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38016096146 = 2737178941023
BaseRepresentation
bin100011011001111011…
…111001011110010010
310122010101222210000222
4203121323321132102
51110324110034041
625244144513042
72514034325360
oct433173713622
9118111883028
1038016096146
1115139105786
12744b61b782
13377b052762
141ba8d02630
15ec775374b
hex8d9ef9792

38016096146 has 32 divisors (see below), whose sum is σ = 66970859520. Its totient is φ = 15843024576.

The previous prime is 38016096127. The next prime is 38016096169. The reversal of 38016096146 is 64169061083.

It is a happy number.

It is a super-3 number, since 3×380160961463 (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 38016096097 and 38016096106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 906191 + ... + 947213.

It is an arithmetic number, because the mean of its divisors is an integer number (2092839360).

Almost surely, 238016096146 is an apocalyptic number.

38016096146 is a deficient number, since it is larger than the sum of its proper divisors (28954763374).

38016096146 is a wasteful number, since it uses less digits than its factorization.

38016096146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42858.

The product of its (nonzero) digits is 186624, while the sum is 44.

The spelling of 38016096146 in words is "thirty-eight billion, sixteen million, ninety-six thousand, one hundred forty-six".

Divisors: 1 2 7 14 37 74 259 518 1789 3578 12523 25046 41023 66193 82046 132386 287161 463351 574322 926702 1517851 3035702 10624957 21249914 73390147 146780294 513731029 1027462058 2715435439 5430870878 19008048073 38016096146