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104466219312 = 243713127188317
BaseRepresentation
bin110000101001010101…
…1000000000100110000
3100222122102121210100210
41201102223000010300
53202421323004222
6115554025344120
710355525133030
oct1412253000460
9328572553323
10104466219312
1140338503844
12182b5638040
139b0abb9470
1450b02958c0
152ab63a3d0c
hex1852ac0130

104466219312 has 160 divisors (see below), whose sum is σ = 334766129152. Its totient is φ = 27334444032.

The previous prime is 104466219293. The next prime is 104466219331. The reversal of 104466219312 is 213912664401.

It is an interprime number because it is at equal distance from previous prime (104466219293) and next prime (104466219331).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 460578 + ... + 648894.

Almost surely, 2104466219312 is an apocalyptic number.

104466219312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104466219312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167383064576).

104466219312 is an abundant number, since it is smaller than the sum of its proper divisors (230299909840).

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

104466219312 is a wasteful number, since it uses less digits than its factorization.

104466219312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188475 (or 188469 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 104466219312 in words is "one hundred four billion, four hundred sixty-six million, two hundred nineteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 127 156 168 182 208 254 273 312 336 364 381 508 546 624 728 762 889 1016 1092 1456 1524 1651 1778 2032 2184 2667 3048 3302 3556 4368 4953 5334 6096 6604 7112 9906 10668 11557 13208 14224 19812 21336 23114 26416 34671 39624 42672 46228 69342 79248 92456 138684 184912 188317 277368 376634 554736 564951 753268 1129902 1318219 1506536 2259804 2448121 2636438 3013072 3954657 4519608 4896242 5272876 7344363 7909314 9039216 9792484 10545752 14688726 15818628 17136847 19584968 21091504 23916259 29377452 31637256 34273694 39169936 47832518 51410541 58754904 63274512 68547388 71748777 95665036 102821082 117509808 137094776 143497554 167413813 191330072 205642164 274189552 286995108 310911367 334827626 382660144 411284328 502241439 573990216 621822734 669655252 822568656 932734101 1004482878 1147980432 1243645468 1339310504 1865468202 2008965756 2176379569 2487290936 2678621008 3730936404 4017931512 4352759138 4974581872 6529138707 7461872808 8035863024 8705518276 13058277414 14923745616 17411036552 26116554828 34822073104 52233109656 104466219312