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19085947088 = 24131092333613
BaseRepresentation
bin10001110001100111…
…000111000011010000
31211021010120120101012
4101301213013003100
5303042000301323
612433514030052
71243652605415
oct216147070320
954233516335
1019085947088
11810457959a
123847a18328
131a52200a20
14cd0b4c10c
1576a8b5678
hex4719c70d0

19085947088 has 80 divisors (see below), whose sum is σ = 40372572240. Its totient is φ = 8688218112.

The previous prime is 19085947081. The next prime is 19085947099. The reversal of 19085947088 is 88074958091.

It can be written as a sum of positive squares in 8 ways, for example, as 6696476224 + 12389470864 = 81832^2 + 111308^2 .

It is a super-3 number, since 3×190859470883 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19085947081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5280770 + ... + 5284382.

It is an arithmetic number, because the mean of its divisors is an integer number (504657153).

Almost surely, 219085947088 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 19085947088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20186286120).

19085947088 is an abundant number, since it is smaller than the sum of its proper divisors (21286625152).

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

19085947088 is a wasteful number, since it uses less digits than its factorization.

19085947088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3976 (or 3970 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 59.

The spelling of 19085947088 in words is "nineteen billion, eighty-five million, nine hundred forty-seven thousand, eighty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 109 208 218 233 436 466 872 932 1417 1744 1864 2834 3029 3613 3728 5668 6058 7226 11336 12116 14452 22672 24232 25397 28904 46969 48464 50794 57808 93938 101588 187876 203176 330161 375752 393817 406352 660322 751504 787634 841829 1320644 1575268 1683658 2641288 3150536 3367316 5119621 5282576 6301072 6734632 10239242 10943777 13469264 20478484 21887554 40956968 43775108 81913936 87550216 91759361 175100432 183518722 367037444 734074888 1192871693 1468149776 2385743386 4771486772 9542973544 19085947088