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46988141380344 = 23322244492907623
BaseRepresentation
bin10101010111100010001110…
…11110011100001011111000
320011101000121100210200201100
422223301013132130023320
522124323203143132334
6243534015410251400
712616531642516623
oct1253610736341370
9204330540720640
1046988141380344
1113a766169159aa
12532a749586b60
13202ac6912cc88
14b863497b6dba
155674092c5c99
hex2abc4779c2f8

46988141380344 has 48 divisors (see below), whose sum is σ = 127260160326000. Its totient is φ = 15662638623744.

The previous prime is 46988141380333. The next prime is 46988141380373. The reversal of 46988141380344 is 44308314188964.

46988141380344 is a `hidden beast` number, since 4 + 6 + 9 + 88 + 141 + 380 + 34 + 4 = 666.

It is a super-2 number, since 2×469881413803442 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14706517 + ... + 17614139.

It is an arithmetic number, because the mean of its divisors is an integer number (2651253340125).

Almost surely, 246988141380344 is an apocalyptic number.

It is an amenable number.

46988141380344 is an abundant number, since it is smaller than the sum of its proper divisors (80272018945656).

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

46988141380344 is a wasteful number, since it uses less digits than its factorization.

46988141380344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3132084 (or 3132077 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 46988141380344 in words is "forty-six trillion, nine hundred eighty-eight billion, one hundred forty-one million, three hundred eighty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 224449 448898 673347 897796 1346694 1795592 2020041 2693388 2907623 4040082 5386776 5815246 8080164 8722869 11630492 16160328 17445738 23260984 26168607 34891476 52337214 69782952 104674428 209348856 652613074727 1305226149454 1957839224181 2610452298908 3915678448362 5220904597816 5873517672543 7831356896724 11747035345086 15662713793448 23494070690172 46988141380344