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60985906944 = 283194319697
BaseRepresentation
bin111000110011000010…
…110001011100000000
312211102012202001211020
4320303002301130000
51444344343010234
644003323345440
74256200440654
oct706302613400
9184365661736
1060985906944
1123955a55596
12b9a0082280
13599baa1791
142d477b2a64
1518be09d549
hexe330b1700

60985906944 has 144 divisors (see below), whose sum is σ = 171268231680. Its totient is φ = 19212042240.

The previous prime is 60985906909. The next prime is 60985906957. The reversal of 60985906944 is 44960958906.

It is a congruent number.

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, 6284304 + ... + 6294000.

It is an arithmetic number, because the mean of its divisors is an integer number (1189362720).

Almost surely, 260985906944 is an apocalyptic number.

60985906944 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60985906944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85634115840).

60985906944 is an abundant number, since it is smaller than the sum of its proper divisors (110282324736).

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

60985906944 is a wasteful number, since it uses less digits than its factorization.

60985906944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10166 (or 10152 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 60.

The spelling of 60985906944 in words is "sixty billion, nine hundred eighty-five million, nine hundred six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 431 456 608 768 862 912 1216 1293 1724 1824 2432 2586 3448 3648 4864 5172 6896 7296 8189 9697 10344 13792 14592 16378 19394 20688 24567 27584 29091 32756 38788 41376 49134 55168 58182 65512 77576 82752 98268 110336 116364 131024 155152 165504 184243 196536 232728 262048 310304 331008 368486 393072 465456 524096 552729 620608 736972 786144 930912 1048192 1105458 1241216 1473944 1572288 1861824 2096384 2210916 2482432 2947888 3144576 3723648 4179407 4421832 5895776 6289152 7447296 8358814 8843664 11791552 12538221 16717628 17687328 23583104 25076442 33435256 35374656 47166208 50152884 66870512 70749312 79408733 100305768 133741024 141498624 158817466 200611536 238226199 267482048 317634932 401223072 476452398 534964096 635269864 802446144 952904796 1069928192 1270539728 1604892288 1905809592 2541079456 3209784576 3811619184 5082158912 7623238368 10164317824 15246476736 20328635648 30492953472 60985906944