Search a number
-
+
60278045968 = 2476110782457
BaseRepresentation
bin111000001000110110…
…011111110100010000
312202120212210000010001
4320020312133310100
51441422134432333
643405155415344
74232513636230
oct701066376420
9182525700101
1060278045968
1123622427118
12b822bb4554
1358b823c32a
142cbb78dcc0
15187bd76b7d
hexe08d9fd10

60278045968 has 80 divisors (see below), whose sum is σ = 136930414464. Its totient is φ = 25172167680.

The previous prime is 60278045957. The next prime is 60278045977. The reversal of 60278045968 is 86954087206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 689796 + ... + 772252.

Almost surely, 260278045968 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 60278045968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68465207232).

60278045968 is an abundant number, since it is smaller than the sum of its proper divisors (76652368496).

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

60278045968 is a wasteful number, since it uses less digits than its factorization.

60278045968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82640 (or 82634 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 55.

The spelling of 60278045968 in words is "sixty billion, two hundred seventy-eight million, forty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 61 107 112 122 214 244 427 428 488 749 854 856 976 1498 1708 1712 2996 3416 5992 6527 6832 11984 13054 26108 45689 52216 82457 91378 104432 164914 182756 329828 365512 577199 659656 731024 1154398 1319312 2308796 4617592 5029877 8822899 9235184 10059754 17645798 20119508 35209139 35291596 40239016 61760293 70418278 70583192 80478032 123520586 140836556 141166384 247041172 281673112 494082344 538196839 563346224 988164688 1076393678 2152787356 3767377873 4305574712 7534755746 8611149424 15069511492 30139022984 60278045968