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634003404212116 = 223773241372431217
BaseRepresentation
bin1001000000100111110110101…
…1101100011100011110010100
310002010211010121022220112020201
42100021331223230130132110
51131100002432434241431
610124225050521510244
7250354143250202251
oct22011755354343624
93063733538815221
10634003404212116
11174016374274604
125b136135342384
132129c3590b36a3
14b27bcddb00428
154d46d3bc3c461
hex2409f6bb1c794

634003404212116 has 48 divisors (see below), whose sum is σ = 1155150423813456. Its totient is φ = 304196235485184.

The previous prime is 634003404212041. The next prime is 634003404212119. The reversal of 634003404212116 is 611212404300436.

634003404212116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 7562775002500 + 626440629209616 = 2750050^2 + 25028796^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (634003404212119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 259560540 + ... + 261991756.

It is an arithmetic number, because the mean of its divisors is an integer number (24065633829447).

Almost surely, 2634003404212116 is an apocalyptic number.

It is an amenable number.

634003404212116 is a deficient number, since it is larger than the sum of its proper divisors (521147019601340).

634003404212116 is a wasteful number, since it uses less digits than its factorization.

634003404212116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2455468 (or 2455466 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

The spelling of 634003404212116 in words is "six hundred thirty-four trillion, three billion, four hundred four million, two hundred twelve thousand, one hundred sixteen".

Divisors: 1 2 4 37 73 74 146 148 292 2701 5402 10804 24137 48274 96548 893069 1762001 1786138 2431217 3524002 3572276 4862434 7048004 9724868 65194037 89955029 130388074 177478841 179910058 260776148 354957682 359820116 709915364 6566717117 13133434234 26266868468 58682284729 117364569458 234729138916 2171244534973 4283806785217 4342489069946 8567613570434 8684978139892 17135227140868 158500851053029 317001702106058 634003404212116