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38222172496 = 2417157895049
BaseRepresentation
bin100011100110001110…
…000001000101010000
310122122202202112122101
4203212032001011100
51111234334004441
625320425450144
72522116051144
oct434616010520
9118582675571
1038222172496
1115234468a12
1274a8640954
1337b1956721
141bc8427224
15eda8ad231
hex8e6381150

38222172496 has 40 divisors (see below), whose sum is σ = 78911188200. Its totient is φ = 17872318464.

The previous prime is 38222172437. The next prime is 38222172509. The reversal of 38222172496 is 69427122283.

It can be written as a sum of positive squares in 4 ways, for example, as 16358410000 + 21863762496 = 127900^2 + 147864^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 404821 + ... + 490228.

It is an arithmetic number, because the mean of its divisors is an integer number (1972779705).

Almost surely, 238222172496 is an apocalyptic number.

It is an amenable number.

38222172496 is an abundant number, since it is smaller than the sum of its proper divisors (40689015704).

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

38222172496 is a wasteful number, since it uses less digits than its factorization.

38222172496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895231 (or 895225 counting only the distinct ones).

The product of its digits is 580608, while the sum is 46.

The spelling of 38222172496 in words is "thirty-eight billion, two hundred twenty-two million, one hundred seventy-two thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 17 34 68 136 157 272 314 628 1256 2512 2669 5338 10676 21352 42704 895049 1790098 3580196 7160392 14320784 15215833 30431666 60863332 121726664 140522693 243453328 281045386 562090772 1124181544 2248363088 2388885781 4777771562 9555543124 19111086248 38222172496