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115035162432 = 26310716673359
BaseRepresentation
bin110101100100010100…
…0010100011101000000
3101222220222221201201120
41223020220110131000
53341043000144212
6124502454432240
711211451514211
oct1531050243500
9358828851646
10115035162432
1144871394183
121a365062680
13ab0371a468
1457d3bd9408
152ed419788c
hex1ac8a14740

115035162432 has 112 divisors (see below), whose sum is σ = 307484190720. Its totient is φ = 37952599552.

The previous prime is 115035162383. The next prime is 115035162461. The reversal of 115035162432 is 234261530511.

It is a junction number, because it is equal to n+sod(n) for n = 115035162393 and 115035162402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34245169 + ... + 34248527.

It is an arithmetic number, because the mean of its divisors is an integer number (2745394560).

Almost surely, 2115035162432 is an apocalyptic number.

115035162432 is a gapful number since it is divisible by the number (12) 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 115035162432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153742095360).

115035162432 is an abundant number, since it is smaller than the sum of its proper divisors (192449028288).

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

115035162432 is a wasteful number, since it uses less digits than its factorization.

115035162432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5148 (or 5138 counting only the distinct ones).

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

Adding to 115035162432 its reverse (234261530511), we get a palindrome (349296692943).

The spelling of 115035162432 in words is "one hundred fifteen billion, thirty-five million, one hundred sixty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 192 214 321 428 642 856 1284 1667 1712 2568 3334 3359 3424 5001 5136 6668 6718 6848 10002 10077 10272 13336 13436 20004 20154 20544 26672 26872 40008 40308 53344 53744 80016 80616 106688 107488 160032 161232 178369 214976 320064 322464 356738 359413 535107 644928 713476 718826 1070214 1078239 1426952 1437652 2140428 2156478 2853904 2875304 4280856 4312956 5599453 5707808 5750608 8561712 8625912 11198906 11415616 11501216 16798359 17123424 17251824 22397812 23002432 33596718 34246848 34503648 44795624 67193436 69007296 89591248 134386872 179182496 268773744 358364992 537547488 599141471 1075094976 1198282942 1797424413 2396565884 3594848826 4793131768 7189697652 9586263536 14379395304 19172527072 28758790608 38345054144 57517581216 115035162432