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18419429980 = 22571517571151
BaseRepresentation
bin10001001001111000…
…100011001001011100
31202112200101222210101
4101021320203021130
5300210333224410
612243424150444
71221310400020
oct211170431134
952480358711
1018419429980
1178a2319406
1236a0768424
1319770b59c3
14c6a40c380
1572c108d3a
hex449e2325c

18419429980 has 96 divisors (see below), whose sum is σ = 44596887552. Its totient is φ = 6259680000.

The previous prime is 18419429971. The next prime is 18419429981. The reversal of 18419429980 is 8992491481.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18419429981) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16002405 + ... + 16003555.

It is an arithmetic number, because the mean of its divisors is an integer number (464550912).

Almost surely, 218419429980 is an apocalyptic number.

18419429980 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 18419429980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22298443776).

18419429980 is an abundant number, since it is smaller than the sum of its proper divisors (26177457572).

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

18419429980 is a wasteful number, since it uses less digits than its factorization.

18419429980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2075 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 55.

The spelling of 18419429980 in words is "eighteen billion, four hundred nineteen million, four hundred twenty-nine thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 151 302 604 755 757 1057 1151 1510 1514 2114 2302 3020 3028 3785 4228 4604 5285 5299 5755 7570 8057 10570 10598 11510 15140 16114 21140 21196 23020 26495 32228 40285 52990 80570 105980 114307 161140 173801 228614 347602 457228 571535 695204 800149 869005 871307 1143070 1216607 1600298 1738010 1742614 2286140 2433214 3200596 3476020 3485228 4000745 4356535 4866428 6083035 6099149 8001490 8713070 12166070 12198298 16002980 17426140 24332140 24396596 30495745 60991490 121982980 131567357 263134714 526269428 657836785 920971499 1315673570 1841942998 2631347140 3683885996 4604857495 9209714990 18419429980