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149474615431680 = 2933571119103113127
BaseRepresentation
bin100001111111001001000101…
…010110110001001000000000
3201121020122002221201101211000
4201333021011112301020000
5124042443003022303210
61245523405041252000
743325120212462140
oct4177110526611000
9647218087641730
10149474615431680
1143699912685990
1214921222334000
13655351b617316
1428ca877b44920
15124329eeb2ac0
hex87f2455b1200

149474615431680 has 5120 divisors, whose sum is σ = 715379127091200. Its totient is φ = 28653980221440.

The previous prime is 149474615431619. The next prime is 149474615431693. The reversal of 149474615431680 is 86134516474941.

It is a happy number.

149474615431680 is a `hidden beast` number, since 1 + 4 + 9 + 4 + 7 + 4 + 6 + 1 + 543 + 1 + 6 + 80 = 666.

149474615431680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 511 ways as a sum of consecutive naturals, for example, 1176965475777 + ... + 1176965475903.

It is an arithmetic number, because the mean of its divisors is an integer number (139722485760).

Almost surely, 2149474615431680 is an apocalyptic number.

149474615431680 is a gapful number since it is divisible by the number (10) 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 149474615431680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357689563545600).

149474615431680 is an abundant number, since it is smaller than the sum of its proper divisors (565904511659520).

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

149474615431680 is a wasteful number, since it uses less digits than its factorization.

149474615431680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 149474615431680 in words is "one hundred forty-nine trillion, four hundred seventy-four billion, six hundred fifteen million, four hundred thirty-one thousand, six hundred eighty".