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67955040672 = 2531937256053
BaseRepresentation
bin111111010010011011…
…111010000110100000
320111101220101202001020
4333102123322012200
52103132442300142
651115040205440
74623663213051
oct772233720640
9214356352036
1067955040672
1126901937942
1211206009880
13653c88b34c
1434091b6728
151b7ad1bcec
hexfd26fa1a0

67955040672 has 48 divisors (see below), whose sum is σ = 187770512160. Its totient is φ = 21459485952.

The previous prime is 67955040631. The next prime is 67955040683. The reversal of 67955040672 is 27604055976.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×679550406723 (a number of 33 digits) contains 333 as substring.

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 7 ways as a sum of consecutive naturals, for example, 18626203 + ... + 18629850.

It is an arithmetic number, because the mean of its divisors is an integer number (3911885670).

Almost surely, 267955040672 is an apocalyptic number.

It is an amenable number.

67955040672 is an abundant number, since it is smaller than the sum of its proper divisors (119815471488).

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

67955040672 is a wasteful number, since it uses less digits than its factorization.

67955040672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37256085 (or 37256077 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 51.

The spelling of 67955040672 in words is "sixty-seven billion, nine hundred fifty-five million, forty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 37256053 74512106 111768159 149024212 223536318 298048424 447072636 596096848 707865007 894145272 1192193696 1415730014 1788290544 2123595021 2831460028 3576581088 4247190042 5662920056 8494380084 11325840112 16988760168 22651680224 33977520336 67955040672