Search a number
-
+
162889102096 = 24717174149139
BaseRepresentation
bin1001011110110011110…
…0100111001100010000
3120120110000120202000021
42113230330213030100
510132044102231341
6202455154433224
714524354344250
oct2275474471420
9516400522007
10162889102096
1163098719346
122769b292814
131248b9931a6
147c534cd960
1543854279d1
hex25ecf27310

162889102096 has 80 divisors (see below), whose sum is σ = 382126792320. Its totient is φ = 65664092160.

The previous prime is 162889102063. The next prime is 162889102111. The reversal of 162889102096 is 690201988261.

162889102096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1628891020962 (a number of 23 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 3290295 + ... + 3339433.

It is an arithmetic number, because the mean of its divisors is an integer number (4776584904).

Almost surely, 2162889102096 is an apocalyptic number.

162889102096 is a gapful number since it is divisible by the number (16) 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 162889102096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191063396160).

162889102096 is an abundant number, since it is smaller than the sum of its proper divisors (219237690224).

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

162889102096 is a wasteful number, since it uses less digits than its factorization.

162889102096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50912 (or 50906 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 52.

The spelling of 162889102096 in words is "one hundred sixty-two billion, eight hundred eighty-nine million, one hundred two thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 952 1741 1904 3482 6964 12187 13928 24374 27856 29597 48748 49139 59194 97496 98278 118388 194992 196556 207179 236776 343973 393112 414358 473552 687946 786224 828716 835363 1375892 1657432 1670726 2751784 3314864 3341452 5503568 5847541 6682904 11695082 13365808 23390164 46780328 85550999 93560656 171101998 342203996 598856993 684407992 1197713986 1368815984 1454366983 2395427972 2908733966 4790855944 5817467932 9581711888 10180568881 11634935864 20361137762 23269871728 40722275524 81444551048 162889102096