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128923321792 = 2631317359571
BaseRepresentation
bin111100000010001101…
…1011100010111000000
3110022202212222022210011
41320010123130113000
54103013332244132
6135120534114304
712212561103556
oct1700433342700
9408685868704
10128923321792
114a748943931
1220ba01ab994
13c207acb235
1463504bbbd6
153548587b47
hex1e046dc5c0

128923321792 has 112 divisors (see below), whose sum is σ = 266121123840. Its totient is φ = 61903641600.

The previous prime is 128923321781. The next prime is 128923321799. The reversal of 128923321792 is 297123329821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128923321799) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225784867 + ... + 225785437.

Almost surely, 2128923321792 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 128923321792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133060561920).

128923321792 is an abundant number, since it is smaller than the sum of its proper divisors (137197802048).

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

128923321792 is a wasteful number, since it uses less digits than its factorization.

128923321792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290 (or 1280 counting only the distinct ones).

The product of its digits is 653184, while the sum is 49.

It can be divided in two parts, 1289233 and 21792, that added together give a square (1311025 = 11452).

The spelling of 128923321792 in words is "one hundred twenty-eight billion, nine hundred twenty-three million, three hundred twenty-one thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 317 359 496 571 634 718 992 1142 1268 1436 1984 2284 2536 2872 4568 5072 5744 9136 9827 10144 11129 11488 17701 18272 19654 20288 22258 22976 35402 36544 39308 44516 70804 78616 89032 113803 141608 157232 178064 181007 204989 227606 283216 314464 356128 362014 409978 455212 566432 628928 712256 724028 819956 910424 1132864 1448056 1639912 1820848 2896112 3279824 3527893 3641696 5611217 5792224 6354659 6559648 7055786 7283392 11222434 11584448 12709318 13119296 14111572 22444868 25418636 28223144 44889736 50837272 56446288 64981513 89779472 101674544 112892576 129963026 179558944 203349088 225785152 259926052 359117888 406698176 519852104 1039704208 2014426903 2079408416 4028853806 4158816832 8057707612 16115415224 32230830448 64461660896 128923321792