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60480642080 = 255432204437
BaseRepresentation
bin111000010100111011…
…010101110000100000
312210002222222221201202
4320110323111300200
51442331021021310
643441234020332
74240523655365
oct702473256040
9183088887652
1060480642080
1123716822621
12b87aa176a8
13591b1c51a1
142cda64a46c
15188ea453a5
hexe14ed5c20

60480642080 has 72 divisors (see below), whose sum is σ = 146286428652. Its totient is φ = 23629530624.

The previous prime is 60480642077. The next prime is 60480642083. The reversal of 60480642080 is 8024608406.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (60480642077) and next prime (60480642083).

It can be written as a sum of positive squares in 2 ways, for example, as 59401388176 + 1079253904 = 243724^2 + 32852^2 .

It is not an unprimeable number, because it can be changed into a prime (60480642083) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 193622 + ... + 398058.

Almost surely, 260480642080 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 60480642080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73143214326).

60480642080 is an abundant number, since it is smaller than the sum of its proper divisors (85805786572).

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

60480642080 is a wasteful number, since it uses less digits than its factorization.

60480642080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204538 (or 204487 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The spelling of 60480642080 in words is "sixty billion, four hundred eighty million, six hundred forty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 80 86 160 172 215 344 430 688 860 1376 1720 1849 3440 3698 6880 7396 9245 14792 18490 29584 36980 59168 73960 147920 204437 295840 408874 817748 1022185 1635496 2044370 3270992 4088740 6541984 8177480 8790791 16354960 17581582 32709920 35163164 43953955 70326328 87907910 140652656 175815820 281305312 351631640 378004013 703263280 756008026 1406526560 1512016052 1890020065 3024032104 3780040130 6048064208 7560080260 12096128416 15120160520 30240321040 60480642080