Search a number
-
+
681460018950 = 235237739166151
BaseRepresentation
bin10011110101010100010…
…11101010111100000110
32102010222010020202222010
421322222023222330012
542131112231101300
61241020341115050
7100143133405434
oct11725213527406
92363863222863
10681460018950
11243007462507
12b00a36b8a86
134c3523c6559
1424da8cb5d54
1512ad65d9a50
hex9eaa2eaf06

681460018950 has 96 divisors (see below), whose sum is σ = 1738056257280. Its totient is φ = 176570928000.

The previous prime is 681460018949. The next prime is 681460018951. The reversal of 681460018950 is 59810064186.

It is an interprime number because it is at equal distance from previous prime (681460018949) and next prime (681460018951).

It is a self number, because there is not a number n which added to its sum of digits gives 681460018950.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681460018951) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4018375 + ... + 4184525.

It is an arithmetic number, because the mean of its divisors is an integer number (18104752680).

Almost surely, 2681460018950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 681460018950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869028128640).

681460018950 is an abundant number, since it is smaller than the sum of its proper divisors (1056596238330).

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

681460018950 is a wasteful number, since it uses less digits than its factorization.

681460018950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166942 (or 166937 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The spelling of 681460018950 in words is "six hundred eighty-one billion, four hundred sixty million, eighteen thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 37 50 74 75 111 150 185 222 370 555 739 925 1110 1478 1850 2217 2775 3695 4434 5550 7390 11085 18475 22170 27343 36950 54686 55425 82029 110850 136715 164058 166151 273430 332302 410145 498453 683575 820290 830755 996906 1367150 1661510 2050725 2492265 4101450 4153775 4984530 6147587 8307550 12295174 12461325 18442761 24922650 30737935 36885522 61475870 92213805 122785589 153689675 184427610 245571178 307379350 368356767 461069025 613927945 736713534 922138050 1227855890 1841783835 3069639725 3683567670 4543066793 6139279450 9086133586 9208919175 13629200379 18417838350 22715333965 27258400758 45430667930 68146001895 113576669825 136292003790 227153339650 340730009475 681460018950