Search a number
-
+
90916913610 = 23257122962131
BaseRepresentation
bin101010010101100010…
…0100000000111001010
322200200011012202010200
41110223010200013022
52442144212213420
6105433332553030
76366002005035
oct1245304400712
9280604182120
1090916913610
1135615255936
1215753a82776
13875ba8b303
1445869bc01c
152571ae9b90
hex152b1201ca

90916913610 has 96 divisors (see below), whose sum is σ = 240763985280. Its totient is φ = 23798275200.

The previous prime is 90916913573. The next prime is 90916913621. The reversal of 90916913610 is 1631961909.

90916913610 is a `hidden beast` number, since 9 + 0 + 9 + 16 + 9 + 13 + 610 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1432245 + ... + 1494375.

It is an arithmetic number, because the mean of its divisors is an integer number (2507958180).

Almost surely, 290916913610 is an apocalyptic number.

90916913610 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 90916913610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120381992640).

90916913610 is an abundant number, since it is smaller than the sum of its proper divisors (149847071670).

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

90916913610 is a wasteful number, since it uses less digits than its factorization.

90916913610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62444 (or 62441 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 45.

The spelling of 90916913610 in words is "ninety billion, nine hundred sixteen million, nine hundred thirteen thousand, six hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 71 90 142 213 229 355 426 458 639 687 710 1065 1145 1278 1374 2061 2130 2290 3195 3435 4122 6390 6870 10305 16259 20610 32518 48777 62131 81295 97554 124262 146331 162590 186393 243885 292662 310655 372786 487770 559179 621310 731655 931965 1118358 1463310 1863930 2795895 4411301 5591790 8822602 13233903 14227999 22056505 26467806 28455998 39701709 42683997 44113010 66169515 71139995 79403418 85367994 128051991 132339030 142279990 198508545 213419985 256103982 397017090 426839970 640259955 1010187929 1280519910 2020375858 3030563787 5050939645 6061127574 9091691361 10101879290 15152818935 18183382722 30305637870 45458456805 90916913610