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38430461374746 = 2371867490096939
BaseRepresentation
bin10001011110011110010011…
…11111111011000100011010
312001001220201221002200212220
420233033021333323010122
520014121041102442441
6213422413224244510
711044336441621260
oct1057171177730432
9161056657080786
1038430461374746
11112772a3625361
1243880b7910736
131859c914b6a2c
1496c089616430
154699e79ea466
hex22f3c9ffb11a

38430461374746 has 32 divisors (see below), whose sum is σ = 87888104056320. Its totient is φ = 10974250635696.

The previous prime is 38430461374729. The next prime is 38430461374757. The reversal of 38430461374746 is 64747316403483.

It is a happy number.

It is a super-2 number, since 2×384304613747462 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 38430461374746.

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, 244970056 + ... + 245126883.

It is an arithmetic number, because the mean of its divisors is an integer number (2746503251760).

Almost surely, 238430461374746 is an apocalyptic number.

38430461374746 is an abundant number, since it is smaller than the sum of its proper divisors (49457642681574).

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

38430461374746 is a wasteful number, since it uses less digits than its factorization.

38430461374746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490098818.

The product of its (nonzero) digits is 97542144, while the sum is 60.

The spelling of 38430461374746 in words is "thirty-eight trillion, four hundred thirty billion, four hundred sixty-one million, three hundred seventy-four thousand, seven hundred forty-six".

Divisors: 1 2 3 6 7 14 21 42 1867 3734 5601 11202 13069 26138 39207 78414 490096939 980193878 1470290817 2940581634 3430678573 6861357146 10292035719 20584071438 915010985113 1830021970226 2745032955339 5490065910678 6405076895791 12810153791582 19215230687373 38430461374746