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146823121648 = 2474016135333
BaseRepresentation
bin1000100010111101010…
…1110000101011110000
3112000222100121101001101
42020233111300223300
54401143204343043
6151241041014144
713415261641150
oct2105725605360
9460870541041
10146823121648
11572a3908455
1224556924354
1310acb347b98
14716b8a4760
153c44c4c24d
hex222f570af0

146823121648 has 80 divisors (see below), whose sum is σ = 326511976896. Its totient is φ = 62653132800.

The previous prime is 146823121631. The next prime is 146823121663. The reversal of 146823121648 is 846121328641.

It is a junction number, because it is equal to n+sod(n) for n = 146823121598 and 146823121607.

It is a congruent number.

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, 27528390 + ... + 27533722.

Almost surely, 2146823121648 is an apocalyptic number.

It is an amenable number.

146823121648 is an abundant number, since it is smaller than the sum of its proper divisors (179688855248).

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

146823121648 is a wasteful number, since it uses less digits than its factorization.

146823121648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6362 (or 6356 counting only the distinct ones).

The product of its digits is 442368, while the sum is 46.

The spelling of 146823121648 in words is "one hundred forty-six billion, eight hundred twenty-three million, one hundred twenty-one thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 401 613 802 1226 1604 2452 2807 3208 4291 4904 5333 5614 6416 8582 9808 10666 11228 17164 21332 22456 34328 37331 42664 44912 68656 74662 85328 149324 245813 298648 491626 597296 983252 1720691 1966504 2138533 3269129 3441382 3933008 4277066 6538258 6882764 8554132 13076516 13765528 14969731 17108264 22883903 26153032 27531056 29939462 34216528 45767806 52306064 59878924 91535612 119757848 183071224 239515696 366142448 1310920729 2621841458 5243682916 9176445103 10487365832 18352890206 20974731664 36705780412 73411560824 146823121648