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190507422848 = 2717322232
BaseRepresentation
bin1011000101101100100…
…0001001010010000000
3200012201210022210122212
42301123020021102000
511110124400012343
6223303511121252
716522644242651
oct2613310112200
9605653283585
10190507422848
1173880523516
1230b08673228
1314c707b5612
1493134c7528
154e4ede8c18
hex2c5b209480

190507422848 has 72 divisors (see below), whose sum is σ = 383452465545. Its totient is φ = 94278434304.

The previous prime is 190507422839. The next prime is 190507422851. The reversal of 190507422848 is 848224705091.

Multipling 190507422848 by its sum of digits (50), we get a square (9525371142400 = 30863202).

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 149868088384 + 40639334464 = 387128^2 + 201592^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=308632.

It is a super-2 number, since 2×1905074228482 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 190507422796 and 190507422805.

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 8 ways as a sum of consecutive naturals, for example, 854293265 + ... + 854293487.

Almost surely, 2190507422848 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 190507422848

190507422848 is an abundant number, since it is smaller than the sum of its proper divisors (192945042697).

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

190507422848 is an frugal number, since it uses more digits than its factorization.

190507422848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 50.

The spelling of 190507422848 in words is "one hundred ninety billion, five hundred seven million, four hundred twenty-two thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 128 173 223 346 446 692 892 1384 1784 2768 3568 5536 7136 11072 14272 22144 28544 29929 38579 49729 59858 77158 99458 119716 154316 198916 239432 308632 397832 478864 617264 795664 957728 1234528 1591328 1915456 2469056 3182656 3830912 4938112 6365312 6674167 8603117 13348334 17206234 26696668 34412468 53393336 68824936 106786672 137649872 213573344 275299744 427146688 550599488 854293376 1101198976 1488339241 2976678482 5953356964 11906713928 23813427856 47626855712 95253711424 190507422848