous prime is 9936206023. The next prime is 9936206089. The reversal of 9936206070 is 706026399.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94479 + ... + 169701.

It is an arithmetic number, because the mean of its divisors is an integer number (231539472).

Almost surely, 29936206070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9936206070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14818526208).

9936206070 is an abundant number, since it is smaller than the sum of its proper divisors (19700846346).

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

9936206070 is a wasteful number, since it uses less digits than its factorization.

9936206070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75294.

The product of its (nonzero) digits is 122472, while the sum is 42.

The square root of 9936206070 is about 99680.5200126885. The cubic root of 9936206070 is about 2149.8435847990.

The spelling of 9936206070 in words is "nine billion, nine hundred thirty-six million, two hundred six thousand, seventy".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 37 42 51 70 74 85 102 105 111 119 170 185 210 222 238 255 259 357 370 510 518 555 595 629 714 777 1110 1190 1258 1295 1554 1785 1887 2590 3145 3570 3774 3885 4403 6290 7770 8806 9435 13209 18870 22015 26418 44030 66045 75223 132090 150446 225669 376115 451338 526561 752230 1053122 1128345 1278791 1579683 2256690 2557582 2632805 2783251 3159366 3836373 5265610 5566502 6393955 7672746 7898415 8349753 8951537 12787910 13916255 15796830 16699506 17903074 19181865 19482757 26854611 27832510 38363730 38965514 41748765 44757685 47315267 53709222 58448271 83497530 89515370 94630534 97413785 116896542 134273055 141945801 194827570 236576335 268546110 283891602 292241355 331206869 473152670 584482710 662413738 709729005 993620607 1419458010 1656034345 1987241214 3312068690 4968103035 9936206070