Search a number
-
+
4868676432 = 2432192377369
BaseRepresentation
bin1001000100011001…
…00001101101010000
3110120022021101111100
410202030201231100
534432340121212
62123040344400
7231436031634
oct44214415520
913508241440
104868676432
112079271734
12b3a615100
135c789b839
14342878dc4
151d7665bdc
hex122321b50

4868676432 has 120 divisors (see below), whose sum is σ = 14966452800. Its totient is φ = 1470610944.

The previous prime is 4868676389. The next prime is 4868676481. The reversal of 4868676432 is 2346768684.

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, 24244 + ... + 101612.

It is an arithmetic number, because the mean of its divisors is an integer number (124720440).

Almost surely, 24868676432 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 4868676432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7483226400).

4868676432 is an abundant number, since it is smaller than the sum of its proper divisors (10097776368).

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

4868676432 is a wasteful number, since it uses less digits than its factorization.

4868676432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77425 (or 77416 counting only the distinct ones).

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

The square root of 4868676432 is about 69775.9015133448. The cubic root of 4868676432 is about 1694.8722570605.

The spelling of 4868676432 in words is "four billion, eight hundred sixty-eight million, six hundred seventy-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 23 24 36 38 46 48 57 69 72 76 92 114 138 144 152 171 184 207 228 276 304 342 368 414 437 456 552 684 828 874 912 1104 1311 1368 1656 1748 2622 2736 3312 3496 3933 5244 6992 7866 10488 15732 20976 31464 62928 77369 154738 232107 309476 464214 618952 696321 928428 1237904 1392642 1470011 1779487 1856856 2785284 2940022 3558974 3713712 4410033 5338461 5570568 5880044 7117948 8820066 10676922 11141136 11760088 13230099 14235896 16015383 17640132 21353844 23520176 26460198 28471792 32030766 33810253 35280264 42707688 52920396 64061532 67620506 70560528 85415376 101430759 105840792 128123064 135241012 202861518 211681584 256246128 270482024 304292277 405723036 540964048 608584554 811446072 1217169108 1622892144 2434338216 4868676432