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106426035408 = 243711177323203
BaseRepresentation
bin110001100011101111…
…1000110110011010000
3101011201000100202122010
41203013133012303100
53220430031113113
6120520315142520
710455223242420
oct1430737066320
9334630322563
10106426035408
11411537a4670
1218761a44a40
13a060c34364
145218690480
152b7d47a1c3
hex18c77c6cd0

106426035408 has 320 divisors, whose sum is σ = 367925594112. Its totient is φ = 25659555840.

The previous prime is 106426035389. The next prime is 106426035437. The reversal of 106426035408 is 804530624601.

It is a super-2 number, since 2×1064260354082 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4575135 + ... + 4598337.

Almost surely, 2106426035408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106426035408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183962797056).

106426035408 is an abundant number, since it is smaller than the sum of its proper divisors (261499558704).

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

106426035408 is a wasteful number, since it uses less digits than its factorization.

106426035408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23322 (or 23316 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 106426035408 in words is "one hundred six billion, four hundred twenty-six million, thirty-five thousand, four hundred eight".