Search a number
-
+
16402526680 = 235617985093
BaseRepresentation
bin11110100011010101…
…01011000111011000
31120100010020200121011
433101222223013120
5232043021323210
611311335023304
71120320114331
oct172152530730
946303220534
1016402526680
116a57887081
12321920ab34
1317152a08b7
14b185d3288
15660007d8a
hex3d1aab1d8

16402526680 has 64 divisors (see below), whose sum is σ = 37985961600. Its totient is φ = 6371688960.

The previous prime is 16402526629. The next prime is 16402526683. The reversal of 16402526680 is 8662520461.

It is a super-2 number, since 2×164025266802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16402526683) 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, 150214 + ... + 235306.

It is an arithmetic number, because the mean of its divisors is an integer number (593530650).

Almost surely, 216402526680 is an apocalyptic number.

16402526680 is a gapful number since it is divisible by the number (10) 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 16402526680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18992980800).

16402526680 is an abundant number, since it is smaller than the sum of its proper divisors (21583434920).

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

16402526680 is a wasteful number, since it uses less digits than its factorization.

16402526680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85244 (or 85240 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 16402526680 in words is "sixteen billion, four hundred two million, five hundred twenty-six thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 61 79 122 158 244 305 316 395 488 610 632 790 1220 1580 2440 3160 4819 9638 19276 24095 38552 48190 85093 96380 170186 192760 340372 425465 680744 850930 1701860 3403720 5190673 6722347 10381346 13444694 20762692 25953365 26889388 33611735 41525384 51906730 53778776 67223470 103813460 134446940 207626920 268893880 410063167 820126334 1640252668 2050315835 3280505336 4100631670 8201263340 16402526680