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122976065856 = 2637233978263
BaseRepresentation
bin111001010000111110…
…0011101100101000000
3102202102102011102100210
41302201330131211000
54003323333101411
6132254443514120
711612314212150
oct1624174354500
9382372142323
10122976065856
1148176868486
121ba00528940
13b79a93b897
145d486bc760
1532eb3bcca6
hex1ca1f1d940

122976065856 has 112 divisors (see below), whose sum is σ = 388023957504. Its totient is φ = 33608357376.

The previous prime is 122976065759. The next prime is 122976065857. The reversal of 122976065856 is 658560679221.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-4 number, since 4×1229760658564 (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 122976065796 and 122976065805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122976065857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1958220 + ... + 2020043.

Almost surely, 2122976065856 is an apocalyptic number.

122976065856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

122976065856 is an abundant number, since it is smaller than the sum of its proper divisors (265047891648).

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

122976065856 is a wasteful number, since it uses less digits than its factorization.

122976065856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3978308 (or 3978298 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 57.

The spelling of 122976065856 in words is "one hundred twenty-two billion, nine hundred seventy-six million, sixty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 138 161 168 184 192 224 276 322 336 368 448 483 552 644 672 736 966 1104 1288 1344 1472 1932 2208 2576 3864 4416 5152 7728 10304 15456 30912 3978263 7956526 11934789 15913052 23869578 27847841 31826104 47739156 55695682 63652208 83543523 91500049 95478312 111391364 127304416 167087046 183000098 190956624 222782728 254608832 274500147 334174092 366000196 381913248 445565456 549000294 640500343 668348184 732000392 763826496 891130912 1098000588 1281000686 1336696368 1464000784 1782261824 1921501029 2196001176 2562001372 2673392736 2928001568 3843002058 4392002352 5124002744 5346785472 5856003136 7686004116 8784004704 10248005488 15372008232 17568009408 20496010976 30744016464 40992021952 61488032928 122976065856