Search a number
-
+
100051616556 = 22331114983093
BaseRepresentation
bin101110100101110001…
…0101000001100101100
3100120020202202201212000
41131023202220030230
53114401203212211
6113544005212300
710141241465043
oct1351342501454
9316222681760
10100051616556
1139482590411
1217483101090
139586412898
144bb1c5955a
152908a33656
hex174b8a832c

100051616556 has 48 divisors (see below), whose sum is σ = 259419468000. Its totient is φ = 33347146176.

The previous prime is 100051616543. The next prime is 100051616573. The reversal of 100051616556 is 655616150001.

It is a super-2 number, since 2×1000516165562 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 100051616556.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1162546 + ... + 1245638.

It is an arithmetic number, because the mean of its divisors is an integer number (5404572250).

Almost surely, 2100051616556 is an apocalyptic number.

It is an amenable number.

100051616556 is an abundant number, since it is smaller than the sum of its proper divisors (159367851444).

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

100051616556 is a wasteful number, since it uses less digits than its factorization.

100051616556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94255 (or 94247 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

Adding to 100051616556 its reverse (655616150001), we get a palindrome (755667766557).

The spelling of 100051616556 in words is "one hundred billion, fifty-one million, six hundred sixteen thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 11149 22298 33447 44596 66894 83093 100341 133788 166186 200682 249279 301023 332372 401364 498558 602046 747837 997116 1204092 1495674 2243511 2991348 4487022 8974044 926403857 1852807714 2779211571 3705615428 5558423142 8337634713 11116846284 16675269426 25012904139 33350538852 50025808278 100051616556