Search a number
-
+
63188828048 = 2419418956963
BaseRepresentation
bin111010110110010110…
…001111111110010000
320001002201221001110202
4322312112033332100
52013402314444143
645010055514332
74364610114323
oct726626177620
9201081831422
1063188828048
112488649a845
12102b59889a8
135c602b68a8
1430b61b07ba
15199c695ab8
hexeb658ff90

63188828048 has 80 divisors (see below), whose sum is σ = 133500830400. Its totient is φ = 28872898560.

The previous prime is 63188828041. The next prime is 63188828051. The reversal of 63188828048 is 84082888136.

It is a happy number.

It is a super-2 number, since 2×631888280482 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 63188827984 and 63188828002.

It is not an unprimeable number, because it can be changed into a prime (63188828041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1080815 + ... + 1137777.

It is an arithmetic number, because the mean of its divisors is an integer number (1668760380).

Almost surely, 263188828048 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 63188828048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66750415200).

63188828048 is an abundant number, since it is smaller than the sum of its proper divisors (70312002352).

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

63188828048 is a wasteful number, since it uses less digits than its factorization.

63188828048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57120 (or 57114 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 56.

The spelling of 63188828048 in words is "sixty-three billion, one hundred eighty-eight million, eight hundred twenty-eight thousand, forty-eight".

Divisors: 1 2 4 8 16 19 38 41 76 82 89 152 164 178 304 328 356 656 712 779 1424 1558 1691 3116 3382 3649 6232 6764 7298 12464 13528 14596 27056 29192 56963 58384 69331 113926 138662 227852 277324 455704 554648 911408 1082297 1109296 2164594 2335483 4329188 4670966 5069707 8658376 9341932 10139414 17316752 18683864 20278828 37367728 40557656 44374177 81115312 88748354 96324433 177496708 192648866 207857987 354993416 385297732 415715974 709986832 770595464 831431948 1541190928 1662863896 3325727792 3949301753 7898603506 15797207012 31594414024 63188828048