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68928728211 = 32725961137317
BaseRepresentation
bin100000000110001111…
…0001110110010010011
320120220202120012020200
41000030132032302103
52112131223300321
651355421510243
74660055344200
oct1001436166223
9216822505220
1068928728211
1127261519792
1211438112383
136666514b15
14349c634ca7
151bd6551d26
hex100c78ec93

68928728211 has 144 divisors (see below), whose sum is σ = 120967123680. Its totient is φ = 37688232960.

The previous prime is 68928728201. The next prime is 68928728233. The reversal of 68928728211 is 11282782986.

68928728211 is a `hidden beast` number, since 6 + 89 + 287 + 282 + 1 + 1 = 666.

It is not a de Polignac number, because 68928728211 - 219 = 68928203923 is a prime.

It is not an unprimeable number, because it can be changed into a prime (68928728201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 217440625 + ... + 217440941.

It is an arithmetic number, because the mean of its divisors is an integer number (840049470).

Almost surely, 268928728211 is an apocalyptic number.

68928728211 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

68928728211 is a deficient number, since it is larger than the sum of its proper divisors (52038395469).

68928728211 is a wasteful number, since it uses less digits than its factorization.

68928728211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 584 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 54.

The spelling of 68928728211 in words is "sixty-eight billion, nine hundred twenty-eight million, seven hundred twenty-eight thousand, two hundred eleven".

Divisors: 1 3 7 9 21 49 59 61 63 137 147 177 183 317 411 413 427 441 531 549 951 959 1233 1239 1281 2219 2853 2877 2891 2989 3599 3717 3843 6657 6713 8083 8357 8631 8673 8967 10797 15533 18703 19337 19971 20139 24249 25071 25193 26019 26901 32391 43429 46599 56109 56581 58011 58499 60417 72747 75213 75579 130287 130921 135359 139797 168327 169743 174033 175497 176351 226737 304003 390861 392763 396067 406077 409493 493063 509229 526491 529053 912009 916447 947513 1140883 1178289 1188201 1218231 1228479 1479189 1587159 2128021 2562311 2649169 2736027 2749341 2842539 3422649 3451441 3564603 3685437 4437567 6384063 7686933 7947507 7986181 8248023 8527617 10267947 10354323 17936177 18544183 19152189 23060799 23842521 23958543 24160087 31062969 53808531 55632549 55903267 71875629 72480261 125553239 129809281 156300971 161425593 166897647 167709801 217440783 376659717 389427843 468902913 503129403 1094106797 1129979151 1168283529 1406708739 3282320391 7658747579 9846961173 22976242737 68928728211