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120313688064 = 212352118793
BaseRepresentation
bin111000000001101000…
…0010011000000000000
3102111112212102121121220
41300003100103000000
53432400301004224
6131134335515040
711456325321603
oct1600320230000
9374485377556
10120313688064
114702aa38659
121b398988a80
13b4651985cb
145b74c8033a
1531e27ba279
hex1c03413000

120313688064 has 104 divisors (see below), whose sum is σ = 321430173552. Its totient is φ = 40025456640.

The previous prime is 120313688021. The next prime is 120313688113. The reversal of 120313688064 is 460886313021.

It is a super-2 number, since 2×1203136880642 (a number of 23 digits) contains 22 as substring.

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, 6392652 + ... + 6411444.

Almost surely, 2120313688064 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 120313688064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160715086776).

120313688064 is an abundant number, since it is smaller than the sum of its proper divisors (201116485488).

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

120313688064 is an equidigital number, since it uses as much as digits as its factorization.

120313688064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19341 (or 19319 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 120313688064 in words is "one hundred twenty billion, three hundred thirteen million, six hundred eighty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 521 768 1024 1042 1536 1563 2048 2084 3072 3126 4096 4168 6144 6252 8336 12288 12504 16672 18793 25008 33344 37586 50016 56379 66688 75172 100032 112758 133376 150344 200064 225516 266752 300688 400128 451032 533504 601376 800256 902064 1067008 1202752 1600512 1804128 2134016 2405504 3201024 3608256 4811008 6402048 7216512 9622016 9791153 14433024 19244032 19582306 28866048 29373459 38488064 39164612 57732096 58746918 76976128 78329224 115464192 117493836 156658448 230928384 234987672 313316896 469975344 626633792 939950688 1253267584 1879901376 2506535168 3759802752 5013070336 7519605504 10026140672 15039211008 20052281344 30078422016 40104562688 60156844032 120313688064