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106411430564 = 221187128917387
BaseRepresentation
bin110001100011010011…
…1011001001010100100
3101011122222212202112222
41203012213121022210
53220412311234224
6120515034131512
710454655143615
oct1430647311244
9334588782488
10106411430564
114114652984a
1218758b80b98
13a05abbc83a
14521676bc0c
152b7c042b5e
hex18c69d92a4

106411430564 has 24 divisors (see below), whose sum is σ = 186532204320. Its totient is φ = 53116594496.

The previous prime is 106411430561. The next prime is 106411430579. The reversal of 106411430564 is 465034114601.

It is a super-2 number, since 2×1064114305642 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106411430561) 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, 6111479 + ... + 6128865.

It is an arithmetic number, because the mean of its divisors is an integer number (7772175180).

Almost surely, 2106411430564 is an apocalyptic number.

It is an amenable number.

106411430564 is a deficient number, since it is larger than the sum of its proper divisors (80120773756).

106411430564 is a wasteful number, since it uses less digits than its factorization.

106411430564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19867 (or 19865 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 106411430564 in words is "one hundred six billion, four hundred eleven million, four hundred thirty thousand, five hundred sixty-four".

Divisors: 1 2 4 1187 1289 2374 2578 4748 5156 17387 34774 69548 1530043 3060086 6120172 20638369 22411843 41276738 44823686 82553476 89647372 26602857641 53205715282 106411430564