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126340760064 = 293541152039
BaseRepresentation
bin111010110101001111…
…1110000001000000000
3110002002220102121002210
41311222133300020000
54032221213310224
6134012400542120
712061561512231
oct1655237601000
9402086377083
10126340760064
1149643079aa2
122059b321940
13bbb5a526bc
1461874d9088
15344699e429
hex1d6a7f0200

126340760064 has 80 divisors (see below), whose sum is σ = 337204042560. Its totient is φ = 42035466240.

The previous prime is 126340760047. The next prime is 126340760071. The reversal of 126340760064 is 460067043621.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 754957 + ... + 906995.

It is an arithmetic number, because the mean of its divisors is an integer number (4215050532).

Almost surely, 2126340760064 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 126340760064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168602021280).

126340760064 is an abundant number, since it is smaller than the sum of its proper divisors (210863282496).

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

126340760064 is an equidigital number, since it uses as much as digits as its factorization.

126340760064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152601 (or 152585 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 126340760064 in words is "one hundred twenty-six billion, three hundred forty million, seven hundred sixty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 541 768 1082 1536 1623 2164 3246 4328 6492 8656 12984 17312 25968 34624 51936 69248 103872 138496 152039 207744 276992 304078 415488 456117 608156 830976 912234 1216312 1824468 2432624 3648936 4865248 7297872 9730496 14595744 19460992 29191488 38921984 58382976 77843968 82253099 116765952 164506198 233531904 246759297 329012396 493518594 658024792 987037188 1316049584 1974074376 2632099168 3948148752 5264198336 7896297504 10528396672 15792595008 21056793344 31585190016 42113586688 63170380032 126340760064