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12077658362056 = 23713943310633371
BaseRepresentation
bin1010111111000000110010…
…0010010101000011001000
31120202121112202222122102011
42233300030202111003020
53040340021020041211
641404222154145304
72354403430133230
oct257601442250310
946677482878364
1012077658362056
113937119310711
121430893422234
13697bc2661301
142da7c176acc0
1515e27aa45921
hexafc0c8950c8

12077658362056 has 128 divisors (see below), whose sum is σ = 26159425689600. Its totient is φ = 5120690088960.

The previous prime is 12077658362051. The next prime is 12077658362071. The reversal of 12077658362056 is 65026385677021.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12077658362051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3582810051 + ... + 3582813421.

It is an arithmetic number, because the mean of its divisors is an integer number (204370513200).

Almost surely, 212077658362056 is an apocalyptic number.

It is an amenable number.

12077658362056 is an abundant number, since it is smaller than the sum of its proper divisors (14081767327544).

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

12077658362056 is a wasteful number, since it uses less digits than its factorization.

12077658362056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5019 (or 5015 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 58.

The spelling of 12077658362056 in words is "twelve trillion, seventy-seven billion, six hundred fifty-eight million, three hundred sixty-two thousand, fifty-six".

Divisors: 1 2 4 7 8 14 28 56 139 278 433 556 866 973 1063 1112 1732 1946 2126 3031 3371 3464 3892 4252 6062 6742 7441 7784 8504 12124 13484 14882 23597 24248 26968 29764 47194 59528 60187 94388 120374 147757 188776 240748 295514 421309 460279 468569 481496 591028 842618 920558 937138 1034299 1182056 1459643 1685236 1841116 1874276 2068598 2919286 3221953 3279983 3370472 3583373 3682232 3748552 4137196 5838572 6443906 6559966 7166746 8274392 10217501 11677144 12887812 13119932 14333492 20435002 25083611 25775624 26239864 28666984 40870004 50167222 63978781 81740008 100334444 127957562 200668888 202890377 255915124 405780754 447851467 498088847 511830248 811561508 895702934 996177694 1420232639 1551600509 1623123016 1791405868 1992355388 2840465278 3103201018 3486621929 3582811736 3984710776 5680930556 6206402036 6973243858 10861203563 11361861112 12412804072 13946487716 21722407126 27892975432 43444814252 86889628504 215672470751 431344941502 862689883004 1509707295257 1725379766008 3019414590514 6038829181028 12077658362056