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148468512082221 = 33232694571944797
BaseRepresentation
bin100001110000100000000100…
…111011000100100100101101
3201110200110011212202200212000
4201300200010323010210231
5123430002003043112341
61243433254243002513
743162332064222302
oct4160400473044455
9643613155680760
10148468512082221
1143341162560231
121479a238369439
1364ac69ca387c6
142893cb2ca90a9
1512270179eb8b6
hex870804ec492d

148468512082221 has 64 divisors (see below), whose sum is σ = 230873971852800. Its totient is φ = 94117173308928.

The previous prime is 148468512082211. The next prime is 148468512082259. The reversal of 148468512082221 is 122280215864841.

148468512082221 is a `hidden beast` number, since 1 + 4 + 8 + 46 + 8 + 512 + 0 + 82 + 2 + 2 + 1 = 666.

It is not a de Polignac number, because 148468512082221 - 215 = 148468512049453 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148468512082211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75368995 + ... + 77313791.

It is an arithmetic number, because the mean of its divisors is an integer number (3607405810200).

Almost surely, 2148468512082221 is an apocalyptic number.

It is an amenable number.

148468512082221 is a deficient number, since it is larger than the sum of its proper divisors (82405459770579).

148468512082221 is a wasteful number, since it uses less digits than its factorization.

148468512082221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1945555 (or 1945549 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 54.

The spelling of 148468512082221 in words is "one hundred forty-eight trillion, four hundred sixty-eight billion, five hundred twelve million, eighty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 23 27 69 207 269 457 621 807 1371 2421 4113 6187 7263 10511 12339 18561 31533 55683 94599 122933 167049 283797 368799 1106397 1944797 2827459 3319191 5834391 8482377 17503173 25447131 44730331 52509519 76341393 134190993 402572979 523150393 888772229 1207718937 1569451179 2666316687 4708353537 7998950061 12032459039 14125060611 20441761267 23996850183 36097377117 61325283801 108292131351 183975851403 239079729601 324876394053 551927554209 717239188803 2151717566409 5498833780823 6455152699227 16496501342469 49489504027407 148468512082221