Search a number
-
+
61101055626 = 231343731631531
BaseRepresentation
bin111000111001111010…
…000001111010001010
312211201020102020010020
4320321322001322022
52000113332240001
644022555401310
74262066255262
oct707172017212
9184636366106
1061101055626
1123a04a53496
12ba12753236
1359b98ba4b0
142d58bc87a2
1518c9246736
hexe39e81e8a

61101055626 has 128 divisors (see below), whose sum is σ = 137434665984. Its totient is φ = 17988687360.

The previous prime is 61101055607. The next prime is 61101055643. The reversal of 61101055626 is 62655010116.

61101055626 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×611010556262 (a number of 22 digits) contains 22 as substring.

It is a Curzon 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, 39908481 + ... + 39910011.

It is an arithmetic number, because the mean of its divisors is an integer number (1073708328).

Almost surely, 261101055626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61101055626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68717332992).

61101055626 is an abundant number, since it is smaller than the sum of its proper divisors (76333610358).

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

61101055626 is a wasteful number, since it uses less digits than its factorization.

61101055626 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1828.

The product of its (nonzero) digits is 10800, while the sum is 33.

The spelling of 61101055626 in words is "sixty-one billion, one hundred one million, fifty-five thousand, six hundred twenty-six".

Divisors: 1 2 3 6 13 26 39 43 73 78 86 129 146 163 219 258 326 438 489 559 949 978 1118 1531 1677 1898 2119 2847 3062 3139 3354 4238 4593 5694 6278 6357 7009 9186 9417 11899 12714 14018 18834 19903 21027 23798 35697 39806 40807 42054 59709 65833 71394 81614 91117 111763 119418 122421 131666 154687 182234 197499 223526 244842 249553 273351 309374 335289 394998 464061 499106 511657 546702 670578 748659 855829 928122 1023314 1452919 1497318 1534971 1711658 2567487 2905838 3069942 3244189 4358757 4805809 5134974 6488378 6651541 8717514 9611618 9732567 10730779 13303082 14417427 18217369 19465134 19954623 21461558 28834854 32192337 36434738 39909246 54652107 62475517 64384674 109304214 124951034 139500127 187426551 236825797 279000254 374853102 418500381 473651594 710477391 783346867 837000762 1420954782 1566693734 2350040601 4700081202 10183509271 20367018542 30550527813 61101055626