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19909000764 = 22321727092699
BaseRepresentation
bin10010100010101010…
…110011111000111100
31220101111022000202200
4102202222303320330
5311233201011024
613051314551500
71303235500002
oct224252637074
956344260680
1019909000764
118497125a44
123a37598590
131b53895c33
14d6c198a72
157b7c932c9
hex4a2ab3e3c

19909000764 has 108 divisors (see below), whose sum is σ = 53555229000. Its totient is φ = 6234840576.

The previous prime is 19909000763. The next prime is 19909000829. The reversal of 19909000764 is 46700090991.

It is a super-2 number, since 2×199090007642 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19909000763) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7375087 + ... + 7377785.

It is an arithmetic number, because the mean of its divisors is an integer number (495881750).

Almost surely, 219909000764 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 19909000764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26777614500).

19909000764 is an abundant number, since it is smaller than the sum of its proper divisors (33646228236).

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

19909000764 is a wasteful number, since it uses less digits than its factorization.

19909000764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3452 (or 3430 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 19909000764 in words is "nineteen billion, nine hundred nine million, seven hundred sixty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 289 306 578 612 709 867 1156 1418 1734 2127 2601 2699 2836 3468 4254 5202 5398 6381 8097 8508 10404 10796 12053 12762 16194 24106 24291 25524 32388 36159 45883 48212 48582 72318 91766 97164 108477 137649 144636 183532 204901 216954 275298 409802 412947 433908 550596 614703 780011 819604 825894 1229406 1560022 1651788 1844109 1913591 2340033 2458812 3120044 3688218 3827182 4680066 5740773 7020099 7376436 7654364 9360132 11481546 14040198 17222319 22963092 28080396 32531047 34444638 65062094 68889276 97593141 130124188 195186282 292779423 390372564 553027799 585558846 1106055598 1171117692 1659083397 2212111196 3318166794 4977250191 6636333588 9954500382 19909000764