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190319397012 = 223329118751193
BaseRepresentation
bin1011000100111111101…
…0111000100010010100
3200012020200112002201000
42301033322320202110
511104233231201022
6223233113103300
716515202116453
oct2611772704224
9605220462630
10190319397012
1173794379968
1230a756b7b30
1314c40861624
1492d6540b9a
154e3d6576ac
hex2c4feb8894

190319397012 has 96 divisors (see below), whose sum is σ = 510875164800. Its totient is φ = 61199421696.

The previous prime is 190319397001. The next prime is 190319397017. The reversal of 190319397012 is 210793913091.

190319397012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1903193970122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190319397017) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3692088 + ... + 3743280.

It is an arithmetic number, because the mean of its divisors is an integer number (5321616300).

Almost surely, 2190319397012 is an apocalyptic number.

190319397012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190319397012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255437582400).

190319397012 is an abundant number, since it is smaller than the sum of its proper divisors (320555767788).

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

190319397012 is a wasteful number, since it uses less digits than its factorization.

190319397012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52422 (or 52414 counting only the distinct ones).

The product of its (nonzero) digits is 91854, while the sum is 45.

The spelling of 190319397012 in words is "one hundred ninety billion, three hundred nineteen million, three hundred ninety-seven thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 522 783 1044 1187 1566 2374 3132 3561 4748 7122 10683 14244 21366 32049 34423 42732 51193 64098 68846 102386 103269 128196 137692 153579 204772 206538 307158 309807 413076 460737 614316 619614 921474 929421 1239228 1382211 1484597 1842948 1858842 2764422 2969194 3717684 4453791 5528844 5938388 8907582 13361373 17815164 26722746 40084119 53445492 60766091 80168238 121532182 160336476 182298273 243064364 364596546 546894819 729193092 1093789638 1640684457 1762216639 2187579276 3281368914 3524433278 5286649917 6562737828 7048866556 10573299834 15859949751 21146599668 31719899502 47579849253 63439799004 95159698506 190319397012