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61622251261220 = 225131277012662211
BaseRepresentation
bin11100000001011100011000…
…11001011000110100100100
322002012000210122100012000102
432000232030121120310210
531034104332310324340
6335020512121003232
715660026555225246
oct1600561431306444
9262160718305012
1061622251261220
11186a8939391481
126ab297b323518
13284cc516bac90
1411307662cc096
1571ce09898215
hex380b8c658d24

61622251261220 has 96 divisors (see below), whose sum is σ = 140658844225536. Its totient is φ = 22541464512000.

The previous prime is 61622251261139. The next prime is 61622251261223. The reversal of 61622251261220 is 2216215222616.

It is not an unprimeable number, because it can be changed into a prime (61622251261223) 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 31 ways as a sum of consecutive naturals, for example, 21815915 + ... + 24478125.

It is an arithmetic number, because the mean of its divisors is an integer number (1465196294016).

Almost surely, 261622251261220 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 61622251261220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70329422112768).

61622251261220 is an abundant number, since it is smaller than the sum of its proper divisors (79036592964316).

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

61622251261220 is a wasteful number, since it uses less digits than its factorization.

61622251261220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2663061 (or 2663059 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

Adding to 61622251261220 its reverse (2216215222616), we get a palindrome (63838466483836).

The spelling of 61622251261220 in words is "sixty-one trillion, six hundred twenty-two billion, two hundred fifty-one million, two hundred sixty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 127 130 254 260 508 635 701 1270 1402 1651 2540 2804 3302 3505 6604 7010 8255 9113 14020 16510 18226 33020 36452 45565 89027 91130 178054 182260 356108 445135 890270 1157351 1780540 2314702 2662211 4629404 5324422 5786755 10648844 11573510 13311055 23147020 26622110 34608743 53244220 69217486 138434972 173043715 338100797 346087430 676201594 692174860 1352403188 1690503985 1866209911 3381007970 3732419822 4395310361 6762015940 7464839644 8790620722 9331049555 17581241444 18662099110 21976551805 24260728843 37324198220 43953103610 48521457686 87906207220 97042915372 121303644215 237008658697 242607288430 474017317394 485214576860 948034634788 1185043293485 2370086586970 3081112563061 4740173173940 6162225126122 12324450252244 15405562815305 30811125630610 61622251261220