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67989048372 = 22327674319343
BaseRepresentation
bin111111010100011101…
…101000110000110100
320111111021101111211200
4333110131220300310
52103220144021442
651122253132500
74624555242630
oct772435506064
9214437344750
1067989048372
112691a055383
121121548a130
13654693754b
14340d909dc0
151b7dcd834c
hexfd4768c34

67989048372 has 144 divisors (see below), whose sum is σ = 199828242432. Its totient is φ = 19089069120.

The previous prime is 67989048367. The next prime is 67989048383. The reversal of 67989048372 is 27384098976.

67989048372 is a `hidden beast` number, since 6 + 7 + 9 + 89 + 0 + 483 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 7272333 + ... + 7281675.

It is an arithmetic number, because the mean of its divisors is an integer number (1387696128).

Almost surely, 267989048372 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 67989048372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99914121216).

67989048372 is an abundant number, since it is smaller than the sum of its proper divisors (131839194060).

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

67989048372 is a wasteful number, since it uses less digits than its factorization.

67989048372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9858 (or 9853 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 67989048372 in words is "sixty-seven billion, nine hundred eighty-nine million, forty-eight thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 67 84 126 134 201 252 268 402 431 469 603 804 862 938 1206 1293 1407 1724 1876 2412 2586 2814 3017 3879 4221 5172 5628 6034 7758 8442 9051 9343 12068 15516 16884 18102 18686 27153 28029 28877 36204 37372 54306 56058 57754 65401 84087 86631 108612 112116 115508 130802 168174 173262 196203 202139 259893 261604 336348 346524 392406 404278 519786 588609 606417 625981 784812 808556 1039572 1177218 1212834 1251962 1819251 1877943 2354436 2425668 2503924 3638502 3755886 4026833 4381867 5633829 7277004 7511772 8053666 8763734 11267658 12080499 13145601 16107332 17527468 22535316 24160998 26291202 28187831 36241497 39436803 48321996 52582404 56375662 72482994 78873606 84563493 112751324 144965988 157747212 169126986 253690479 269797811 338253972 507380958 539595622 809393433 1014761916 1079191244 1618786866 1888584677 2428180299 3237573732 3777169354 4856360598 5665754031 7554338708 9712721196 11331508062 16997262093 22663016124 33994524186 67989048372