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64064846052 = 223317210331987
BaseRepresentation
bin111011101010100011…
…111111100011100100
320010100210022101021000
4323222203333203210
52022201100033202
645233031553300
74425405130554
oct735243774344
9203323271230
1064064846052
1125195a32069
12104bb22b830
13606c93453c
14315a687164
1519ee53691c
hexeea8ff8e4

64064846052 has 144 divisors (see below), whose sum is σ = 176698688320. Its totient is φ = 20069213184.

The previous prime is 64064846039. The next prime is 64064846077. The reversal of 64064846052 is 25064846046.

64064846052 is a `hidden beast` number, since 64 + 0 + 6 + 484 + 60 + 52 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 64064845989 and 64064846007.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32241003 + ... + 32242989.

Almost surely, 264064846052 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 64064846052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88349344160).

64064846052 is an abundant number, since it is smaller than the sum of its proper divisors (112633842268).

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

64064846052 is a wasteful number, since it uses less digits than its factorization.

64064846052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3067 (or 3042 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

It can be divided in two parts, 64064 and 846052, that added together give a square (910116 = 9542).

The spelling of 64064846052 in words is "sixty-four billion, sixty-four million, eight hundred forty-six thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 289 306 459 578 612 867 918 1033 1156 1734 1836 1987 2066 2601 3099 3468 3974 4132 5202 5961 6198 7803 7948 9297 10404 11922 12396 15606 17561 17883 18594 23844 27891 31212 33779 35122 35766 37188 52683 53649 55782 67558 70244 71532 101337 105366 107298 111564 135116 158049 202674 210732 214596 298537 304011 316098 405348 474147 574243 597074 608022 632196 895611 912033 948294 1148486 1194148 1216044 1722729 1791222 1824066 1896588 2052571 2296972 2686833 3445458 3582444 3648132 4105142 5168187 5373666 6157713 6890916 8060499 8210284 10336374 10747332 12315426 15504561 16120998 18473139 20672748 24630852 31009122 32241996 34893707 36946278 55419417 62018244 69787414 73892556 104681121 110838834 139574828 209362242 221677668 314043363 418724484 593193019 628086726 942130089 1186386038 1256173452 1779579057 1884260178 2372772076 3559158114 3768520356 5338737171 7118316228 10677474342 16016211513 21354948684 32032423026 64064846052