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67920306465 = 35111759974231
BaseRepresentation
bin111111010000010111…
…011010000100100001
320111022111001001200010
4333100113122010201
52103100044301330
651111355515133
74623062036124
oct772027320441
9214274031603
1067920306465
1126894273590
12111b6458aa9
13653561956b
1434047343bb
151b77c5a3b0
hexfd05da121

67920306465 has 128 divisors (see below), whose sum is σ = 128999485440. Its totient is φ = 30147379200.

The previous prime is 67920306451. The next prime is 67920306491. The reversal of 67920306465 is 56460302976.

It is not a de Polignac number, because 67920306465 - 26 = 67920306401 is a prime.

It is a super-2 number, since 2×679203064652 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 16050900 + ... + 16055130.

It is an arithmetic number, because the mean of its divisors is an integer number (1007808480).

Almost surely, 267920306465 is an apocalyptic number.

It is an amenable number.

67920306465 is a deficient number, since it is larger than the sum of its proper divisors (61079178975).

67920306465 is a wasteful number, since it uses less digits than its factorization.

67920306465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4423.

The product of its (nonzero) digits is 1632960, while the sum is 48.

The spelling of 67920306465 in words is "sixty-seven billion, nine hundred twenty million, three hundred six thousand, four hundred sixty-five".

Divisors: 1 3 5 11 15 17 33 51 55 59 85 97 165 177 187 255 291 295 485 561 649 885 935 1003 1067 1455 1649 1947 2805 3009 3201 3245 4231 4947 5015 5335 5723 8245 9735 11033 12693 15045 16005 17169 18139 21155 24735 28615 33099 46541 54417 55165 62953 63465 71927 85845 90695 97291 139623 165495 188859 215781 232705 249629 272085 291873 314765 359635 410407 486455 698115 748887 791197 944295 1070201 1078905 1231221 1248145 1459365 2052035 2373591 2745919 3210603 3744435 3955985 4243693 4514477 5351005 6156105 6976919 8237757 11867955 12731079 13543431 13729595 16053015 20930757 21218465 22572385 24214013 34884595 41188785 46680623 63655395 67717155 72642039 76746109 104653785 121070065 140041869 230238327 233403115 266354143 363210195 383730545 411638221 700209345 799062429 1151191635 1234914663 1331770715 2058191105 3995312145 4528020431 6174573315 13584061293 22640102155 67920306465