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30297483648 = 27345949529
BaseRepresentation
bin11100001101110111…
…101110100110000000
32220012111001122020000
4130031313232212000
5444022123434043
621530220120000
72121541235055
oct341567564600
986174048200
1030297483648
1111938159993
125a56696000
132b1abc1723
141675b6502c
15bc4cdc2d3
hex70ddee980

30297483648 has 160 divisors (see below), whose sum is σ = 91694889000. Its totient is φ = 9927788544.

The previous prime is 30297483607. The next prime is 30297483653. The reversal of 30297483648 is 84638479203.

30297483648 is a `hidden beast` number, since 30 + 2 + 97 + 483 + 6 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 30297483594 and 30297483603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 586948 + ... + 636476.

Almost surely, 230297483648 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 30297483648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45847444500).

30297483648 is an abundant number, since it is smaller than the sum of its proper divisors (61397405352).

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

30297483648 is an equidigital number, since it uses as much as digits as its factorization.

30297483648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49614 (or 49593 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 30297483648 in words is "thirty billion, two hundred ninety-seven million, four hundred eighty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 64 72 81 96 108 118 128 144 162 177 192 216 236 288 324 354 384 432 472 531 576 648 708 864 944 1062 1152 1296 1416 1593 1728 1888 2124 2592 2832 3186 3456 3776 4248 4779 5184 5664 6372 7552 8496 9558 10368 11328 12744 16992 19116 22656 25488 33984 38232 49529 50976 67968 76464 99058 101952 148587 152928 198116 203904 297174 305856 396232 445761 594348 611712 792464 891522 1188696 1337283 1584928 1783044 2377392 2674566 2922211 3169856 3566088 4011849 4754784 5349132 5844422 6339712 7132176 8023698 8766633 9509568 10698264 11688844 14264352 16047396 17533266 19019136 21396528 23377688 26299899 28528704 32094792 35066532 42793056 46755376 52599798 57057408 64189584 70133064 78899697 85586112 93510752 105199596 128379168 140266128 157799394 171172224 187021504 210399192 236699091 256758336 280532256 315598788 374043008 420798384 473398182 513516672 561064512 631197576 841596768 946796364 1122129024 1262395152 1683193536 1893592728 2524790304 3366387072 3787185456 5049580608 7574370912 10099161216 15148741824 30297483648