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9008698006 = 2711237334841
BaseRepresentation
bin10000110001111010…
…11101001010010110
3212020211110021102201
420120331131022112
5121422211314011
64045531355114
7436146445450
oct103075351226
925224407381
109008698006
1139031a2170
1218b4bb2a9a
13b07507349
1461663b2d0
1537ad48cc1
hex218f5d296

9008698006 has 64 divisors (see below), whose sum is σ = 17821264896. Its totient is φ = 3311193600.

The previous prime is 9008697979. The next prime is 9008698031. The reversal of 9008698006 is 6008968009.

It is a happy number.

9008698006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (46).

9008698006 is a strobogrammatic number because it is the same when read upside-down.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 241146 + ... + 275986.

It is an arithmetic number, because the mean of its divisors is an integer number (278457264).

Almost surely, 29008698006 is an apocalyptic number.

9008698006 is a deficient number, since it is larger than the sum of its proper divisors (8812566890).

9008698006 is a wasteful number, since it uses less digits than its factorization.

9008698006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34957.

The product of its (nonzero) digits is 186624, while the sum is 46.

The square root of 9008698006 is about 94914.1612511010. The cubic root of 9008698006 is about 2080.7537029114.

The spelling of 9008698006 in words is "nine billion, eight million, six hundred ninety-eight thousand, six".

Divisors: 1 2 7 11 14 22 23 46 73 77 146 154 161 253 322 506 511 803 1022 1606 1679 1771 3358 3542 5621 11242 11753 18469 23506 34841 36938 69682 129283 243887 258566 383251 487774 766502 801343 1602686 2543393 2682757 5086786 5365514 5609401 8814773 11218802 17629546 17803751 27977323 35607502 55954646 58498039 61703411 116996078 123406822 195841261 391682522 409486273 643478429 818972546 1286956858 4504349003 9008698006