Search a number
-
+
10700605216 = 25785356003
BaseRepresentation
bin10011111011100111…
…00100011100100000
31000121202002001210201
421331303210130200
5133403323331331
64525451034544
7526112433520
oct117563443440
930552061721
1010700605216
1145a1238094
1220a773ba54
131016bac182
14737217680
1542964ea61
hex27dce4720

10700605216 has 48 divisors (see below), whose sum is σ = 24105017664. Its totient is φ = 4580515584.

The previous prime is 10700605199. The next prime is 10700605217. The reversal of 10700605216 is 61250600701.

10700605216 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 2×107006052162 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (10700605217) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 163071 + ... + 219073.

It is an arithmetic number, because the mean of its divisors is an integer number (502187868).

Almost surely, 210700605216 is an apocalyptic number.

10700605216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10700605216 is an abundant number, since it is smaller than the sum of its proper divisors (13404412448).

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

10700605216 is an equidigital number, since it uses as much as digits as its factorization.

10700605216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56873 (or 56865 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The spelling of 10700605216 in words is "ten billion, seven hundred million, six hundred five thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 853 1706 3412 5971 6824 11942 13648 23884 27296 47768 56003 95536 112006 191072 224012 392021 448024 784042 896048 1568084 1792096 3136168 6272336 12544672 47770559 95541118 191082236 334393913 382164472 668787826 764328944 1337575652 1528657888 2675151304 5350302608 10700605216