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412711968100 = 22524127119681
BaseRepresentation
bin1100000000101111000…
…11001101110101100100
31110110021121101020222011
412000113203031311210
523230213230434400
6513333001444004
741550246563335
oct6002743156544
91413247336864
10412711968100
1114a037168163
1267ba04a0604
132cbc3142863
1415d9259228c
15ab079028ba
hex60178cdd64

412711968100 has 18 divisors (see below), whose sum is σ = 895584970994. Its totient is φ = 165084787200.

The previous prime is 412711968073. The next prime is 412711968187. The reversal of 412711968100 is 1869117214.

It can be written as a sum of positive squares in 3 ways, for example, as 62473216 + 412649494884 = 7904^2 + 642378^2 .

It is a super-2 number, since 2×4127119681002 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2063559741 + ... + 2063559940.

Almost surely, 2412711968100 is an apocalyptic number.

It is an amenable number.

412711968100 is an abundant number, since it is smaller than the sum of its proper divisors (482873002894).

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

412711968100 is a wasteful number, since it uses less digits than its factorization.

412711968100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4127119695 (or 4127119688 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 40.

The spelling of 412711968100 in words is "four hundred twelve billion, seven hundred eleven million, nine hundred sixty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 4127119681 8254239362 16508478724 20635598405 41271196810 82542393620 103177992025 206355984050 412711968100