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18922206744 = 2333726946523
BaseRepresentation
bin10001100111110110…
…011111011000011000
31210211201110200212000
4101213312133120120
5302223041103434
612405344321000
71236624050340
oct214766373030
953751420760
1018922206744
118030101aa1
123801013160
131a2730094c
14cb70c7d20
1575b31eb99
hex467d9f618

18922206744 has 128 divisors (see below), whose sum is σ = 60295104000. Its totient is φ = 5386131072.

The previous prime is 18922206727. The next prime is 18922206763. The reversal of 18922206744 is 44760222981.

It is a self number, because there is not a number n which added to its sum of digits gives 18922206744.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 383467 + ... + 429989.

It is an arithmetic number, because the mean of its divisors is an integer number (471055500).

Almost surely, 218922206744 is an apocalyptic number.

18922206744 is a gapful number since it is divisible by the number (14) 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 18922206744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30147552000).

18922206744 is an abundant number, since it is smaller than the sum of its proper divisors (41372897256).

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

18922206744 is a wasteful number, since it uses less digits than its factorization.

18922206744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46814 (or 46804 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 18922206744 in words is "eighteen billion, nine hundred twenty-two million, two hundred six thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 269 378 504 538 756 807 1076 1512 1614 1883 2152 2421 3228 3766 4842 5649 6456 7263 7532 9684 11298 14526 15064 16947 19368 22596 29052 33894 45192 46523 50841 58104 67788 93046 101682 135576 139569 186092 203364 279138 325661 372184 406728 418707 558276 651322 837414 976983 1116552 1256121 1302644 1674828 1953966 2512242 2605288 2930949 3349656 3907932 5024484 5861898 7815864 8792847 10048968 11723796 12514687 17585694 23447592 25029374 35171388 37544061 50058748 70342776 75088122 87602809 100117496 112632183 150176244 175205618 225264366 262808427 300352488 337896549 350411236 450528732 525616854 675793098 700822472 788425281 901057464 1051233708 1351586196 1576850562 2102467416 2365275843 2703172392 3153701124 4730551686 6307402248 9461103372 18922206744