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10471668690 = 2357593072753
BaseRepresentation
bin10011100000010100…
…01111101111010010
31000000210021212221010
421300022033233102
5132421221344230
64451032111350
7520332500220
oct116012175722
930023255833
1010471668690
114493a9074a
122042b35556
13cab632c82
14714a61b10
154144cb9b0
hex27028fbd2

10471668690 has 128 divisors (see below), whose sum is σ = 29314897920. Its totient is φ = 2344439808.

The previous prime is 10471668677. The next prime is 10471668731. The reversal of 10471668690 is 9686617401.

It is a happy number.

10471668690 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×104716686902 (a number of 21 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 63 ways as a sum of consecutive naturals, for example, 3802354 + ... + 3805106.

It is an arithmetic number, because the mean of its divisors is an integer number (229022640).

Almost surely, 210471668690 is an apocalyptic number.

10471668690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10471668690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14657448960).

10471668690 is an abundant number, since it is smaller than the sum of its proper divisors (18843229230).

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

10471668690 is a wasteful number, since it uses less digits than its factorization.

10471668690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3136.

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 10471668690 in words is "ten billion, four hundred seventy-one million, six hundred sixty-eight thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 59 70 105 118 177 210 295 307 354 413 590 614 826 885 921 1239 1535 1770 1842 2065 2149 2478 2753 3070 4130 4298 4605 5506 6195 6447 8259 9210 10745 12390 12894 13765 16518 18113 19271 21490 27530 32235 36226 38542 41295 54339 57813 64470 82590 90565 96355 108678 115626 126791 162427 181130 192710 253582 271695 289065 324854 380373 487281 543390 578130 633955 760746 812135 845171 974562 1136989 1267910 1624270 1690342 1901865 2273978 2436405 2535513 3410967 3803730 4225855 4872810 5071026 5684945 5916197 6821934 8451710 11369890 11832394 12677565 17054835 17748591 25355130 29580985 34109670 35497182 49865089 59161970 88742955 99730178 149595267 177485910 249325445 299190534 349055623 498650890 698111246 747976335 1047166869 1495952670 1745278115 2094333738 3490556230 5235834345 10471668690