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148996419912576 = 27331922738326099
BaseRepresentation
bin100001111000001011101110…
…101011101000001110000000
3201112112220210200111002021000
4201320023232223220032000
5124012124131444200301
61244520002123532000
743245431116565565
oct4170135653501600
9645486720432230
10148996419912576
1143525032791735
121486460768a000
13651a3c0972962
1428b167272886c
151235b1373b786
hex8782eeae8380

148996419912576 has 512 divisors, whose sum is σ = 466161868800000. Its totient is φ = 46720126826496.

The previous prime is 148996419912563. The next prime is 148996419912577. The reversal of 148996419912576 is 675219914699841.

148996419912576 is a `hidden beast` number, since 1 + 4 + 8 + 9 + 9 + 6 + 419 + 9 + 125 + 76 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 148996419912495 and 148996419912504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148996419912577) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5708880775 + ... + 5708906873.

It is an arithmetic number, because the mean of its divisors is an integer number (910472400000).

Almost surely, 2148996419912576 is an apocalyptic number.

148996419912576 is a gapful number since it is divisible by the number (16) 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 148996419912576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233080934400000).

148996419912576 is an abundant number, since it is smaller than the sum of its proper divisors (317165448887424).

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

148996419912576 is a wasteful number, since it uses less digits than its factorization.

148996419912576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26751 (or 26733 counting only the distinct ones).

The product of its digits is 2116316160, while the sum is 81.

The spelling of 148996419912576 in words is "one hundred forty-eight trillion, nine hundred ninety-six billion, four hundred nineteen million, nine hundred twelve thousand, five hundred seventy-six".