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115670204416 = 214131393907
BaseRepresentation
bin110101110111001111…
…0110100000000000000
3102001120020220012120001
41223232132310000000
53343343033020131
6125045501525344
711233262341444
oct1535636640000
9361506805501
10115670204416
11450678a6668
121a501873854
13aba5164c50
1458542a4824
15301ecd8261
hex1aee7b4000

115670204416 has 120 divisors (see below), whose sum is σ = 250984734560. Its totient is φ = 52988608512.

The previous prime is 115670204359. The next prime is 115670204467. The reversal of 115670204416 is 614402076511.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29603935 + ... + 29607841.

Almost surely, 2115670204416 is an apocalyptic number.

115670204416 is a gapful number since it is divisible by the number (16) 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 115670204416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125492367280).

115670204416 is an abundant number, since it is smaller than the sum of its proper divisors (135314530144).

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

115670204416 is an equidigital number, since it uses as much as digits as its factorization.

115670204416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4087 (or 4061 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The spelling of 115670204416 in words is "one hundred fifteen billion, six hundred seventy million, two hundred four thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 139 208 256 278 416 512 556 832 1024 1112 1664 1807 2048 2224 3328 3614 3907 4096 4448 6656 7228 7814 8192 8896 13312 14456 15628 16384 17792 26624 28912 31256 35584 50791 53248 57824 62512 71168 101582 106496 115648 125024 142336 203164 212992 231296 250048 284672 406328 462592 500096 543073 569344 812656 925184 1000192 1086146 1138688 1625312 1850368 2000384 2172292 2277376 3250624 3700736 4000768 4344584 6501248 7059949 7401472 8001536 8689168 13002496 14119898 14802944 16003072 17378336 26004992 28239796 29605888 32006144 34756672 52009984 56479592 64012288 69513344 104019968 112959184 139026688 208039936 225918368 278053376 416079872 451836736 556106752 832159744 903673472 1112213504 1807346944 2224427008 3614693888 4448854016 7229387776 8897708032 14458775552 28917551104 57835102208 115670204416