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1157122211049 = 337423937459
BaseRepresentation
bin10000110101101001110…
…110111011110011101001
311002121201211120202012000
4100311221312323303221
5122424241241223144
62243324040441213
7146412365340000
oct20655166736351
94077654522160
101157122211049
1140680735a682
12168311a79209
138516827035c
144000da87c37
1520175750769
hex10d69dbbce9

1157122211049 has 80 divisors (see below), whose sum is σ = 2000949249600. Its totient is φ = 660847771584.

The previous prime is 1157122211033. The next prime is 1157122211053. The reversal of 1157122211049 is 9401122217511.

It is a happy number.

1157122211049 is a `hidden beast` number, since 1 + 1 + 571 + 22 + 21 + 1 + 0 + 49 = 666.

It is not a de Polignac number, because 1157122211049 - 24 = 1157122211033 is a prime.

It is a super-2 number, since 2×11571222110492 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1157122211059) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 155127282 + ... + 155134740.

It is an arithmetic number, because the mean of its divisors is an integer number (25011865620).

Almost surely, 21157122211049 is an apocalyptic number.

It is an amenable number.

1157122211049 is a deficient number, since it is larger than the sum of its proper divisors (843827038551).

1157122211049 is an frugal number, since it uses more digits than its factorization.

1157122211049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9889 (or 9862 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The spelling of 1157122211049 in words is "one trillion, one hundred fifty-seven billion, one hundred twenty-two million, two hundred eleven thousand, forty-nine".

Divisors: 1 3 7 9 21 27 49 63 147 189 343 441 1029 1323 2393 2401 3087 7179 7203 7459 9261 16751 21537 21609 22377 50253 52213 64611 64827 67131 117257 150759 156639 201393 351771 365491 452277 469917 820799 1055313 1096473 1409751 2462397 2558437 3165939 3289419 5745593 7387191 7675311 9868257 17236779 17849387 17909059 22161573 23025933 51710337 53548161 53727177 69077799 124945709 155131011 160644483 161181531 374837127 481933449 483544593 874619963 1124511381 2623859889 3373534143 6122339741 7871579667 18367019223 23614739001 42856378187 55101057669 128569134561 165303173007 385707403683 1157122211049