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18219304464 = 2431726591993
BaseRepresentation
bin10000111101111101…
…001000011000010000
31202000201211120012020
4100331331020120100
5244303120220324
612211514531440
71213330350504
oct207575103020
952021746166
1018219304464
1177aa360119
123645736b80
1319447b653a
14c4b9d6304
15719777679
hex43df48610

18219304464 has 120 divisors (see below), whose sum is σ = 50099010720. Its totient is φ = 5704323072.

The previous prime is 18219304451. The next prime is 18219304501. The reversal of 18219304464 is 46440391281.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9140652 + ... + 9142644.

It is an arithmetic number, because the mean of its divisors is an integer number (417491756).

Almost surely, 218219304464 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 18219304464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25049505360).

18219304464 is an abundant number, since it is smaller than the sum of its proper divisors (31879706256).

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

18219304464 is a wasteful number, since it uses less digits than its factorization.

18219304464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2697 (or 2674 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 18219304464 in words is "eighteen billion, two hundred nineteen million, three hundred four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 289 408 578 659 816 867 1156 1318 1734 1977 1993 2312 2636 3468 3954 3986 4624 5272 5979 6936 7908 7972 10544 11203 11958 13872 15816 15944 22406 23916 31632 31888 33609 33881 44812 47832 67218 67762 89624 95664 101643 134436 135524 179248 190451 203286 268872 271048 380902 406572 537744 542096 571353 575977 761804 813144 1142706 1151954 1313387 1523608 1626288 1727931 2285412 2303908 2626774 3047216 3455862 3940161 4570824 4607816 5253548 6911724 7880322 9141648 9215632 10507096 13823448 15760644 21014192 22327579 27646896 31521288 44655158 63042576 66982737 89310316 133965474 178620632 267930948 357241264 379568843 535861896 759137686 1071723792 1138706529 1518275372 2277413058 3036550744 4554826116 6073101488 9109652232 18219304464