Search a number
-
+
60668125408 = 25111959153749
BaseRepresentation
bin111000100000000110…
…100010000011100000
312210121001210002111201
4320200012202003200
51443222020003113
643512012250544
74245261362122
oct704006420340
9183531702451
1060668125408
1123802636620
12b911770a54
13594acb9277
142d174d1212
1518a122acdd
hexe201a20e0

60668125408 has 96 divisors (see below), whose sum is σ = 139482000000. Its totient is φ = 25682065920.

The previous prime is 60668125379. The next prime is 60668125411. The reversal of 60668125408 is 80452186606.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 317718 + ... + 471466.

It is an arithmetic number, because the mean of its divisors is an integer number (1452937500).

Almost surely, 260668125408 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 60668125408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69741000000).

60668125408 is an abundant number, since it is smaller than the sum of its proper divisors (78813874592).

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

60668125408 is a wasteful number, since it uses less digits than its factorization.

60668125408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153848 (or 153840 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 46.

The spelling of 60668125408 in words is "sixty billion, six hundred sixty-eight million, one hundred twenty-five thousand, four hundred eight".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 59 76 88 118 152 176 209 236 304 352 418 472 608 649 836 944 1121 1298 1672 1888 2242 2596 3344 4484 5192 6688 8968 10384 12331 17936 20768 24662 35872 49324 98648 153749 197296 307498 394592 614996 1229992 1691239 2459984 2921231 3382478 4919968 5842462 6764956 9071191 11684924 13529912 18142382 23369848 27059824 32133541 36284764 46739696 54119648 64267082 72569528 93479392 99783101 128534164 145139056 172352629 199566202 257068328 290278112 344705258 399132404 514136656 689410516 798264808 1028273312 1378821032 1596529616 1895878919 2757642064 3193059232 3791757838 5515284128 7583515676 15167031352 30334062704 60668125408