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30848363952 = 2437229452269
BaseRepresentation
bin11100101110101101…
…001010110110110000
32221121212122020221020
4130232231022312300
51001134140121302
622101015255440
72141310524100
oct345655126660
987555566836
1030848363952
11120a010846a
125b8b07a580
132ba807c7c3
1416c8da3200
15c08355ebc
hex72eb4adb0

30848363952 has 120 divisors (see below), whose sum is σ = 95899330800. Its totient is φ = 8509874688.

The previous prime is 30848363939. The next prime is 30848363963. The reversal of 30848363952 is 25936384803.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 30848363895 and 30848363904.

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, 157927 + ... + 294342.

It is an arithmetic number, because the mean of its divisors is an integer number (799161090).

Almost surely, 230848363952 is an apocalyptic number.

It is an amenable number.

30848363952 is an abundant number, since it is smaller than the sum of its proper divisors (65050966848).

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

30848363952 is a wasteful number, since it uses less digits than its factorization.

30848363952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452323 (or 452310 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 51.

The spelling of 30848363952 in words is "thirty billion, eight hundred forty-eight million, three hundred sixty-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 49 56 58 84 87 98 112 116 147 168 174 196 203 232 294 336 348 392 406 464 588 609 696 784 812 1176 1218 1392 1421 1624 2352 2436 2842 3248 4263 4872 5684 8526 9744 11368 17052 22736 34104 68208 452269 904538 1356807 1809076 2713614 3165883 3618152 5427228 6331766 7236304 9497649 10854456 12663532 13115801 18995298 21708912 22161181 25327064 26231602 37990596 39347403 44322362 50654128 52463204 66483543 75981192 78694806 88644724 91810607 104926408 132967086 151962384 157389612 177289448 183621214 209852816 265934172 275431821 314779224 354578896 367242428 531868344 550863642 629558448 642674249 734484856 1063736688 1101727284 1285348498 1468969712 1928022747 2203454568 2570696996 3856045494 4406909136 5141393992 7712090988 10282787984 15424181976 30848363952