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55161666116656 = 24117322926969697
BaseRepresentation
bin11001000101011010100111…
…00000111001110000110000
321020022101220100121000221021
430202231103200321300300
524212232043011213111
6313152530343505224
714422204336460401
oct1442552340716060
9236271810530837
1055161666116656
1116637a27508920
12622a84a458214
1324a1951c989a8
14d89ba5c899a8
15659d3522cd71
hex322b53839c30

55161666116656 has 160 divisors (see below), whose sum is σ = 119147950382400. Its totient is φ = 24530137251840.

The previous prime is 55161666116597. The next prime is 55161666116657. The reversal of 55161666116656 is 65661166616155.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 55161666116594 and 55161666116603.

It is not an unprimeable number, because it can be changed into a prime (55161666116657) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 791414800 + ... + 791484496.

It is an arithmetic number, because the mean of its divisors is an integer number (744674689890).

Almost surely, 255161666116656 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 55161666116656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59573975191200).

55161666116656 is an abundant number, since it is smaller than the sum of its proper divisors (63986284265744).

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

55161666116656 is a wasteful number, since it uses less digits than its factorization.

55161666116656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70287 (or 70281 counting only the distinct ones).

The product of its digits is 34992000, while the sum is 61.

The spelling of 55161666116656 in words is "fifty-five trillion, one hundred sixty-one billion, six hundred sixty-six million, one hundred sixteen thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 44 73 88 146 176 229 269 292 458 538 584 803 916 1076 1168 1606 1832 2152 2519 2959 3212 3664 4304 5038 5918 6424 10076 11836 12848 16717 19637 20152 23672 33434 39274 40304 47344 61601 66868 69697 78548 123202 133736 139394 157096 183887 216007 246404 267472 278788 314192 367774 432014 492808 557576 677611 735548 766667 864028 985616 1115152 1355222 1471096 1533334 1728056 2710444 2942192 3066668 3456112 4496873 5087881 5420888 6133336 8993746 10175762 10841776 12266672 15960613 17987492 18748493 20351524 31921226 35974984 37496986 40703048 49465603 55966691 63842452 71949968 74993972 81406096 98931206 111933382 127684904 149987944 175566743 197862412 206233423 223866764 255369808 299975888 351133486 395724824 412466846 447733528 702266972 791449648 824933692 895467056 1165124749 1368639989 1404533944 1649867384 2330249498 2737279978 2809067888 3299734768 4293404897 4660498996 5474559956 8586809794 9320997992 10949119912 12816372239 15055039879 17173619588 18641995984 21898239824 25632744478 30110079758 34347239176 47227453867 51265488956 60220159516 68694478352 94454907734 102530977912 120440319032 188909815468 205061955824 240880638064 313418557481 377819630936 626837114962 755639261872 1253674229924 2507348459848 3447604132291 5014696919696 6895208264582 13790416529164 27580833058328 55161666116656