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423634616316 = 2232193251421577
BaseRepresentation
bin1100010101000101001…
…01110011111111111100
31111111110211021021111200
412022202211303333330
523420100430210231
6522340504015500
742415026552642
oct6124245637774
91444424237450
10423634616316
1115373177345a
126a12a461590
1330c44026302
141670b089192
15b0467b2be6
hex62a2973ffc

423634616316 has 144 divisors (see below), whose sum is σ = 1085135452128. Its totient is φ = 139345920000.

The previous prime is 423634616261. The next prime is 423634616359. The reversal of 423634616316 is 613616436324.

423634616316 is a `hidden beast` number, since 4 + 2 + 3 + 6 + 3 + 4 + 6 + 1 + 631 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 734201820 + ... + 734202396.

It is an arithmetic number, because the mean of its divisors is an integer number (7535662862).

Almost surely, 2423634616316 is an apocalyptic number.

It is an amenable number.

423634616316 is an abundant number, since it is smaller than the sum of its proper divisors (661500835812).

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

423634616316 is a wasteful number, since it uses less digits than its factorization.

423634616316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452 (or 1447 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 45.

The spelling of 423634616316 in words is "four hundred twenty-three billion, six hundred thirty-four million, six hundred sixteen thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 193 251 386 421 502 577 579 753 772 842 1004 1154 1158 1263 1506 1684 1731 1737 2259 2308 2316 2526 3012 3462 3474 3789 4518 5052 5193 6924 6948 7578 9036 10386 15156 20772 48443 81253 96886 105671 111361 144827 145329 162506 193772 211342 222722 242917 243759 289654 290658 317013 325012 334083 422684 434481 435987 445444 485834 487518 579308 581316 634026 668166 728751 731277 868962 871974 951039 971668 975036 1002249 1268052 1303443 1336332 1457502 1462554 1737924 1743948 1902078 2004498 2186253 2606886 2915004 2925108 3804156 4008996 4372506 5213772 8745012 20394503 27951611 40789006 46882981 55903222 60972167 61183509 81578012 83854833 93765962 111806444 121944334 122367018 140648943 167709666 182916501 183550527 187531924 243888668 244734036 251564499 281297886 335419332 365833002 367101054 421946829 503128998 548749503 562595772 731666004 734202108 843893658 1006257996 1097499006 1687787316 2194998012 11767628231 23535256462 35302884693 47070512924 70605769386 105908654079 141211538772 211817308158 423634616316