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21367272717 = 3374353113439
BaseRepresentation
bin10011111001100101…
…101011010100001101
32001011010021220211000
4103321211223110031
5322230010211332
613452130450513
71354333551510
oct237145532415
961133256730
1021367272717
1190752a527a
124183a33a39
132026a37c4b
141069b18d77
15850ce8b7c
hex4f996b50d

21367272717 has 128 divisors (see below), whose sum is σ = 38137651200. Its totient is φ = 11570936832.

The previous prime is 21367272653. The next prime is 21367272733. The reversal of 21367272717 is 71727276312.

21367272717 is a `hidden beast` number, since 2 + 1 + 367 + 272 + 7 + 17 = 666.

It is not a de Polignac number, because 21367272717 - 26 = 21367272653 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21367272737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48672384 + ... + 48672822.

It is an arithmetic number, because the mean of its divisors is an integer number (297950400).

Almost surely, 221367272717 is an apocalyptic number.

21367272717 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

21367272717 is a deficient number, since it is larger than the sum of its proper divisors (16770378483).

21367272717 is a wasteful number, since it uses less digits than its factorization.

21367272717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 658 counting only the distinct ones).

The product of its digits is 345744, while the sum is 45.

The spelling of 21367272717 in words is "twenty-one billion, three hundred sixty-seven million, two hundred seventy-two thousand, seven hundred seventeen".

Divisors: 1 3 7 9 21 27 43 53 63 113 129 159 189 301 339 371 387 439 477 791 903 1017 1113 1161 1317 1431 2279 2373 2709 3051 3073 3339 3951 4859 5989 6837 7119 8127 9219 10017 11853 14577 15953 17967 18877 20511 21357 23267 27657 34013 41923 43731 47859 49607 53901 56631 61533 69801 82971 102039 125769 131193 132139 143577 148821 161703 162869 169893 209403 257527 306117 347249 377307 396417 430731 446463 488607 509679 628209 772581 918351 1000481 1041747 1131921 1189251 1339389 1465821 1802689 2133101 2317743 2629171 3001443 3125241 3567753 4397463 5408067 6399303 6953229 7003367 7887513 9004329 9375723 14931707 16224201 18404197 19197909 21010101 23662539 27012987 44795121 48672603 55212591 57593727 63030303 70987617 113054353 134385363 165637773 189090909 339163059 403156089 496913319 791380471 1017489177 2374141413 3052467531 7122424239 21367272717