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230926007385072 = 24331958943477313
BaseRepresentation
bin110100100000011010100110…
…101000111011101111110000
31010021122022101111120221122000
4310200122212220323233300
5220231442430342310242
62135045535424414000
766432565510635456
oct6440324650735760
91107568344527560
10230926007385072
1167642195a3856a
1221a97010777300
139bb12c931517c
144104c424509d6
151ba6dae706a4c
hexd206a6a3bbf0

230926007385072 has 160 divisors (see below), whose sum is σ = 697742951116800. Its totient is φ = 72922612359168.

The previous prime is 230926007385037. The next prime is 230926007385109. The reversal of 230926007385072 is 270583700629032.

230926007385072 is a `hidden beast` number, since 2 + 3 + 0 + 9 + 2 + 60 + 0 + 73 + 8 + 507 + 2 = 666.

230926007385072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 483565488 + ... + 484042800.

It is an arithmetic number, because the mean of its divisors is an integer number (4360893444480).

Almost surely, 2230926007385072 is an apocalyptic number.

It is an amenable number.

230926007385072 is an abundant number, since it is smaller than the sum of its proper divisors (466816943731728).

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

230926007385072 is a wasteful number, since it uses less digits than its factorization.

230926007385072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536292 (or 536280 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 230926007385072 in words is "two hundred thirty trillion, nine hundred twenty-six billion, seven million, three hundred eighty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 684 912 1026 1368 2052 2736 4104 8208 58943 117886 176829 235772 353658 471544 477313 530487 707316 943088 954626 1060974 1119917 1414632 1431939 1591461 1909252 2121948 2239834 2829264 2863878 3182922 3359751 3818504 4243896 4295817 4479668 5727756 6365844 6719502 7637008 8487792 8591634 8959336 9068947 10079253 11455512 12731688 12887451 13439004 17183268 17918672 18137894 20158506 22911024 25463376 25774902 26878008 27206841 30237759 34366536 36275788 40317012 51549804 53756016 54413682 60475518 68733072 72551576 80634024 81620523 103099608 108827364 120951036 145103152 161268048 163241046 206199216 217654728 241902072 244861569 326482092 435309456 483804144 489723138 652964184 979446276 1305928368 1958892552 3917785104 28134260159 56268520318 84402780477 112537040636 168805560954 225074081272 253208341431 337611121908 450148162544 506416682862 534550943021 675222243816 759625024293 1012833365724 1069101886042 1350444487632 1519250048586 1603652829063 2025666731448 2138203772084 3038500097172 3207305658126 4051333462896 4276407544168 4810958487189 6077000194344 6414611316252 8552815088336 9621916974378 12154000388688 12829222632504 14432875461567 19243833948756 25658445265008 28865750923134 38487667897512 57731501846268 76975335795024 115463003692536 230926007385072