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11692977921016 = 23717231253942589
BaseRepresentation
bin1010101000100111101111…
…0010111001101111111000
31112101211121201212111120221
42222021323302321233320
53013034204321433031
640511402505225424
72314534615262350
oct252117362715770
945354551774527
1011692977921016
1137a8a67223747
12138a216792274
1366a848b27572
142c5d2c013b60
15154264035a11
hexaa27bcb9bf8

11692977921016 has 128 divisors (see below), whose sum is σ = 27686634624000. Its totient is φ = 4510964570112.

The previous prime is 11692977920893. The next prime is 11692977921017. The reversal of 11692977921016 is 61012977929611.

It is a super-2 number, since 2×116929779210162 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11692977921017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 274532650 + ... + 274575238.

It is an arithmetic number, because the mean of its divisors is an integer number (216301833000).

Almost surely, 211692977921016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11692977921016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13843317312000).

11692977921016 is an abundant number, since it is smaller than the sum of its proper divisors (15993656702984).

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

11692977921016 is a wasteful number, since it uses less digits than its factorization.

11692977921016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55181 (or 55177 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 61.

The spelling of 11692977921016 in words is "eleven trillion, six hundred ninety-two billion, nine hundred seventy-seven million, nine hundred twenty-one thousand, sixteen".

Divisors: 1 2 4 7 8 14 17 23 28 34 46 56 68 92 119 136 161 184 238 322 391 476 644 782 952 1288 1564 2737 3128 5474 10948 12539 21896 25078 42589 50156 85178 87773 100312 170356 175546 213163 288397 298123 340712 351092 426326 576794 596246 702184 724013 852652 979547 1153588 1192492 1448026 1492141 1705304 1959094 2018779 2307176 2384984 2896052 2984282 3918188 4037558 4902749 5068091 5792104 5968564 6856829 7836376 8075116 9805498 10136182 11937128 13713658 16150232 16652299 19610996 20272364 27427316 33304598 34319243 39221992 40544728 54854632 66609196 68638486 116566093 133218392 137276972 233132186 274553944 466264372 534023471 932528744 1068046942 2136093884 3738164297 4272187768 7476328594 9078399007 12282539833 14952657188 18156798014 24565079666 29905314376 36313596028 49130159332 63548793049 72627192056 85977778831 98260318664 127097586098 171955557662 208803177161 254195172196 343911115324 417606354322 508390344392 687822230648 835212708644 1461622240127 1670425417288 2923244480254 5846488960508 11692977921016