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30680324964 = 22343722632
BaseRepresentation
bin11100100100101100…
…001001101101100100
32221012011102222210000
4130210230021231210
51000313130344324
622032213501300
72134200313362
oct344454115544
987164388700
1030680324964
1112014275273
125b42941830
132b7c305c53
1416b0940632
15be87119c9
hex724b09b64

30680324964 has 135 divisors (see below), whose sum is σ = 82745319657. Its totient is φ = 9912541536.

The previous prime is 30680324957. The next prime is 30680324971. The reversal of 30680324964 is 46942308603.

The square root of 30680324964 is 175158.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (30680324957) and next prime (30680324971).

It can be written as a sum of positive squares in only one way, i.e., 27453176100 + 3227148864 = 165690^2 + 56808^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 116655097 + ... + 116655359.

Almost surely, 230680324964 is an apocalyptic number.

30680324964 is the 175158-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30680324964

30680324964 is an abundant number, since it is smaller than the sum of its proper divisors (52064994693).

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

30680324964 is an equidigital number, since it uses as much as digits as its factorization.

30680324964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 30680324964 in words is "thirty billion, six hundred eighty million, three hundred twenty-four thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 263 324 333 444 526 666 789 999 1052 1332 1369 1578 1998 2367 2738 2997 3156 3996 4107 4734 5476 5994 7101 8214 9468 9731 11988 12321 14202 16428 19462 21303 24642 28404 29193 36963 38924 42606 49284 58386 69169 73926 85212 87579 110889 116772 138338 147852 175158 207507 221778 262737 276676 350316 360047 415014 443556 525474 622521 720094 788211 830028 1050948 1080141 1245042 1440188 1576422 1867563 2160282 2490084 2559253 3152844 3240423 3735126 4320564 5118506 5602689 6480846 7470252 7677759 9721269 10237012 11205378 12961692 15355518 19442538 22410756 23033277 29163807 30711036 38885076 46066554 58327614 69099831 92133108 94692361 116655228 138199662 189384722 207299493 276399324 284077083 378769444 414598986 568154166 829197972 852231249 1136308332 1704462498 2556693747 3408924996 5113387494 7670081241 10226774988 15340162482 30680324964