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60164220420 = 22335499223277
BaseRepresentation
bin111000000010000100…
…010010011000000100
312202021221121001211000
4320002010102120010
51441204020023140
643350012013300
74226632302303
oct700204223004
9182257531730
1060164220420
1123574152317
12b7b0a61230
13589a797935
142caa60043a
151871d90a30
hexe02112604

60164220420 has 96 divisors (see below), whose sum is σ = 187553520000. Its totient is φ = 16011568512.

The previous prime is 60164220409. The next prime is 60164220421. The reversal of 60164220420 is 2402246106.

60164220420 is a `hidden beast` number, since 6 + 0 + 16 + 4 + 220 + 420 = 666.

It is a super-3 number, since 3×601642204203 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (60164220421) 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, 157822 + ... + 381098.

It is an arithmetic number, because the mean of its divisors is an integer number (1953682500).

Almost surely, 260164220420 is an apocalyptic number.

60164220420 is a gapful number since it is divisible by the number (60) 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 60164220420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93776760000).

60164220420 is an abundant number, since it is smaller than the sum of its proper divisors (127389299580).

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

60164220420 is a wasteful number, since it uses less digits than its factorization.

60164220420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223794 (or 223786 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 60164220420 its reverse (2402246106), we get a palindrome (62566466526).

The spelling of 60164220420 in words is "sixty billion, one hundred sixty-four million, two hundred twenty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 499 540 998 1497 1996 2495 2994 4491 4990 5988 7485 8982 9980 13473 14970 17964 22455 26946 29940 44910 53892 67365 89820 134730 223277 269460 446554 669831 893108 1116385 1339662 2009493 2232770 2679324 3349155 4018986 4465540 6028479 6698310 8037972 10047465 12056958 13396620 20094930 24113916 30142395 40189860 60284790 111415223 120569580 222830446 334245669 445660892 557076115 668491338 1002737007 1114152230 1336982676 1671228345 2005474014 2228304460 3008211021 3342456690 4010948028 5013685035 6016422042 6684913380 10027370070 12032844084 15041055105 20054740140 30082110210 60164220420