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2484217656 = 2332593791543
BaseRepresentation
bin1001010000010010…
…0010011100111000
320102010111022222100
42110010202130320
520041424431111
61050301223400
7115363334034
oct22404423470
96363438870
102484217656
111065304548
12593b61b60
1330789499b
14197d031c4
15e815e756
hex94122738

2484217656 has 96 divisors (see below), whose sum is σ = 6864624000. Its totient is φ = 811363392.

The previous prime is 2484217607. The next prime is 2484217661. The reversal of 2484217656 is 6567124842.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1609221 + ... + 1610763.

It is an arithmetic number, because the mean of its divisors is an integer number (71506500).

Almost surely, 22484217656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2484217656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3432312000).

2484217656 is an abundant number, since it is smaller than the sum of its proper divisors (4380406344).

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

2484217656 is a wasteful number, since it uses less digits than its factorization.

2484217656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1993 (or 1986 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 2484217656 is about 49841.9266882812. The cubic root of 2484217656 is about 1354.3467857261.

The spelling of 2484217656 in words is "two billion, four hundred eighty-four million, two hundred seventeen thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 59 72 118 177 236 354 379 472 531 708 758 1062 1137 1416 1516 1543 2124 2274 3032 3086 3411 4248 4548 4629 6172 6822 9096 9258 12344 13644 13887 18516 22361 27288 27774 37032 44722 55548 67083 89444 91037 111096 134166 178888 182074 201249 268332 273111 364148 402498 536664 546222 584797 728296 804996 819333 1092444 1169594 1609992 1638666 1754391 2184888 2339188 3277332 3508782 4678376 5263173 6554664 7017564 10526346 14035128 21052692 34503023 42105384 69006046 103509069 138012092 207018138 276024184 310527207 414036276 621054414 828072552 1242108828 2484217656