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60553442640 = 2435478960317
BaseRepresentation
bin111000011001010001…
…000011010101010000
312210022001222121022210
4320121101003111100
51443003140131030
643452354232120
74242366525045
oct703121032520
9183261877283
1060553442640
1123753926779
12b89b285640
135930304642
142d0619b1cc
151896125bb0
hexe19443550

60553442640 has 160 divisors (see below), whose sum is σ = 193866877440. Its totient is φ = 15626186752.

The previous prime is 60553442633. The next prime is 60553442659. The reversal of 60553442640 is 4624435506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 973762 + ... + 1034078.

It is an arithmetic number, because the mean of its divisors is an integer number (1211667984).

Almost surely, 260553442640 is an apocalyptic number.

60553442640 is a gapful number since it is divisible by the number (60) 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 60553442640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96933438720).

60553442640 is an abundant number, since it is smaller than the sum of its proper divisors (133313434800).

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

60553442640 is a wasteful number, since it uses less digits than its factorization.

60553442640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60469 (or 60463 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 39.

The spelling of 60553442640 in words is "sixty billion, five hundred fifty-three million, four hundred forty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 89 94 120 141 178 188 235 240 267 282 356 376 445 470 534 564 705 712 752 890 940 1068 1128 1335 1410 1424 1780 1880 2136 2256 2670 2820 3560 3760 4183 4272 5340 5640 7120 8366 10680 11280 12549 16732 20915 21360 25098 33464 41830 50196 60317 62745 66928 83660 100392 120634 125490 167320 180951 200784 241268 250980 301585 334640 361902 482536 501960 603170 723804 904755 965072 1003920 1206340 1447608 1809510 2412680 2834899 2895216 3619020 4825360 5368213 5669798 7238040 8504697 10736426 11339596 14174495 14476080 16104639 17009394 21472852 22679192 26841065 28348990 32209278 34018788 42523485 42945704 45358384 53682130 56697980 64418556 68037576 80523195 85046970 85891408 107364260 113395960 128837112 136075152 161046390 170093940 214728520 226791920 252306011 257674224 322092780 340187880 429457040 504612022 644185560 680375760 756918033 1009224044 1261530055 1288371120 1513836066 2018448088 2523060110 3027672132 3784590165 4036896176 5046120220 6055344264 7569180330 10092240440 12110688528 15138360660 20184480880 30276721320 60553442640