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1226168028384 = 253132342717671
BaseRepresentation
bin10001110101111101010…
…011110100110011100000
311100012221202110200111220
4101311331103310303200
5130042143003402014
62335143244135040
7154405405162665
oct21657523646340
94305852420456
101226168028384
11433018982132
12179781237480
138b81cb00180
14434bda7ba6c
1521d671d06a9
hex11d7d4f4ce0

1226168028384 has 96 divisors (see below), whose sum is σ = 3616990723584. Its totient is φ = 360878876160.

The previous prime is 1226168028331. The next prime is 1226168028413. The reversal of 1226168028384 is 4838208616221.

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

It is a super-2 number, since 2×12261680283842 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 21330132 + ... + 21387539.

It is an arithmetic number, because the mean of its divisors is an integer number (37676986704).

Almost surely, 21226168028384 is an apocalyptic number.

It is an amenable number.

1226168028384 is an abundant number, since it is smaller than the sum of its proper divisors (2390822695200).

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

1226168028384 is a wasteful number, since it uses less digits than its factorization.

1226168028384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42717720 (or 42717712 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 51.

The spelling of 1226168028384 in words is "one trillion, two hundred twenty-six billion, one hundred sixty-eight million, twenty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 32 39 46 48 52 69 78 92 96 104 138 156 184 208 276 299 312 368 416 552 598 624 736 897 1104 1196 1248 1794 2208 2392 3588 4784 7176 9568 14352 28704 42717671 85435342 128153013 170870684 256306026 341741368 512612052 555329723 683482736 982506433 1025224104 1110659446 1366965472 1665989169 1965012866 2050448208 2221318892 2947519299 3331978338 3930025732 4100896416 4442637784 5895038598 6663956676 7860051464 8885275568 11790077196 12772583629 13327913352 15720102928 17770551136 23580154392 25545167258 26655826704 31440205856 38317750887 47160308784 51090334516 53311653408 76635501774 94320617568 102180669032 153271003548 204361338064 306542007096 408722676128 613084014192 1226168028384