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2606822120672 = 257117314492651
BaseRepresentation
bin100101111011110010101…
…101001101110011100000
3100020012122220201112200022
4211323302231031303200
5320202232430330142
65313320233013012
7356223324265520
oct45736255156340
910205586645608
102606822120672
11915602144640
12361277554168
1315ba8c6b6c73
1490256bc9680
1547c21c296d2
hex25ef2b4dce0

2606822120672 has 96 divisors (see below), whose sum is σ = 6486215387904. Its totient is φ = 1001731968000.

The previous prime is 2606822120641. The next prime is 2606822120689. The reversal of 2606822120672 is 2760212286062.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7066454 + ... + 7426197.

It is an arithmetic number, because the mean of its divisors is an integer number (67564743624).

Almost surely, 22606822120672 is an apocalyptic number.

2606822120672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2606822120672 is an abundant number, since it is smaller than the sum of its proper divisors (3879393267232).

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

2606822120672 is a wasteful number, since it uses less digits than its factorization.

2606822120672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14492752 (or 14492744 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 44.

The spelling of 2606822120672 in words is "two trillion, six hundred six billion, eight hundred twenty-two million, one hundred twenty thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 73 77 88 112 146 154 176 224 292 308 352 511 584 616 803 1022 1168 1232 1606 2044 2336 2464 3212 4088 5621 6424 8176 11242 12848 16352 22484 25696 44968 89936 179872 14492651 28985302 57970604 101448557 115941208 159419161 202897114 231882416 318838322 405794228 463764832 637676644 811588456 1057963523 1115934127 1275353288 1623176912 2115927046 2231868254 2550706576 3246353824 4231854092 4463736508 5101413152 7405744661 8463708184 8927473016 11637598753 14811489322 16927416368 17854946032 23275197506 29622978644 33854832736 35709892064 46550395012 59245957288 81463191271 93100790024 118491914576 162926382542 186201580048 236983829152 325852765084 372403160096 651705530168 1303411060336 2606822120672