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10468982784 = 228313
BaseRepresentation
bin10011100000000000…
…00000000000000000
31000000121020102120010
421300000000000000
5132420024422114
64450454344520
7520300612461
oct116000000000
930017212503
1010468982784
114492516797
12204205b140
13caac02590
14714562d68
1541414ac59
hex270000000

10468982784 has 116 divisors (see below), whose sum is σ = 30064771016. Its totient is φ = 3221225472.

The previous prime is 10468982759. The next prime is 10468982791. The reversal of 10468982784 is 48728986401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 805306362 + ... + 805306374.

Almost surely, 210468982784 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 10468982784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15032385508).

10468982784 is an abundant number, since it is smaller than the sum of its proper divisors (19595788232).

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

10468982784 is an frugal number, since it uses more digits than its factorization.

10468982784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 57.

The spelling of 10468982784 in words is "ten billion, four hundred sixty-eight million, nine hundred eighty-two thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1024 1248 1536 1664 2048 2496 3072 3328 4096 4992 6144 6656 8192 9984 12288 13312 16384 19968 24576 26624 32768 39936 49152 53248 65536 79872 98304 106496 131072 159744 196608 212992 262144 319488 393216 425984 524288 638976 786432 851968 1048576 1277952 1572864 1703936 2097152 2555904 3145728 3407872 4194304 5111808 6291456 6815744 8388608 10223616 12582912 13631488 16777216 20447232 25165824 27262976 33554432 40894464 50331648 54525952 67108864 81788928 100663296 109051904 134217728 163577856 201326592 218103808 268435456 327155712 402653184 436207616 654311424 805306368 872415232 1308622848 1744830464 2617245696 3489660928 5234491392 10468982784