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60441746994 = 23317316073499
BaseRepresentation
bin111000010010100110…
…111101111000110010
312210000021210212201000
4320102212331320302
51442241041400434
643433324222430
74236542241546
oct702246757062
9183007725630
1060441746994
11236a6877122
12b86999aa16
135913127545
142cd5403a26
15188b410b99
hexe129bde32

60441746994 has 128 divisors (see below), whose sum is σ = 147087360000. Its totient is φ = 18314968320.

The previous prime is 60441746993. The next prime is 60441747029. The reversal of 60441746994 is 49964714406.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 60441746994.

It is not an unprimeable number, because it can be changed into a prime (60441746993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17272257 + ... + 17275755.

It is an arithmetic number, because the mean of its divisors is an integer number (1149120000).

Almost surely, 260441746994 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60441746994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73543680000).

60441746994 is an abundant number, since it is smaller than the sum of its proper divisors (86645613006).

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

60441746994 is a wasteful number, since it uses less digits than its factorization.

60441746994 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4165 (or 4159 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 60441746994 in words is "sixty billion, four hundred forty-one million, seven hundred forty-six thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 9 17 18 27 31 34 51 54 62 93 102 153 186 279 306 459 527 558 607 837 918 1054 1214 1581 1674 1821 3162 3499 3642 4743 5463 6998 9486 10319 10497 10926 14229 16389 18817 20638 20994 28458 30957 31491 32778 37634 56451 59483 61914 62982 92871 94473 108469 112902 118966 169353 178449 185742 188946 216938 278613 319889 325407 338706 356898 508059 535347 557226 639778 650814 959667 976221 1016118 1070694 1606041 1843973 1919334 1952442 2123893 2879001 2928663 3212082 3687946 4247786 5531919 5758002 5857326 6371679 8637003 11063838 12743358 16595757 17274006 19115037 33191514 36106181 38230074 49787271 57345111 65840683 72212362 99574542 108318543 114690222 131681366 197522049 216637086 324955629 395044098 592566147 649911258 974866887 1119291611 1185132294 1777698441 1949733774 2238583222 3357874833 3555396882 6715749666 10073624499 20147248998 30220873497 60441746994