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3686881492674 = 23217313131241743
BaseRepresentation
bin110101101001101011010…
…000101111111011000010
3111001110111002222110020100
4311221223100233323002
5440401213130231144
611501421401423230
7530240234416422
oct65515320577302
914043432873210
103686881492674
1111a1663538686
124b666119ab16
132098961a4773
14ca635c24482
1565d86c8b269
hex35a6b42fec2

3686881492674 has 96 divisors (see below), whose sum is σ = 8758884685824. Its totient is φ = 1115779691520.

The previous prime is 3686881492649. The next prime is 3686881492741. The reversal of 3686881492674 is 4762941886863.

3686881492674 is a `hidden beast` number, since 3 + 6 + 8 + 68 + 8 + 1 + 492 + 6 + 74 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2348247 + ... + 3589989.

It is an arithmetic number, because the mean of its divisors is an integer number (91238382144).

Almost surely, 23686881492674 is an apocalyptic number.

3686881492674 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3686881492674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4379442342912).

3686881492674 is an abundant number, since it is smaller than the sum of its proper divisors (5072003193150).

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

3686881492674 is a wasteful number, since it uses less digits than its factorization.

3686881492674 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242112 (or 1242109 counting only the distinct ones).

The product of its digits is 668860416, while the sum is 72.

The spelling of 3686881492674 in words is "three trillion, six hundred eighty-six billion, eight hundred eighty-one million, four hundred ninety-two thousand, six hundred seventy-four".

Divisors: 1 2 3 6 9 17 18 31 34 51 62 93 102 153 186 279 306 313 527 558 626 939 1054 1581 1878 2817 3162 4743 5321 5634 9486 9703 10642 15963 19406 29109 31926 47889 58218 87327 95778 164951 174654 329902 494853 989706 1241743 1484559 2483486 2969118 3725229 7450458 11175687 21109631 22351374 38494033 42219262 63328893 76988066 115482099 126657786 189986679 230964198 346446297 379973358 388665559 654398561 692892594 777331118 1165996677 1308797122 1963195683 2331993354 3497990031 3926391366 5889587049 6607314503 6995980062 11779174098 12048632329 13214629006 19821943509 24097264658 36145896987 39643887018 59465830527 72291793974 108437690961 118931661054 204826749593 216875381922 409653499186 614480248779 1228960497558 1843440746337 3686881492674