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18668978928 = 2433234214463
BaseRepresentation
bin10001011000110000…
…100000001011110000
31210012001222101121000
4101120300200023300
5301213224311203
612324301002000
71230430462665
oct213060401360
953161871530
1018668978928
117a10174206
123750253300
1319b69cacc2
14c9160ba6c
15743e9e4a3
hex458c202f0

18668978928 has 160 divisors (see below), whose sum is σ = 56062126080. Its totient is φ = 5936958720.

The previous prime is 18668978879. The next prime is 18668978953. The reversal of 18668978928 is 82987986681.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4180825 + ... + 4185287.

It is an arithmetic number, because the mean of its divisors is an integer number (350388288).

Almost surely, 218668978928 is an apocalyptic number.

18668978928 is a gapful number since it is divisible by the number (18) 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 18668978928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28031063040).

18668978928 is an abundant number, since it is smaller than the sum of its proper divisors (37393147152).

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

18668978928 is a wasteful number, since it uses less digits than its factorization.

18668978928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4924 (or 4912 counting only the distinct ones).

The product of its digits is 167215104, while the sum is 72.

The spelling of 18668978928 in words is "eighteen billion, six hundred sixty-eight million, nine hundred seventy-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 276 368 414 421 432 552 621 828 842 1104 1242 1263 1656 1684 2484 2526 3312 3368 3789 4463 4968 5052 6736 7578 8926 9683 9936 10104 11367 13389 15156 17852 19366 20208 22734 26778 29049 30312 35704 38732 40167 45468 53556 58098 60624 71408 77464 80334 87147 90936 102649 107112 116196 120501 154928 160668 174294 181872 205298 214224 232392 241002 261441 307947 321336 348588 410596 464784 482004 522882 615894 642672 697176 821192 923841 964008 1045764 1231788 1394352 1642384 1847682 1878923 1928016 2091528 2463576 2771523 3695364 3757846 4183056 4927152 5543046 5636769 7390728 7515692 11086092 11273538 14781456 15031384 16910307 22172184 22547076 30062768 33820614 43215229 44344368 45094152 50730921 67641228 86430458 90188304 101461842 129645687 135282456 172860916 202923684 259291374 270564912 345721832 388937061 405847368 518582748 691443664 777874122 811694736 1037165496 1166811183 1555748244 2074330992 2333622366 3111496488 4667244732 6222992976 9334489464 18668978928