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93029068296 = 2335110943151
BaseRepresentation
bin101011010100011110…
…1101110111000001000
322220010100121022200000
41112220331232320020
53011010420141141
6110423103443000
76502230014313
oct1265075567010
9286110538600
1093029068296
11364a9535a1a
12160432b6460
138a07543698
14470730d97a
1526472635b6
hex15a8f6ee08

93029068296 has 96 divisors (see below), whose sum is σ = 261527011200. Its totient is φ = 30981009600.

The previous prime is 93029068243. The next prime is 93029068331. The reversal of 93029068296 is 69286092039.

93029068296 is a `hidden beast` number, since 9 + 3 + 0 + 290 + 68 + 296 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2134321 + ... + 2177471.

It is an arithmetic number, because the mean of its divisors is an integer number (2724239700).

Almost surely, 293029068296 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 93029068296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130763505600).

93029068296 is an abundant number, since it is smaller than the sum of its proper divisors (168497942904).

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

93029068296 is a wasteful number, since it uses less digits than its factorization.

93029068296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44281 (or 44265 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 93029068296 in words is "ninety-three billion, twenty-nine million, sixty-eight thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1109 1944 2218 3327 4436 6654 8872 9981 13308 19962 26616 29943 39924 43151 59886 79848 86302 89829 119772 129453 172604 179658 239544 258906 269487 345208 359316 388359 517812 538974 718632 776718 1035624 1077948 1165077 1553436 2155896 2330154 3106872 3495231 4660308 6990462 9320616 10485693 13980924 20971386 27961848 41942772 47854459 83885544 95708918 143563377 191417836 287126754 382835672 430690131 574253508 861380262 1148507016 1292070393 1722760524 2584140786 3445521048 3876211179 5168281572 7752422358 10336563144 11628633537 15504844716 23257267074 31009689432 46514534148 93029068296