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30525540041634 = 23114324146795569
BaseRepresentation
bin1101111000011010001111…
…11110001000001110100010
311000002012202101000000101120
412330031013332020032202
513000112301222313014
6144531123422113110
76300253224134421
oct674150776101642
9130065671000346
1030525540041634
1197a9899610880
12351007971b796
1314057139580a1
147776305732b8
1537e08cc06ba9
hex1bc347f883a2

30525540041634 has 128 divisors (see below), whose sum is σ = 68580077829120. Its totient is φ = 8978193100800.

The previous prime is 30525540041593. The next prime is 30525540041639. The reversal of 30525540041634 is 43614004552503.

It is not an unprimeable number, because it can be changed into a prime (30525540041639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 319360602 + ... + 319456170.

It is an arithmetic number, because the mean of its divisors is an integer number (535781858040).

Almost surely, 230525540041634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30525540041634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34290038914560).

30525540041634 is an abundant number, since it is smaller than the sum of its proper divisors (38054537787486).

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

30525540041634 is a wasteful number, since it uses less digits than its factorization.

30525540041634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96336.

The product of its (nonzero) digits is 864000, while the sum is 42.

The spelling of 30525540041634 in words is "thirty trillion, five hundred twenty-five billion, five hundred forty million, forty-one thousand, six hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 43 66 86 129 241 258 467 473 482 723 934 946 1401 1419 1446 2651 2802 2838 5137 5302 7953 10274 10363 15411 15906 20081 20726 30822 31089 40162 60243 62178 95569 112547 113993 120486 191138 220891 225094 227986 286707 337641 341979 441782 573414 662673 675282 683958 1051259 1238017 1325346 2102518 2476034 3153777 3714051 4109467 4839521 6307554 7428102 8218934 9679042 12328401 14518563 23032129 24656802 29037126 44630723 45204137 46064258 53234731 69096387 89261446 90408274 106469462 133892169 135612411 138192774 159704193 253353419 267784338 271224822 319408386 490937953 506706838 760060257 981875906 990381547 1472813859 1520120514 1919121089 1980763094 2945627718 2971144641 3838242178 5757363267 5942289282 10756004243 10894197017 11514726534 21110331979 21512008486 21788394034 32268012729 32682591051 42220663958 63330995937 64536025458 65365182102 118316046673 126661991874 236632093346 354948140019 462508182449 709896280038 925016364898 1387524547347 2775049094694 5087590006939 10175180013878 15262770020817 30525540041634