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2404531552416 = 253715123696503
BaseRepresentation
bin100010111111011001001…
…111111100000010100000
322111212111221022221020120
4202333121033330002200
5303343440034134131
65040343200040240
7335502350652120
oct42773117740240
98455457287216
102404531552416
11847835414624
1232a020903080
13145991975976
1484546812c80
1542832648496
hex22fd93fc0a0

2404531552416 has 96 divisors (see below), whose sum is σ = 7261367113728. Its totient is φ = 682459257600.

The previous prime is 2404531552387. The next prime is 2404531552439. The reversal of 2404531552416 is 6142551354042.

2404531552416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 11746780 + ... + 11949723.

It is an arithmetic number, because the mean of its divisors is an integer number (75639240768).

Almost surely, 22404531552416 is an apocalyptic number.

It is an amenable number.

2404531552416 is an abundant number, since it is smaller than the sum of its proper divisors (4856835561312).

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

2404531552416 is a wasteful number, since it uses less digits than its factorization.

2404531552416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23696674 (or 23696666 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 42.

The spelling of 2404531552416 in words is "two trillion, four hundred four billion, five hundred thirty-one million, five hundred fifty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 151 168 224 302 336 453 604 672 906 1057 1208 1812 2114 2416 3171 3624 4228 4832 6342 7248 8456 12684 14496 16912 25368 33824 50736 101472 23696503 47393006 71089509 94786012 142179018 165875521 189572024 284358036 331751042 379144048 497626563 568716072 663502084 758288096 995253126 1137432144 1327004168 1990506252 2274864288 2654008336 3578171953 3981012504 5308016672 7156343906 7962025008 10734515859 14312687812 15924050016 21469031718 25047203671 28625375624 42938063436 50094407342 57250751248 75141611013 85876126872 100188814684 114501502496 150283222026 171752253744 200377629368 300566444052 343504507488 400755258736 601132888104 801510517472 1202265776208 2404531552416