Search a number
-
+
67985926000047 = 33112371913842223
BaseRepresentation
bin11110111010101001101001…
…11110000000110110101111
322220201101120002001122102000
433131110310332000312233
532402340134024000142
6400332145255503343
720214551424063066
oct1735246476006657
9286641502048360
1067985926000047
111a73173a923920
127760165087b53
132bc2078724413
1412b0771b591dd
157cd70b16914c
hex3dd534f80daf

67985926000047 has 64 divisors (see below), whose sum is σ = 114812942745600. Its totient is φ = 39357312968160.

The previous prime is 67985926000037. The next prime is 67985926000079. The reversal of 67985926000047 is 74000062958976.

It is not a de Polignac number, because 67985926000047 - 28 = 67985925999791 is a prime.

It is a super-2 number, since 2×679859260000472 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67985926000037) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2009623 + ... + 11832600.

It is an arithmetic number, because the mean of its divisors is an integer number (1793952230400).

Almost surely, 267985926000047 is an apocalyptic number.

67985926000047 is a deficient number, since it is larger than the sum of its proper divisors (46827016745553).

67985926000047 is a wasteful number, since it uses less digits than its factorization.

67985926000047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13842985 (or 13842979 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 67985926000047 in words is "sixty-seven trillion, nine hundred eighty-five billion, nine hundred twenty-six million, forty-seven", and thus it is an aban number.

Divisors: 1 3 9 11 23 27 33 69 99 207 253 297 621 719 759 2157 2277 6471 6831 7909 16537 19413 23727 49611 71181 148833 181907 213543 446499 545721 1637163 4911489 13842223 41526669 124580007 152264453 318371129 373740021 456793359 955113387 1370380077 2865340161 3502082419 4111140231 8596020483 9952558337 10506247257 29857675011 31518741771 89573025033 94556225313 109478141707 228908841751 268719075099 328434425121 686726525253 985303275363 2060179575759 2517997259261 2955909826089 6180538727277 7553991777783 22661975333349 67985926000047