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681783031764 = 2232295320396043
BaseRepresentation
bin10011110101111010110…
…11110111011111010100
32102011210122001112020200
421322331123313133110
542132242424004024
61241112400300500
7100154135102652
oct11727533673724
92364718045220
10681783031764
1124316282484a
12b0173911730
134c3a42c0bb3
1424dd9b59dd2
1512b04b422c9
hex9ebd6f77d4

681783031764 has 144 divisors (see below), whose sum is σ = 1817653219200. Its totient is φ = 215143149312.

The previous prime is 681783031763. The next prime is 681783031771. The reversal of 681783031764 is 467130387186.

It is a super-2 number, since 2×6817830317642 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 681783031764.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681783031763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112818927 + ... + 112824969.

It is an arithmetic number, because the mean of its divisors is an integer number (12622591800).

Almost surely, 2681783031764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 681783031764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908826609600).

681783031764 is an abundant number, since it is smaller than the sum of its proper divisors (1135870187436).

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

681783031764 is a wasteful number, since it uses less digits than its factorization.

681783031764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8174 (or 8169 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 681783031764 in words is "six hundred eighty-one billion, seven hundred eighty-three million, thirty-one thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 53 58 87 106 116 159 174 212 261 318 348 477 522 636 954 1044 1537 1908 2039 3074 4078 4611 6043 6117 6148 8156 9222 12086 12234 13833 18129 18351 18444 24172 24468 27666 36258 36702 54387 55332 59131 72516 73404 108067 108774 118262 175247 177393 216134 217548 236524 320279 324201 350494 354786 432268 525741 532179 640558 648402 700988 709572 960837 972603 1051482 1064358 1281116 1296804 1577223 1921674 1945206 2102964 2128716 2882511 3133943 3154446 3843348 3890412 5765022 6267886 6308892 9288091 9401829 11530044 12321677 12535772 18576182 18803658 24643354 27864273 28205487 36965031 37152364 37607316 49286708 55728546 56410974 73930062 83592819 110895093 111457092 112821948 147860124 167185638 221790186 334371276 357328633 443580372 653048881 714657266 1071985899 1306097762 1429314532 1959146643 2143971798 2612195524 3215957697 3918293286 4287943596 5877439929 6431915394 7836586572 11754879858 12863830788 18938417549 23509759716 37876835098 56815252647 75753670196 113630505294 170445757941 227261010588 340891515882 681783031764