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18790481920 = 22957
BaseRepresentation
bin10001100000000000…
…000000000000000000
31210111112121101100211
4101200000000000000
5301440330410140
612344321123504
71233434314060
oct214000000000
953445541324
1018790481920
117a72812201
123784a89594
131a05c30072
14ca37d93a0
1574e9a02ea
hex460000000

18790481920 has 120 divisors (see below), whose sum is σ = 51539607504. Its totient is φ = 6442450944.

The previous prime is 18790481911. The next prime is 18790481959. The reversal of 18790481920 is 2918409781.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2684354557 + ... + 2684354563.

Almost surely, 218790481920 is an apocalyptic number.

18790481920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18790481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25769803752).

18790481920 is an abundant number, since it is smaller than the sum of its proper divisors (32749125584).

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

18790481920 is an frugal number, since it uses more digits than its factorization.

18790481920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 49.

The spelling of 18790481920 in words is "eighteen billion, seven hundred ninety million, four hundred eighty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1024 1120 1280 1792 2048 2240 2560 3584 4096 4480 5120 7168 8192 8960 10240 14336 16384 17920 20480 28672 32768 35840 40960 57344 65536 71680 81920 114688 131072 143360 163840 229376 262144 286720 327680 458752 524288 573440 655360 917504 1048576 1146880 1310720 1835008 2097152 2293760 2621440 3670016 4194304 4587520 5242880 7340032 8388608 9175040 10485760 14680064 16777216 18350080 20971520 29360128 33554432 36700160 41943040 58720256 67108864 73400320 83886080 117440512 134217728 146800640 167772160 234881024 268435456 293601280 335544320 469762048 536870912 587202560 671088640 939524096 1174405120 1342177280 1879048192 2348810240 2684354560 3758096384 4697620480 9395240960 18790481920