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62990400384 = 273460710009
BaseRepresentation
bin111010101010100001…
…010011101110000000
320000120220112212220000
4322222201103232000
52013001020303014
644534250520000
74356650366112
oct725241235600
9200526485800
1062990400384
112479449113a
121025b436000
135c2b160182
143097abb3b2
15198a04c509
hexeaa853b80

62990400384 has 160 divisors (see below), whose sum is σ = 187785998400. Its totient is φ = 20960114688.

The previous prime is 62990400379. The next prime is 62990400391. The reversal of 62990400384 is 48300409926.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6288372 + ... + 6298380.

It is an arithmetic number, because the mean of its divisors is an integer number (1173662490).

Almost surely, 262990400384 is an apocalyptic number.

62990400384 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 62990400384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93892999200).

62990400384 is an abundant number, since it is smaller than the sum of its proper divisors (124795598016).

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

62990400384 is a wasteful number, since it uses less digits than its factorization.

62990400384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10642 (or 10621 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 62990400384 in words is "sixty-two billion, nine hundred ninety million, four hundred thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 607 648 864 1152 1214 1296 1728 1821 2428 2592 3456 3642 4856 5184 5463 7284 9712 10009 10368 10926 14568 16389 19424 20018 21852 29136 30027 32778 38848 40036 43704 49167 58272 60054 65556 77696 80072 87408 90081 98334 116544 120108 131112 160144 174816 180162 196668 233088 240216 262224 270243 320288 349632 360324 393336 480432 524448 540486 640576 699264 720648 786672 810729 960864 1048896 1080972 1281152 1441296 1573344 1621458 1921728 2097792 2161944 2882592 3146688 3242916 3843456 4323888 5765184 6075463 6293376 6485832 8647776 11530368 12150926 12971664 17295552 18226389 24301852 25943328 34591104 36452778 48603704 51886656 54679167 72905556 97207408 103773312 109358334 145811112 164037501 194414816 218716668 291622224 328075002 388829632 437433336 492112503 583244448 656150004 777659264 874866672 984225006 1166488896 1312300008 1749733344 1968450012 2332977792 2624600016 3499466688 3936900024 5249200032 6998933376 7873800048 10498400064 15747600096 20996800128 31495200192 62990400384