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133060951312 = 24312519191163
BaseRepresentation
bin111101111101100001…
…1001111110100010000
3110201110020122200102221
41323323003033310100
54140002100420222
6141043301550424
712420242265442
oct1737303176420
9421406580387
10133060951312
1151481490163
1221955a15414
13c7170aa023
146623c1a492
1536db9470c7
hex1efb0cfd10

133060951312 has 80 divisors (see below), whose sum is σ = 267702865920. Its totient is φ = 64002960000.

The previous prime is 133060951301. The next prime is 133060951339. The reversal of 133060951312 is 213159060331.

It is a happy number.

133060951312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 114411243 + ... + 114412405.

It is an arithmetic number, because the mean of its divisors is an integer number (3346285824).

Almost surely, 2133060951312 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 133060951312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133851432960).

133060951312 is an abundant number, since it is smaller than the sum of its proper divisors (134641914608).

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

133060951312 is a wasteful number, since it uses less digits than its factorization.

133060951312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2372 (or 2366 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 34.

The spelling of 133060951312 in words is "one hundred thirty-three billion, sixty million, nine hundred fifty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 31 62 124 248 251 496 502 919 1004 1163 1838 2008 2326 3676 4016 4652 7352 7781 9304 14704 15562 18608 28489 31124 36053 56978 62248 72106 113956 124496 144212 227912 230669 288424 291913 455824 461338 576848 583826 922676 1068797 1167652 1845352 2137594 2335304 3690704 4275188 4670608 7150739 8550376 9049303 14301478 17100752 18098606 28602956 33132707 36197212 57205912 66265414 72394424 114411824 132530828 144788848 265061656 268268047 530123312 536536094 1073072188 2146144376 4292288752 8316309457 16632618914 33265237828 66530475656 133060951312