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4766832648 = 2332713372767
BaseRepresentation
bin1000111000010000…
…00001100000001000
3110022012122012002100
410130020001200020
534230302121043
62105001433400
7226061260164
oct43410014010
913265565070
104766832648
112026830a16
12b1049b860
135ac760a46
14333127ca4
151cd749cd3
hex11c201808

4766832648 has 96 divisors (see below), whose sum is σ = 13135599360. Its totient is φ = 1561351680.

The previous prime is 4766832647. The next prime is 4766832737. The reversal of 4766832648 is 8462386674.

It is a junction number, because it is equal to n+sod(n) for n = 4766832594 and 4766832603.

It is not an unprimeable number, because it can be changed into a prime (4766832641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1721361 + ... + 1724127.

It is an arithmetic number, because the mean of its divisors is an integer number (136829160).

Almost surely, 24766832648 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 4766832648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6567799680).

4766832648 is an abundant number, since it is smaller than the sum of its proper divisors (8368766712).

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

4766832648 is a wasteful number, since it uses less digits than its factorization.

4766832648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3187 (or 3180 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The square root of 4766832648 is about 69042.2526283724. The cubic root of 4766832648 is about 1682.9710098029.

The spelling of 4766832648 in words is "four billion, seven hundred sixty-six million, eight hundred thirty-two thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 142 213 284 337 426 568 639 674 852 1011 1278 1348 1704 2022 2556 2696 2767 3033 4044 5112 5534 6066 8088 8301 11068 12132 16602 22136 23927 24264 24903 33204 47854 49806 66408 71781 95708 99612 143562 191416 196457 199224 215343 287124 392914 430686 574248 589371 785828 861372 932479 1178742 1571656 1722744 1768113 1864958 2357484 2797437 3536226 3729916 4714968 5594874 7072452 7459832 8392311 11189748 14144904 16784622 22379496 33569244 66206009 67138488 132412018 198618027 264824036 397236054 529648072 595854081 794472108 1191708162 1588944216 2383416324 4766832648