Search a number
-
+
35452016106 = 231329149293359
BaseRepresentation
bin100001000001000110…
…101101010111101010
310101111201020000110120
4201001012231113222
51040101204003411
624141511424110
72363351110353
oct410106552752
9111451200416
1035452016106
1114042814471
126a54985036
13345ca78230
141a04570d2a
15dc75bb106
hex8411ad5ea

35452016106 has 128 divisors (see below), whose sum is σ = 80015040000. Its totient is φ = 10396732416.

The previous prime is 35452016101. The next prime is 35452016107. The reversal of 35452016106 is 60161025453.

It is not an unprimeable number, because it can be changed into a prime (35452016101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98751955 + ... + 98752313.

It is an arithmetic number, because the mean of its divisors is an integer number (625117500).

Almost surely, 235452016106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35452016106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40007520000).

35452016106 is an abundant number, since it is smaller than the sum of its proper divisors (44563023894).

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

35452016106 is a wasteful number, since it uses less digits than its factorization.

35452016106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848.

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 35452016106 in words is "thirty-five billion, four hundred fifty-two million, sixteen thousand, one hundred six".

Divisors: 1 2 3 6 13 26 29 39 58 78 87 149 174 293 298 359 377 447 586 718 754 879 894 1077 1131 1758 1937 2154 2262 3809 3874 4321 4667 5811 7618 8497 8642 9334 10411 11427 11622 12963 14001 16994 20822 22854 25491 25926 28002 31233 43657 50982 53491 56173 62466 87314 105187 106982 110461 112346 130971 135343 160473 168519 210374 220922 261942 270686 315561 320946 331383 337038 406029 567541 631122 662766 695383 812058 1135082 1266053 1367431 1390766 1551239 1702623 2086149 2532106 2734862 3050423 3102478 3405246 3798159 4102293 4172298 4653717 6100846 7596318 8204586 9151269 9307434 15672863 16458689 18302538 20166107 31345726 32917378 39655499 40332214 47018589 49376067 60498321 79310998 94037178 98752134 118966497 120996642 203747219 237932994 407494438 454513027 611241657 909026054 1222483314 1363539081 2727078162 5908669351 11817338702 17726008053 35452016106