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60442261568 = 26132328311161
BaseRepresentation
bin111000010010101000…
…111011100001000000
312210000022210000120022
4320102220323201000
51442241204332233
643433343233012
74236546514013
oct702250734100
9183008700508
1060442261568
11236a7098797
12b869ba8768
135913277820
142cd54d937a
15188b4b3398
hexe12a3b840

60442261568 has 112 divisors (see below), whose sum is σ = 135270581376. Its totient is φ = 26586869760.

The previous prime is 60442261553. The next prime is 60442261619. The reversal of 60442261568 is 86516224406.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5409908 + ... + 5421068.

It is an arithmetic number, because the mean of its divisors is an integer number (1207773048).

Almost surely, 260442261568 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 60442261568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67635290688).

60442261568 is an abundant number, since it is smaller than the sum of its proper divisors (74828319808).

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

60442261568 is a wasteful number, since it uses less digits than its factorization.

60442261568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11492 (or 11482 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 44.

The spelling of 60442261568 in words is "sixty billion, four hundred forty-two million, two hundred sixty-one thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 184 208 283 299 368 416 566 598 736 832 1132 1196 1472 2264 2392 3679 4528 4784 6509 7358 9056 9568 11161 13018 14716 18112 19136 22322 26036 29432 44644 52072 58864 84617 89288 104144 117728 145093 169234 178576 208288 235456 256703 290186 338468 357152 416576 513406 580372 676936 714304 1026812 1160744 1353872 2053624 2321488 2707744 3158563 3337139 4107248 4642976 5415488 6317126 6674278 8214496 9285952 12634252 13348556 16428992 25268504 26697112 41061319 50537008 53394224 72646949 82122638 101074016 106788448 145293898 164245276 202148032 213576896 290587796 328490552 581175592 656981104 944410337 1162351184 1313962208 1888820674 2324702368 2627924416 3777641348 4649404736 7555282696 15110565392 30221130784 60442261568