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4881523968 = 28378719
BaseRepresentation
bin1001000101111011…
…00010010100000000
3110121012110010000000
410202331202110000
534444132231333
62124220000000
7231653161206
oct44275422400
913535403000
104881523968
112085547232
12b42990000
135ca449529
14344461076
151d8852713
hex122f62500

4881523968 has 144 divisors (see below), whose sum is σ = 14615417600. Its totient is φ = 1626988032.

The previous prime is 4881523961. The next prime is 4881523981. The reversal of 4881523968 is 8693251884.

4881523968 is a `hidden beast` number, since 488 + 152 + 3 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4881523961) 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, 555513 + ... + 564231.

Almost surely, 24881523968 is an apocalyptic number.

4881523968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4881523968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7307708800).

4881523968 is an abundant number, since it is smaller than the sum of its proper divisors (9733893632).

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

4881523968 is an frugal number, since it uses more digits than its factorization.

4881523968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8756 (or 8724 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The square root of 4881523968 is about 69867.9037040614. The cubic root of 4881523968 is about 1696.3617657139.

The spelling of 4881523968 in words is "four billion, eight hundred eighty-one million, five hundred twenty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 729 768 864 972 1152 1296 1458 1728 1944 2187 2304 2592 2916 3456 3888 4374 5184 5832 6912 7776 8719 8748 10368 11664 15552 17438 17496 20736 23328 26157 31104 34876 34992 46656 52314 62208 69752 69984 78471 93312 104628 139504 139968 156942 186624 209256 235413 279008 279936 313884 418512 470826 558016 559872 627768 706239 837024 941652 1116032 1255536 1412478 1674048 1883304 2118717 2232064 2511072 2824956 3348096 3766608 4237434 5022144 5649912 6356151 6696192 7533216 8474868 10044288 11299824 12712302 15066432 16949736 19068453 20088576 22599648 25424604 30132864 33899472 38136906 45199296 50849208 60265728 67798944 76273812 90398592 101698416 135597888 152547624 180797184 203396832 271195776 305095248 406793664 542391552 610190496 813587328 1220380992 1627174656 2440761984 4881523968