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868404061924 = 22743722572
BaseRepresentation
bin11001010001100001110…
…10100110011011100100
310002000111120110010101121
430220300322212123210
5103211442414440144
61502534520503324
7116511601510000
oct14506072463344
93060446403347
10868404061924
113053194a9983
1212037691ab44
1363b75881069
1430061023700
15178c8757384
hexca30ea66e4

868404061924 has 135 divisors (see below), whose sum is σ = 1829214458043. Its totient is φ = 360705429504.

The previous prime is 868404061907. The next prime is 868404061927. The reversal of 868404061924 is 429160404868.

The square root of 868404061924 is 931882.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 700599132324 + 167804929600 = 837018^2 + 409640^2 .

It is a super-2 number, since 2×8684040619242 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (868404061927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3379004004 + ... + 3379004260.

Almost surely, 2868404061924 is an apocalyptic number.

868404061924 is the 931882-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 868404061924

868404061924 is an abundant number, since it is smaller than the sum of its proper divisors (960810396119).

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

868404061924 is an frugal number, since it uses more digits than its factorization.

868404061924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 52.

The spelling of 868404061924 in words is "eight hundred sixty-eight billion, four hundred four million, sixty-one thousand, nine hundred twenty-four".

Divisors: 1 2 4 7 14 28 37 49 74 98 148 196 257 259 343 514 518 686 1028 1036 1369 1372 1799 1813 2401 2738 3598 3626 4802 5476 7196 7252 9509 9583 9604 12593 12691 19018 19166 25186 25382 38036 38332 50372 50764 66049 66563 67081 88151 88837 132098 133126 134162 176302 177674 264196 266252 268324 351833 352604 355348 462343 465941 469567 617057 703666 924686 931882 939134 1234114 1407332 1849372 1863764 1878268 2443813 2462831 2468228 3236401 3261587 3286969 4887626 4925662 6472802 6523174 6573938 9775252 9851324 12945604 13046348 13147876 17106691 17239817 22654807 22831109 34213382 34479634 45309614 45662218 68426764 68959268 90421081 90619228 91324436 119746837 120678719 158583649 180842162 239493674 241357438 317167298 361684324 478987348 482714876 632947567 634334596 838227859 844751033 1265895134 1676455718 1689502066 2531790268 3352911436 3379004132 4430632969 5867595013 8861265938 11735190026 17722531876 23470380052 31014430783 62028861566 124057723132 217101015481 434202030962 868404061924