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30940748928 = 273310938191
BaseRepresentation
bin11100110100001101…
…100101110010000000
32221212022110220022000
4130310031211302000
51001331312431203
622114115344000
72143512012045
oct346415456200
987768426260
1030940748928
1112138278691
125bb5bb2000
132bc125817b
1416d73711cc
15c115044a3
hex734365c80

30940748928 has 128 divisors (see below), whose sum is σ = 91412889600. Its totient is φ = 10302888960.

The previous prime is 30940748893. The next prime is 30940748939. The reversal of 30940748928 is 82984704903.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3773313 + ... + 3781503.

It is an arithmetic number, because the mean of its divisors is an integer number (714163200).

Almost surely, 230940748928 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 30940748928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45706444800).

30940748928 is an abundant number, since it is smaller than the sum of its proper divisors (60472140672).

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

30940748928 is a wasteful number, since it uses less digits than its factorization.

30940748928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9307 (or 9289 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 30940748928 in words is "thirty billion, nine hundred forty million, seven hundred forty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1093 1152 1728 2186 3279 3456 4372 6558 8191 8744 9837 13116 16382 17488 19674 24573 26232 29511 32764 34976 39348 49146 52464 59022 65528 69952 73719 78696 98292 104928 118044 131056 139904 147438 157392 196584 209856 221157 236088 262112 294876 314784 393168 419712 442314 472176 524224 589752 629568 786336 884628 944352 1048448 1179504 1259136 1572672 1769256 1888704 2359008 3145344 3538512 3777408 4718016 7077024 8952763 9436032 14154048 17905526 26858289 28308096 35811052 53716578 71622104 80574867 107433156 143244208 161149734 214866312 241724601 286488416 322299468 429732624 483449202 572976832 644598936 859465248 966898404 1145953664 1289197872 1718930496 1933796808 2578395744 3437860992 3867593616 5156791488 7735187232 10313582976 15470374464 30940748928