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104623162016 = 25172833891747
BaseRepresentation
bin110000101110000000…
…1101100001010100000
3101000001100221022021112
41201130001230022200
53203232012141031
6120021353242452
710362442126652
oct1413401541240
9330040838245
10104623162016
114040905815a
121833a103428
139b34579479
1450c706a6d2
152ac505562b
hex185c06c2a0

104623162016 has 96 divisors (see below), whose sum is σ = 219552016320. Its totient is φ = 48906326016.

The previous prime is 104623162001. The next prime is 104623162043. The reversal of 104623162016 is 610261326401.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59886455 + ... + 59888201.

It is an arithmetic number, because the mean of its divisors is an integer number (2287000170).

Almost surely, 2104623162016 is an apocalyptic number.

104623162016 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 104623162016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109776008160).

104623162016 is an abundant number, since it is smaller than the sum of its proper divisors (114928854304).

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

104623162016 is a wasteful number, since it uses less digits than its factorization.

104623162016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2446 (or 2438 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

Adding to 104623162016 its reverse (610261326401), we get a palindrome (714884488417).

The spelling of 104623162016 in words is "one hundred four billion, six hundred twenty-three million, one hundred sixty-two thousand, sixteen".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 283 389 544 566 778 1132 1556 1747 2264 3112 3494 4528 4811 6224 6613 6988 9056 9622 12448 13226 13976 19244 26452 27952 29699 38488 52904 55904 59398 76976 105808 110087 118796 153952 211616 220174 237592 440348 475184 494401 679583 880696 950368 988802 1359166 1761392 1871479 1977604 2718332 3522784 3742958 3955208 5436664 7485916 7910416 8404817 10873328 11552911 14971832 15820832 16809634 21746656 23105822 29943664 33619268 46211644 59887328 67238536 92423288 134477072 184846576 192321989 268954144 369693152 384643978 769287956 1538575912 3077151824 3269473813 6154303648 6538947626 13077895252 26155790504 52311581008 104623162016